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Place Value Chart

Total questions: 150

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Use the place value chart shown to determine the digit in the tens place of the ones period for the number 5 213 572 483. Choose the correct digit.

a)

2

b)

3

c)

8

d)

4

2.

In the number 3 521 785 246, which digit is in the hundreds place of the thousands period?

a)

5

b)

1

c)

7

d)

8

3.

For the number 7 103 628 356, what is the value of the digit 7 based on its place value?

a)

7 ones

b)

7 tens

c)

7 millions

d)

7 billions

4.

Consider 9 237 031 359. Which option correctly lists the digits in the ones period (Hundreds, Tens, Ones) from left to right?

a)

3, 5, 9

b)

0, 3, 1

c)

9, 3, 5

d)

1, 3, 9

5.

In 2 125 284 275, what digit is in the tens place of the millions period?

a)

2

b)

1

c)

5

d)

8

6.

For the number 8 368 547 941, which statement is true about the digit 8?

a)

It represents 8 hundreds.

b)

It represents 8 thousands.

c)

It represents 8 millions.

d)

It represents 8 billions.

7.

In the number 245 842, which digit is in the ten-thousands place?

a)

2

b)

4

c)

5

d)

8

8.

In the number 8 581 578, which digit is in the millions place?

a)

8

b)

5

c)

1

d)

7

9.

In the number 42 846 285, which digit is in the thousands place?

a)

6

b)

2

c)

8

d)

5

10.

In the number 108 599 542, which digit is in the ten-millions place?

a)

1

b)

0

c)

8

d)

5

11.

In the number 1 586 189 752, which digit is in the hundred-millions place?

a)

5

b)

8

c)

6

d)

1

12.

In the number 3 856 147 852, which digit is in the hundred-thousands place?

a)

6

b)

1

c)

4

d)

7

13.

In the number 5 879 652 758, which digit is in the one-thousands place?

a)

2

b)

7

c)

5

d)

8

14.

In the number 3 896 748 223, which digit is in the one-billions place?

a)

3

b)

8

c)

9

d)

6

15.

In the number 2 758 951 154, which digit is in the one-hundreds place?

a)

1

b)

5

c)

9

d)

4

16.

In the number 7 856 578 452, which digit is in the ten-thousands place?

a)

7

b)

8

c)

4

d)

5

17.

In 8 545 121 848, the underlined digit is 5 in the thousands period. What is its place value?

a)

Ten-thousands

b)

Thousands

c)

Hundred-thousands

d)

Millions

18.

In 3 565 215 835, the underlined digit is 6 in the millions period. What is its place value?

a)

Hundred-millions

b)

Ten-millions

c)

Millions

d)

Ten-thousands

19.

In 3 455 458 489, the underlined digit is 4 in the thousands period. What is its place value?

a)

Hundred-thousands

b)

Ten-thousands

c)

Thousands

d)

Hundreds

20.

In 9 753 602 574, the underlined digit is 9 in the billions period. What is its place value?

a)

One-billions

b)

Ten-billions

c)

Hundred-billions

d)

Millions

21.

In 5 410 848 496, the underlined digit is 1 in the millions period. What is its place value?

a)

Hundred-millions

b)

Ten-millions

c)

Millions

d)

Ten-thousands

22.

Break down 5,158,322,457 into place values. How many millions does it contain? (Use the place value model: Billions | Millions | Thousands | Ones.)

a)

5 millions

b)

158 millions

c)

322 millions

d)

457 millions

23.

Break down 5,158,322,457 into place values. How many thousands does it contain? (Use the place value model: Billions | Millions | Thousands | Ones.)

a)

5 thousands

b)

158 thousands

c)

322 thousands

d)

457 thousands

24.

In the number 4,438,245,842, how many billions are there when expressed as Billions | Millions | Thousands | Ones?

a)

4 billions

b)

438 billions

c)

438 million billions

d)

44 billions

25.

In the number 4,438,245,842, how many millions are there when expressed as Billions | Millions | Thousands | Ones?

a)

38 millions

b)

438 millions

c)

245 millions

d)

842 millions

26.

In the number 4,438,245,842, how many thousands are there when expressed as Billions | Millions | Thousands | Ones?

a)

245 thousands

b)

842 thousands

c)

438 thousands

d)

4 thousands

27.

In the number 8,650,854,620, what is the count of millions in the Billions | Millions | Thousands | Ones breakdown?

a)

650 millions

b)

65 millions

c)

850 millions

d)

854 millions

28.

In the number 2,797,584,251, what is the count of thousands in the Billions | Millions | Thousands | Ones breakdown?

a)

584 thousands

b)

797 thousands

c)

251 thousands

d)

2 thousands

29.

In the number 2,571,945,328, how many millions are there in the Billions | Millions | Thousands | Ones model?

a)

571 millions

b)

57 millions

c)

571 thousand millions

d)

945 millions

30.

In the number 6,833,854,198, how many ones are there in the Billions | Millions | Thousands | Ones breakdown?

a)

198 ones

b)

854 ones

c)

6 ones

d)

833 ones

31.

In the number 8,052,050,187, what is the count of millions in the Billions | Millions | Thousands | Ones breakdown?

a)

52 millions

b)

520 millions

c)

5,205 millions

d)

50 millions

32.

In the number 4,478,756,054, what is the count of thousands in the Billions | Millions | Thousands | Ones breakdown?

a)

756 thousands

b)

478 thousands

c)

54 thousands

d)

4 thousands

33.

Relationship question: How many hundreds are in one thousand?

a)

10 hundreds

b)

100 hundreds

c)

1 hundred

d)

5 hundreds

34.

