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Math 6 Q3 Integers and Exponents

Total questions: 96

Worksheet time: 2hrs 24mins

Name
Class
Date
1.
-10+4
a)
-14
b)
14
c)
-6
d)
6
2.
-12 + 9
a)
21
b)
3
c)
-3
d)
-21
3.
 18 - (-4)
a)
-22
b)
4
c)
22
d)
-4
4.
-2 + 10
a)
8
b)
-8
c)
12
d)
-12
5.
8 - 12
a)
4
b)
-4
c)
-6
d)
-8
6.
- 2 + - 9
a)
-11
b)
11
c)
-7
d)
7
7.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
8.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
9.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

10.

4 - (-9)

a)

5

b)

-13

c)

13

d)

-5

11.
(-2)(-5)
a)
10
b)
-10
c)
7
d)
-7
12.
John had a balance of $22 in his bank account.  He wrote a check for $38.  What is his new balance?
a)
$16
b)
-$16
c)
$60
d)
-$60
13.
5 - 8 =
a)
13
b)
3
c)
-3
d)
-13
14.
30 + (-11) = 
a)
41
b)
19
c)
-41
d)
-19
15.
The record high temperature in January was 18 degrees.  The record low temperature was - 7 degrees.  What is the difference between the high and low temperatures?
a)
25 degrees
b)
11 degrees
c)
6 degrees
d)
- 11 degrees
16.
14 - (- 6) = 
a)
-8
b)
8
c)
-20
d)
20
17.
How would you  write the following using numbers instead of zero pairs? 
 
 -  -  -  - 
 + + + + +
a)
-4 + 5
b)
4+ 5
c)
-5 - 4
d)
-4 - 5
18.
-8 + -5 + 4 =
a)
-9
b)
17
c)
9
d)
7
19.
The band had a fundraiser to earn money for new instruments.  They spent $