Which option shows the expanded form of 6,753,501,003?

a)

6,000,000,000 + 700,000,000 + 50,000,000 + 3,000,000 + 500,000 + 1,000 + 3

b)

6,700,000,000 + 50,000,000 + 3,000,000 + 500,000 + 1,000 + 3

c)

6,000,000,000 + 700,000,000 + 5,000,000 + 3,000,000 + 500,000 + 1,000 + 3

d)

6,700,000,000 + 53,000,000 + 500,000 + 1,000 + 3

35.

Choose the correct expanded form of 2,851,460,000.

a)

2,000,000,000 + 800,000,000 + 50,000,000 + 1,000,000 + 460,000

b)

2,000,000,000 + 800,000,000 + 50,000,000 + 1,000,000 + 400,000 + 60,000

c)

2,000,000,000 + 800,000,000 + 50,000,000 + 1,400,000 + 60,000

d)

2,800,000,000 + 50,000,000 + 1,000,000 + 460,000

36.

What is the expanded form of 9,128,700,000?

a)

9,000,000,000 + 100,000,000 + 20,000,000 + 8,000,000 + 700,000

b)

9,000,000,000 + 120,000,000 + 8,000,000 + 700,000

c)

9,000,000,000 + 128,000,000 + 700,000

d)

9,000,000,000 + 100,000,000 + 28,000,000 + 700,000

37.

Select the correct expanded form for 4,800,108,318.

a)

4,000,000,000 + 800,000,000 + 100,000 + 8,000 + 318

b)

4,000,000,000 + 800,000,000 + 100,000 + 8,000 + 300 + 18

c)

4,000,000,000 + 800,000,000 + 100,000 + 8,000 + 300 + 10 + 8

d)

4,000,000,000 + 800,000,000 + 108,000 + 318

38.

Which expanded form equals 3,150,427,205?

a)

3,000,000,000 + 100,000,000 + 50,000,000 + 400,000 + 27,000 + 205

b)

3,000,000,000 + 100,000,000 + 50,000,000 + 400,000 + 20,000 + 700 + 205

c)

3,000,000,000 + 150,000,000 + 427,000 + 205

d)

3,000,000,000 + 100,000,000 + 50,000,000 + 427,000 + 205

39.

Choose the expanded form that matches 5,104,705,550.

a)

5,000,000,000 + 100,000,000 + 4,000,000 + 700,000 + 5,000 + 550

b)

5,000,000,000 + 100,000,000 + 4,000,000 + 700,000 + 50,000 + 550

c)

5,000,000,000 + 104,000,000 + 705,000 + 550

d)

5,000,000,000 + 100,000,000 + 4,000,000 + 705,000 + 550

40.

What is the expanded form of 7,852,620,500?

a)

7,000,000,000 + 800,000,000 + 50,000,000 + 2,000,000 + 620,000 + 500

b)

7,000,000,000 + 800,000,000 + 52,000,000 + 620,000 + 500

c)

7,000,000,000 + 850,000,000 + 2,000,000 + 620,000 + 500

d)

7,852,000,000 + 620,000 + 500

41.

Which option is the expanded form of 5,586,900,084?

a)

5,000,000,000 + 500,000,000 + 80,000,000 + 6,000,000 + 900,000 + 84

b)

5,000,000,000 + 500,000,000 + 80,000,000 + 6,000,000 + 900,000 + 80 + 4

c)

5,000,000,000 + 580,000,000 + 6,000,000 + 900,000 + 80 + 4

d)

5,000,000,000 + 500,000,000 + 86,000,000 + 900,000 + 80 + 4

42.

Choose the expanded form that equals 7,842,000,541.

a)

7,000,000,000 + 800,000,000 + 40,000,000 + 2,000,000 + 541

b)

7,000,000,000 + 800,000,000 + 40,000,000 + 2,000,000 + 500 + 41

c)

7,000,000,000 + 800,000,000 + 42,000,000 + 541

d)

7,842,000,000 + 541

43.

Which standard form matches this expanded form: 5,000,000,000 + 800,000,000 + 40,000,000 + 100,000 + 20,000 + 3,000 + 400 + 50 + 6?

a)

5,840,123,456

b)

5,804,120,356

c)

5,840,103,456

d)

5,840,120,456

44.

Convert to standard form: 2,000,000,000 + 100,000,000 + 7,000,000 + 800,000 + 10,000 + 200 + 30 + 5.

a)

2,107,810,235

b)

2,100,780,235

c)

2,107,800,235

d)

2,107,820,035

45.

Which number is represented by 9,000,000,000 + 400,000,000 + 50,000,000 + 600,000 + 70,000 + 8,000 + 900 + 10 + 2?

a)

9,450,678,912

b)

9,450,608,912

c)

9,450,678,092

d)

9,405,678,912

46.

Find the standard form: 6,000,000,000 + 9,000,000 + 800,000 + 70,000 + 6,000 + 500 + 40 + 3.

a)

6,009,876,543

b)

6,009,806,543

c)

6,090,876,543

d)

6,009,870,543

47.

Write in standard form: 3,000,000,000 + 700,000,000 + 10,000,000 + 500,000 + 900 + 20 + 6.

a)

3,710,500,926

b)

3,700,510,926

c)

3,710,500,096

d)

3,705,010,926

48.

Convert to standard form: 7,000,000,000 + 100,000,000 + 20,000,000 + 400,000 + 50,000 + 6,000 + 700 + 80 + 9.

a)

7,120,456,789

b)

7,102,456,789

c)

7,120,406,789

d)

7,124,056,789

49.

What number is 1,000,000,000 + 200,000,000 + 30,000,000 + 400,000 + 50,000 + 3,000 + 500 + 80 + 2 in standard form?

a)

1,230,453,582

b)

1,230,403,582

c)

1,203,453,582

d)

1,230,453,852

50.

Choose the standard form: 8,000,000,000 + 300,000,000 + 10,000,000 + 500,000 + 900 + 30 + 5.

a)

8,310,500,935

b)

8,301,500,935

c)

8,310,050,935

d)

8,310,500,395

51.

Write in standard form: 5,000,000,000 + 20,000,000 + 300,000 + 30,000 + 5,000 + 800 + 90 + 4.

a)

5,020,335,894

b)

5,020,330,894

c)

5,200,330,894

d)

5,020,335,849

52.

Convert the following expanded form to standard form: 9,000,000,000 + 800,000,000 + 10,000,000 + 500,000 + 40,000 + 9,000 + 100 + 60 + 3.

a)

9,810,549,160,003

b)

9,810,549,160,063

c)

9,800,010,549,163

d)

9,810,540,169,003

53.

Which digit is in the millions place in the standard number 9,810,549,160,063?

a)

0

b)

1

c)

9

d)

8

54.

Which option shows the correct expanded form of 3 093 801 456 (using spaces to separate periods)?

a)

3,000,000,000 + 90,000,000 + 3,000,000 + 800,000 + 1,000 + 400 + 50 + 6

b)

3,000,000,000 + 90,000,000 + 900,000 + 80,000 + 1,000 + 400 + 50 + 6

c)

3,000,000,000 + 9,000,000 + 90,000 + 800,000 + 1,000 + 400 + 50 + 6

d)

3,000,000,000 + 90,000,000 + 3,000,000 + 80,000 + 1,000 + 400 + 50 + 6

55.

In the number 3 093 801 456, which place value is occupied by the digit 3 in the millions period (the second digit from the left)?

a)

Ten millions

b)

Hundred millions

c)

Millions

d)

Hundred thousands

56.

Choose the correct statement about the number 9,810,549,160,063.

a)

It has 9 billions and 810 millions.

b)

It has 9 billions and 18 millions.

c)

It has 98 billions and 105 millions.

d)

It has 9 billions and 81 millions.

57.

Which number is equal to the sum 800,000,000 + 40,000 + 60?

a)

800,040,060

b)

840,060,000

c)

800,000,460

d)

800,040,600

58.

Which expanded form matches the thousands period of 9,810,549,160,063?

a)

160,000 + 60 + 3

b)

160,000 + 63

c)

160,000 + 3

d)

160,063

59.

Which of the following correctly groups 3 093 801 456 into periods (billions, millions, thousands, ones)?

a)

3 | 093 | 801 | 456

b)

30 | 93 | 801 | 456

c)

3 | 9 | 380 | 1456

d)

3 | 0938 | 01 | 456

60.

Which expression correctly represents 5,000 using powers of 10?

a)

5×1025 \times 10^2

b)

5×1035 \times 10^3

c)

5×1045 \times 10^4

d)

5×1055 \times 10^5

61.

In the expression 5 × 10^3, what does the exponent 33 indicate?

a)

Multiply 5 by 3

b)

Add three to 5

c)

The number of zeros in 1,000

d)

Divide 5 by 3

62.

Rewrite 1,000 as a product using powers of 10.

a)

1×1021 \times 10^2

b)

1×1031 \times 10^3

c)

10×10210 \times 10^2

d)

1×1041 \times 10^{4}

63.

Rewrite 10,000 using powers of 10.

a)

1×1031 \times 10^3

b)

1×1041 \times 10^{4}

c)

10×10310 \times 10^3

d)

1×1051 \times 10^5

64.

Express 1,000,000 using powers of 10.

a)

1×1051 \times 10^5

b)

1 × 10^6

c)

10×10510 \times 10^5

d)

1×1071 \times 10^7

65.

Which expression correctly writes 10,000,000 using powers of 10?

a)

1 × 10^6

b)

1×1071 \times 10^7

c)

10×10610 \times 10^6

d)

1×1081 \times 10^8

66.

Which expression equals 100,000,000?

a)

1×1071 \times 10^7

b)

1 × 10^8

c)

10×10710 \times 10^7

d)

1×1091 \times 10^9

67.

Write 1,000,000,000 using powers of 10.

a)

1×1081 \times 10^8

b)

1×1091 \times 10^9

c)

10×10810 \times 10^8

d)

1×10101 \times 10^{10}

68.

Which expression uses a power of 10 to represent 300,000,000?

a)

3×1063 \times 10^6

b)

3×1073 \times 10^7

c)

3×1083 \times 10^8

d)

3×1093 \times 10^9

69.

Which expression equals 50,000,000?

a)

5×1065 \times 10^6

b)

5×1075 \times 10^7

c)

5×1085 \times 10^8

d)

5×1055 \times 10^5

70.

Which expression equals 7,000,000,000?

a)

7×1077 \times 10^7

b)

7×1087 \times 10^8

c)

7×1097 \times 10^9

d)

7×10107 \times 10^{10}

71.

Which statement best describes powers of 10?

a)

Each increase in the exponent removes one zero from a number

b)

Each power of 10 adds one zero to the base 1

c)

Powers of 10 change the base 10 into base 2

d)

Exponents only apply to fractions

72.

Which expression shows 6,753,501,003 written in expanded form using powers of 10?

a)

(6×109)+(7×108)+(5×107)+(3×106)+(5×105)+(1×103)+(3×100)(6 \times 10^9) + (7 \times 10^8) + (5 \times 10^7) + (3 \times 10^6) + (5 \times 10^5) + (1 \times 10^3) + (3 \times 10^0)

b)

(6×109)+(7×108)+(5×107)+(3×106)+(5×105)+(1×102)+(3×100)(6 \times 10^9) + (7 \times 10^8) + (5 \times 10^7) + (3 \times 10^6) + (5 \times 10^5) + (1 \times 10^2) + (3 \times 10^0)

c)

(6×108)+(7×109)+(5×107)+(3×106)+(5×105)+(1×103)+(3×100)(6 \times 10^8) + (7 \times 10^9) + (5 \times 10^7) + (3 \times 10^6) + (5 \times 10^5) + (1 \times 10^3) + (3 \times 10^0)

d)

(6×109)+(7×108)+(5×107)+(3×106)+(5×104)+(1×103)+(3×100)(6 \times 10^9) + (7 \times 10^8) + (5 \times 10^7) + (3 \times 10^6) + (5 \times 10^4) + (1 \times 10^3) + (3 \times 10^0)

73.

Select the correct expanded form with powers of 10 for 2,851,460,000.

a)

(2×109)+(8×108)+(5×107)+(1×106)+(4×105)+(6×104)(2 \times 10^9) + (8 \times 10^8) + (5 \times 10^7) + (1 \times 10^6) + (4 \times 10^5) + (6 \times 10^4)

b)

(2×109)+(8×108)+(5×107)+(1×106)+(4×105)+(6×103)(2 \times 10^9) + (8 \times 10^8) + (5 \times 10^7) + (1 \times 10^6) + (4 \times 10^5) + (6 \times 10^3)

c)

(2×108)+(8×109)+(5×107)+(1×106)+(4×105)+(6×104)(2 \times 10^8) + (8 \times 10^9) + (5 \times 10^7) + (1 \times 10^6) + (4 \times 10^5) + (6 \times 10^4)

d)

(2×109)+(8×108)+(5×106)+(1×107)+(4×105)+(6×104)(2 \times 10^9) + (8 \times 10^8) + (5 \times 10^6) + (1 \times 10^7) + (4 \times 10^5) + (6 \times 10^4)

74.

Choose the expression that equals 9,128,700,000 in expanded form with powers of 10.

a)

(9×109)+(1×108)+(2×107)+(8×106)+(7×105)(9 \times 10^9) + (1 \times 10^8) + (2 \times 10^7) + (8 \times 10^6) + (7 \times 10^5)

b)

(9×109)+(1×108)+(2×107)+(8×106)+(7×104)(9 \times 10^9) + (1 \times 10^8) + (2 \times 10^7) + (8 \times 10^6) + (7 \times 10^4)

c)

(9×108)+(1×109)+(2×107)+(8×106)+(7×105)(9 \times 10^8) + (1 \times 10^9) + (2 \times 10^7) + (8 \times 10^6) + (7 \times 10^5)

d)

(9×109)+(1×108)+(2×106)+(8×107)+(7×105)(9 \times 10^9) + (1 \times 10^8) + (2 \times 10^6) + (8 \times 10^7) + (7 \times 10^5)

75.

Which expanded form matches 4,800,108,318?

a)

(4×109)+(8×108)+(1×106)+(8×105)+(3×103)+(1×102)+(8×101)(4 \times 10^9) + (8 \times 10^8) + (1 \times 10^6) + (8 \times 10^5) + (3 \times 10^3) + (1 \times 10^2) + (8 \times 10^1)

b)

(4×109)+(8×108)+(1×106)+(8×105)+(3×103)+(1×101)+(8×100)(4 \times 10^9) + (8 \times 10^8) + (1 \times 10^6) + (8 \times 10^5) + (3 \times 10^3) + (1 \times 10^1) + (8 \times 10^0)

c)

(4×109)+(8×108)+(1×107)+(8×105)+(3×103)+(1×102)+(8×101)(4 \times 10^9) + (8 \times 10^8) + (1 \times 10^7) + (8 \times 10^5) + (3 \times 10^3) + (1 \times 10^2) + (8 \times 10^1)

d)

(4×108)+(8×109)+(1×106)+(8×105)+(3×103)+(1×102)+(8×101)(4 \times 10^8) + (8 \times 10^9) + (1 \times 10^6) + (8 \times 10^5) + (3 \times 10^3) + (1 \times 10^2) + (8 \times 10^1)

76.

Identify the correct expanded form for 3,150,427,205.

a)

(3×109)+(1×108)+(5×107)+(0×106)+(4×105)+(2×104)+(7×103)+(2×102)+(0×101)+(5×100)(3 \times 10^9) + (1 \times 10^8) + (5 \times 10^7) + (0 \times 10^6) + (4 \times 10^5) + (2 \times 10^4) + (7 \times 10^3) + (2 \times 10^2) + (0 \times 10^1) + (5 \times 10^0)

b)

(3×109)+(1×108)+(5×107)+(4×106)+(2×105)+(7×104)+(2×103)+(0×102)+(5×100)(3 \times 10^9) + (1 \times 10^8) + (5 \times 10^7) + (4 \times 10^6) + (2 \times 10^5) + (7 \times 10^4) + (2 \times 10^3) + (0 \times 10^2) + (5 \times 10^0)

c)

(3×109)+(1×108)+(5×107)+(4×105)+(2×104)+(7×103)+(2×102)+(0×101)+(5×100)(3 \times 10^9) + (1 \times 10^8) + (5 \times 10^7) + (4 \times 10^5) + (2 \times 10^4) + (7 \times 10^3) + (2 \times 10^2) + (0 \times 10^1) + (5 \times 10^0)

d)

(3×109)+(1×107)+(5×108)+(4×105)+(2×104)+(7×103)+(2×102)+(0×101)+(5×100)(3 \times 10^9) + (1 \times 10^7) + (5 \times 10^8) + (4 \times 10^5) + (2 \times 10^4) + (7 \times 10^3) + (2 \times 10^2) + (0 \times 10^1) + (5 \times 10^0)

77.

Which expression equals 5,104,705,550 in powers-of-10 expanded form?

a)

(5×109)+(1×108)+(0×107)+(4×106)+(7×105)+(0×104)+(5×103)+(5×102)+(5×101)+(0×100)(5 \times 10^9) + (1 \times 10^8) + (0 \times 10^7) + (4 \times 10^6) + (7 \times 10^5) + (0 \times 10^4) + (5 \times 10^3) + (5 \times 10^2) + (5 \times 10^1) + (0 \times 10^0)

b)

(5×109)+(1×108)+(0×107)+(4×106)+(7×105)+(5×104)+(5×103)+(5×102)+(0×101)(5 \times 10^9) + (1 \times 10^8) + (0 \times 10^7) + (4 \times 10^6) + (7 \times 10^5) + (5 \times 10^4) + (5 \times 10^3) + (5 \times 10^2) + (0 \times 10^1)

c)

(5×109)+(1×108)+(4×107)+(0×106)+(7×105)+(5×103)+(5×102)+(5×101)(5 \times 10^9) + (1 \times 10^8) + (4 \times 10^7) + (0 \times 10^6) + (7 \times 10^5) + (5 \times 10^3) + (5 \times 10^2) + (5 \times 10^1)

d)

(5×108)+(1×109)+(0×107)+(4×106)+(7×105)+(0×104)+(5×103)+(5×102)+(5×101)(5 \times 10^8) + (1 \times 10^9) + (0 \times 10^7) + (4 \times 10^6) + (7 \times 10^5) + (0 \times 10^4) + (5 \times 10^3) + (5 \times 10^2) + (5 \times 10^1)

78.

Pick the correct expanded form for 7,852,620,500.

a)

(7 \times 10^9) + (8 \times 10^8) + (5 \times 10^7) + (2 \times 10^6) + (6 \times 10^5) + (2 \times 10^4) + (5 \times 10^2)

b)

(7×109)+(8×108)+(5×107)+(2×106)+(6×105)+(2×103)+(5×102)(7 \times 10^9) + (8 \times 10^8) + (5 \times 10^7) + (2 \times 10^6) + (6 \times 10^5) + (2 \times 10^3) + (5 \times 10^2)

c)

(7×109)+(8×108)+(5×106)+(2×107)+(6×105)+(2×104)+(5×102)(7 \times 10^9) + (8 \times 10^8) + (5 \times 10^6) + (2 \times 10^7) + (6 \times 10^5) + (2 \times 10^4) + (5 \times 10^2)

d)

(7×108)+(8×109)+(5×107)+(2×106)+(6×105)+(2×104)+(5×102)(7 \times 10^8) + (8 \times 10^9) + (5 \times 10^7) + (2 \times 10^6) + (6 \times 10^5) + (2 \times 10^4) + (5 \times 10^2)

79.

Select the correct expanded expression for 5,586,900,084.

a)

(5×109)+(5×108)+(8×107)+(6×106)+(9×105)+(0×104)+(0×103)+(8×102)+(4×100)(5 \times 10^9) + (5 \times 10^8) + (8 \times 10^7) + (6 \times 10^6) + (9 \times 10^5) + (0 \times 10^4) + (0 \times 10^3) + (8 \times 10^2) + (4 \times 10^0)

b)

(5×109)+(5×108)+(8×107)+(6×106)+(9×105)+(0×104)+(0×103)+(8×101)+(4×100)(5 \times 10^9) + (5 \times 10^8) + (8 \times 10^7) + (6 \times 10^6) + (9 \times 10^5) + (0 \times 10^4) + (0 \times 10^3) + (8 \times 10^1) + (4 \times 10^0)

c)

(5×109)+(5×108)+(8×107)+(6×106)+(9×104)+(0×103)+(8×102)+(4×100)(5 \times 10^9) + (5 \times 10^8) + (8 \times 10^7) + (6 \times 10^6) + (9 \times 10^4) + (0 \times 10^3) + (8 \times 10^2) + (4 \times 10^0)

d)

(5×109)+(5×108)+(8×107)+(6×105)+(9×106)+(8×102)+(4×100)(5 \times 10^9) + (5 \times 10^8) + (8 \times 10^7) + (6 \times 10^5) + (9 \times 10^6) + (8 \times 10^2) + (4 \times 10^0)

80.

Which expression equals 7,842,000,541 in expanded form?

a)

(7×109)+(8×108)+(4×107)+(2×106)+(5×103)+(4×102)+(1×100)(7 \times 10^9) + (8 \times 10^8) + (4 \times 10^7) + (2 \times 10^6) + (5 \times 10^3) + (4 \times 10^2) + (1 \times 10^0)

b)

(7×109)+(8×108)+(4×107)+(2×106)+(5×104)+(4×102)+(1×100)(7 \times 10^9) + (8 \times 10^8) + (4 \times 10^7) + (2 \times 10^6) + (5 \times 10^4) + (4 \times 10^2) + (1 \times 10^0)

c)

(7×109)+(8×108)+(4×106)+(2×107)+(5×103)+(4×102)+(1×100)(7 \times 10^9) + (8 \times 10^8) + (4 \times 10^6) + (2 \times 10^7) + (5 \times 10^3) + (4 \times 10^2) + (1 \times 10^0)

d)

(7×108)+(8×109)+(4×107)+(2×106)+(5×103)+(4×102)+(1×100)(7 \times 10^8) + (8 \times 10^9) + (4 \times 10^7) + (2 \times 10^6) + (5 \times 10^3) + (4 \times 10^2) + (1 \times 10^0)

81.

Convert the expanded form (3×109)+(5×108)+(7×107)+(2×106)+(1×105)+(3×103)+(6×100)(3 \times 10^9) + (5 \times 10^8) + (7 \times 10^7) + (2 \times 10^6) + (1 \times 10^5) + (3 \times 10^3) + (6 \times 10^0) to standard form.

a)

3,572,103,006

b)

3,752,103,006

c)

3,572,130,006

d)

3,572,103,060

82.

Which standard form matches (2×105)+(4×104)+(3×103)+(7×102)+(9×101)+(1×100)(2 \times 10^5) + (4 \times 10^4) + (3 \times 10^3) + (7 \times 10^2) + (9 \times 10^1) + (1 \times 10^0) ?

a)

243,791

b)

243,719

c)

243,971

d)

204,379

83.

What number is represented by (5×107)+(4×106)+(2×105)+(1×104)+(7×103)+(6×102)+(3×100)(5 \times 10^7) + (4 \times 10^6) + (2 \times 10^5) + (1 \times 10^4) + (7 \times 10^3) + (6 \times 10^2) + (3 \times 10^0) ?

a)

54,217,763

b)

54,216,730

c)

54,217,603

d)

54,276,130

84.

Choose the standard form of (7×108)+(4×107)+(2×106)+(8×104)+(9×103)+(4×101)(7 \times 10^8) + (4 \times 10^7) + (2 \times 10^6) + (8 \times 10^4) + (9 \times 10^3) + (4 \times 10^1) .

a)

742,089,040

b)

704,289,040

c)

740,289,490

d)

742,098,040

85.

Select the correct standard form for (9×109)+(6×108)+(7×107)+(5×106)+(2×105)+(1×105)+(1×103)(9 \times 10^9) + (6 \times 10^8) + (7 \times 10^7) + (5 \times 10^6) + (2 \times 10^5) + (1 \times 10^5) + (1 \times 10^3) .

a)

9,675,211,000

b)

9,675,251,100

c)

9,671,525,100

d)

9,675,201,300

86.

Convert (7×109)+(6×108)+(2×107)+(4×106)+(5×105)+(8×103)+(4×101)(7 \times 10^9) + (6 \times 10^8) + (2 \times 10^7) + (4 \times 10^6) + (5 \times 10^5) + (8 \times 10^3) + (4 \times 10^1) to standard form.

a)

7,624,580,840

b)

7,624,508,040

c)

7,620,458,084

d)

7,462,458,040

87.

Which number is (4×109)+(3×107)+(7×106)+(7×105)+(1×104)+(6×102)+(6×100)(4 \times 10^9) + (3 \times 10^7) + (7 \times 10^6) + (7 \times 10^5) + (1 \times 10^4) + (6 \times 10^2) + (6 \times 10^0) ?

a)

4,337,710,166

b)

4,037,716,060

c)

4,377,110,066

d)

4,307,716,166

88.

Find the standard form of (3×109)+(5×108)+(7×107)+(1×106)+(2×105)+(9×104)+(7×101)+(7×100)(3 \times 10^9) + (5 \times 10^8) + (7 \times 10^7) + (1 \times 10^6) + (2 \times 10^5) + (9 \times 10^4) + (7 \times 10^1) + (7 \times 10^0) .

a)

3,571,290,077

b)

3,571,290,770

c)

3,517,290,077

d)

3,571,029,077

89.

Determine the number for (5×109)+(3×108)+(8×106)+(9×104)+(5×103)+(2×102)+(3×100)(5 \times 10^9) + (3 \times 10^8) + (8 \times 10^6) + (9 \times 10^4) + (5 \times 10^3) + (2 \times 10^2) + (3 \times 10^0) .

a)

5,308,095,223

b)

5,338,009,523

c)

5,308,095,203

d)

5,300,809,523

90.

Translate (3×109)+(6×108)+(1×107)+(4×106)+(1×104)+(3×103)+(4×101)(3 \times 10^9) + (6 \times 10^8) + (1 \times 10^7) + (4 \times 10^6) + (1 \times 10^4) + (3 \times 10^3) + (4 \times 10^1) to standard form.

a)

3,614,014,340

b)

3,641,004,340

c)

3,614,103,440

d)

3,601,414,034

91.

Which standard form corresponds to (3×109)+(6×108)+(1×107)+(4×106)+(1×104)+(3×103)+(4×101)(3 \times 10^9) + (6 \times 10^8) + (1 \times 10^7) + (4 \times 10^6) + (1 \times 10^4) + (3 \times 10^3) + (4 \times 10^1) ?

a)

3,641,004,340

b)

3,614,004,340

c)

3,641,040,034

d)

3,640,104,340

92.

Convert (3×109)+(6×108)+(1×107)+(4×106)+(1×104)+(3×103)+(4×101)(3 \times 10^9) + (6 \times 10^8) + (1 \times 10^7) + (4 \times 10^6) + (1 \times 10^4) + (3 \times 10^3) + (4 \times 10^1) to standard form, then choose the correct place-value statement: the digit 6 represents which value?

a)

6×1086 \times 10^8

b)

6×1076 \times 10^7

c)

6×1066 \times 10^6

d)

6×1056 \times 10^5

93.

Which expanded-form principle is true for writing 2,851,460,000?

a)

Zeros in the thousands and below mean the terms for 10310^3 , 10210^2 , 10110^1 , and 10010^0 are 0.

b)

A zero digit eliminates all higher place values.

c)

A zero in the millions place is impossible when the billions digit is nonzero.

d)

The 10^4 term must always be present and nonzero.

94.

Convert the written number to standard form: "Seven hundred eighty-six million, six hundred thirty-two thousand, two hundred fifty-eight."

a)

786,632,258

b)

786,623,258

c)

786,632,528

d)

768,632,258

95.

Convert the written number to standard form: "Nine hundred twenty-five million, seven hundred sixty-three thousand, three hundred twelve."

a)

925,763,312

b)

925,736,312

c)

952,763,312

d)

925,763,132

96.

Convert the written number to standard form: "Eighty-two million, six hundred seventy-two thousand, nine hundred eleven."

a)

82,672,911

b)

82,627,911

c)

82,762,911

d)

82,672,119

97.

Convert the written number to standard form: "Six-hundred twenty-one million, eight hundred thirty-two thousand, one hundred thirty-nine."

a)

621,832,139

b)

612,832,139

c)

621,823,139

d)

621,382,139

98.

Convert the written number to standard form: "Four hundred seventy-three million, five hundred eighty thousand, one hundred ninety-nine."

a)

473,580,199

b)

473,508,199

c)

437,580,199

d)

473,580,919

99.

Convert the written number to standard form: "Five hundred forty-nine million, three hundred twelve thousand, one hundred sixty-two."

a)

549,312,162

b)

549,132,162

c)

594,312,162

d)

549,321,162

100.

Write the number name for 134,345,142.

a)

One hundred thirty-four million, three hundred forty-five thousand, one hundred forty-two

b)

One hundred thirty-four million, three hundred forty-five thousand, one hundred twenty-four

c)

One hundred thirty-four million, three hundred fifty-four thousand, one hundred forty-two

d)

One hundred thirty-four thousand, three hundred forty-five million, one hundred forty-two

101.

Write the number name for 412,527,351.

a)

Four hundred twelve million, five hundred twenty-seven thousand, three hundred fifty-one

b)

Four hundred twenty-one million, five hundred twenty-seven thousand, three hundred fifty-one

c)

Four hundred twelve million, five hundred seventy-two thousand, three hundred fifty-one

d)

Four hundred twelve million, five hundred twenty-seven thousand, three hundred fifteen

102.

Write the number name for 645,512,257.

a)

Six hundred forty-five million, five hundred twelve thousand, two hundred fifty-seven

b)

Six hundred forty-five thousand, five hundred twelve million, two hundred fifty-seven

c)

Six hundred forty-five million, five hundred twenty-one thousand, two hundred fifty-seven

d)

Six hundred fifty-four million, five hundred twelve thousand, two hundred fifty-seven

103.

Write the number name for 274,464,495.

a)

Two hundred seventy-four million, four hundred sixty-four thousand, four hundred ninety-five

b)

Two hundred seventy-four million, four hundred sixty-four thousand, four hundred fifty-nine

c)

Two hundred seventy-four thousand, four hundred sixty-four million, four hundred ninety-five

d)

Two hundred seventy-four million, four hundred forty-six thousand, four hundred ninety-five

104.

According to the objective, what skill will students practice in this activity?

a)

Converting numbers between expanded, written, and standard forms

b)

Solving multi-step equations using variables

c)

Graphing linear functions on coordinate planes

d)

Finding surface area of three-dimensional figures

105.

Which material is specifically listed as part of the activity setup?

a)

24 task cards

b)

Graphing calculators

c)

Protractors

d)

Colored markers

106.

What is the first step in the instructions for completing the activity?

a)

Explain the concept of place value and how numbers are constructed in standard form

b)

Organize students into pairs and distribute task cards

c)

Give each pair an answer recording sheet

d)

Encourage teamwork for finding solutions

107.

How are students grouped to work on the task cards?

a)

In pairs

b)

Individually

c)

In groups of four

d)

As a whole class

108.

What should each pair receive to note down their responses?

a)

An answer recording sheet

b)

A calculator

c)

A rubric for grading

d)

A place value chart poster

109.

What collaboration strategy is encouraged during the activity?

a)

Students collaborate with their partner on finding solutions

b)

Students work silently without discussion

c)

Students compete individually for speed

d)

Students rotate partners every five minutes

110.

What choice do students have regarding the order of task cards?

a)

They may complete the cards in any order they prefer

b)

They must complete the cards sequentially from 1 to 24

c)

They should start with the hardest card first

d)

They must follow the order selected by the instructor

111.

How should students record their selected answer for each task card?

a)

Write the letter (A, B, or C) beside the task card's number on the answer sheet

b)

Circle the entire question on the task card

c)

Write a full sentence explaining their choice

d)

Highlight the correct option on the task card

112.

What optional tool can be used to create a dynamic challenge during the activity?

a)

A timer

b)

A graphing calculator

c)

A protractor

d)

A whiteboard compass

113.

What happens after the activity according to the instructions?

a)

Review answers collectively and discuss challenging patterns and strategies

b)

Collect all materials and dismiss the class immediately

c)

Assign unrelated homework

d)

Grade only the fastest pairs

114.

What reflective practice is recommended at the end of the activity?

a)

Students share methods they applied and obstacles they overcame

b)

Students memorize the answers for future tests

c)

Students compare their scores without discussion

d)

Students write a summary of a different math topic

115.

Which forms of number representation are emphasized in the objective?

a)

Expanded form, written form, and standard form

b)

Scientific notation, exponential form, and radical form

c)

Binary, hexadecimal, and octal

d)

Fraction, decimal, and percent only

116.

Which item is NOT listed under materials?

a)

Pencils

b)

Separate sheets of paper for answers

c)

24 task cards

d)

Calculators

117.

What is the primary mathematical concept highlighted at the start of the instructions?

a)

Place value

b)

Slope and intercepts

c)

Pythagorean theorem

d)

Probability

118.

What do students record on the answer sheet?

a)

The letter of their chosen answer (A, B, or C) beside the task card's number

b)

Only the task card number without an answer

c)

A paragraph explaining their reasoning for each card

d)

The time taken to solve each card

119.

Which action supports teamwork during the activity?

a)

Collaborate with a partner on finding solutions

b)

Work alone to avoid distractions

c)

Report only to the instructor

d)

Switch partners for every card

120.

What is one way to adjust the activity’s challenge level?

a)

Change the duration using a timer

b)

Alter the number of digits allowed in answers

c)

Use more colors on the task cards

d)

Limit students to written form only

121.

Which statement best describes the flexibility of task card selection?

a)

Students can begin with any task card and proceed in any order

b)

Students must start with card 1 and proceed to card 24

c)

Students should pick the middle card first, then the last

d)

Students are assigned specific cards without choice

122.

What is the focus of the post-activity discussion?

a)

Challenging patterns and strategies used to solve the task cards

b)

New topics unrelated to the activity

c)

Grading policies for the course

d)

Only errors without discussing methods

123.

Which phrase from the instructions defines the letters used for answers?

a)

A, B, or C

b)

X, Y, or Z

c)

True or False

d)

Yes or No

124.

What specific classroom supply is needed for students to write their answers?

a)

Separate sheets of paper

b)

Compasses

c)

Rulers

d)

Sticky notes

125.

What key action occurs at the very beginning of the activity?

a)

Explaining place value and standard form construction

b)

Collecting pencils

c)

Timing each pair

d)

Assigning grades

126.

Which representation is NOT mentioned in the objective?

a)

Written form

b)

Expanded form

c)

Standard form

d)

Scientific notation

127.

What are students asked to do after reviewing answers collectively?

a)

Reflect on methods applied and obstacles overcome

b)

Start a new unrelated activity

c)

Turn in calculators

d)

Erase all work from their papers

128.

What is the total number of task cards listed under materials?

a)

24

b)

12

c)

30

d)

48

129.

Which instruction describes how students should annotate their answer sheet?

a)

Record the letter of the chosen answer beside the task card's number

b)

Underline the entire question

c)

Write the full expanded form explanation for each

d)

Draw a place value chart next to each

130.

When using a timer, what should be considered according to the instructions?

a)

Adjust duration to fit the lesson's objectives and complexity

b)

Use the shortest time possible for all classes

c)

Set a fixed time regardless of difficulty

d)

Avoid timers to reduce stress

131.

What type of forms do students convert between in this activity?

a)

Expanded, written, and standard

b)

Exponential, radical, and logarithmic

c)

Binary, decimal, and hexadecimal

d)

Fraction, percent, and ratio

132.

Which of the following best captures the aim of the activity?

a)

Practice converting numbers across multiple forms using place value understanding

b)

Memorize a list of mathematical formulas

c)

Perform geometric constructions with a compass

d)

Learn historical facts about mathematicians

133.

Which step promotes student autonomy in the activity?

a)

Allowing students to select any task card and complete them in any order

b)

Assigning strict card order with no deviations

c)

Prohibiting discussion between partners

d)

Limiting the number of cards to only five

134.

What does the activity encourage at the end besides reviewing answers?

a)

Student reflection on methods and obstacles

b)

Silent cleanup without discussion

c)

Immediate transition to homework

d)

Peer grading only

135.

Which phrase accurately summarizes the materials list?

a)

24 task cards, separate sheets of paper, pencils

b)

24 calculators, rulers, pens

c)

Place value charts, markers, erasers

d)

Computers, headphones, notebooks

136.

What key mathematical idea is central to the activity's objective?

a)

Place value

b)

Triangle congruence

c)

Set theory

d)

Matrix multiplication

137.

What are students expected to do during the review of answers?

a)

Discuss challenging patterns and strategies used

b)

Only tally correct answers without discussion

c)

Erase incorrect responses

d)

Rewrite each question

138.

Which of the following is part of the setup before students start the cards?

a)

Organize students into pairs and provide sets of task cards

b)

Assign seats alphabetically and distribute calculators

c)

Draw graphs on the board

d)

Review vocabulary unrelated to numbers

139.

What is the recommended format for recording answers on the sheet?

a)

Letter A, B, or C next to each task card number

b)

Circling correct answer on the card itself only

c)

Writing full sentence explanations

d)

Using check marks without letters

140.

Which is the last step mentioned in the instructions?

a)

Have students reflect on the activity

b)

Collect pencils

c)

Assign homework

d)

Return textbooks

141.

Which component of number representation is NOT part of the activity objective?

a)

Standard form

b)

Expanded form

c)

Written form

d)

Scientific notation

142.

What type of collaboration is promoted?

a)

Partner collaboration

b)

Large group debate

c)

Individual-only work

d)

Online discussion forum

143.

Which step directly precedes using a timer?

a)

Record the letter of the chosen answer on the answer sheet

b)

Review answers collectively

c)

Allow students to select any task card

d)

Encourage teamwork

144.

Which item in materials ensures students can write their responses?

a)

Pencils

b)

Compasses

c)

Calculators

d)

Markers

145.

What is one benefit of completing task cards in any order?

a)

Students can choose cards that match their readiness and interest

b)

It guarantees faster completion time for everyone

c)

It limits collaboration with partners

d)

It removes the need for an answer sheet

146.

Which phrase indicates how to mark answers for each card?

a)

Record A, B, or C beside the card number

b)

Underline the question title

c)

Write a star next to correct options

d)

Attach a sticky note to each card

147.

What should the timer’s duration be aligned with?

a)

Lesson objectives and complexity

b)

Classroom seating arrangement

c)

Number of pencils available

d)

Students’ birthdays

148.

What does the collective review aim to highlight?

a)

Challenging patterns and strategies

b)

Attendance issues

c)

Homework policies

d)

Classroom rules

149.

What reflective question might students answer at the end?

a)

Which methods helped you solve the task cards?

b)

What is your favorite color?

c)

Which historical figure do you admire?

d)

What is the capital of France?

150.

Which representation requires understanding place values for digits like ones, tens, and hundreds?

a)

Standard form

b)

Graphical form

c)

Inequality form

d)

Vector form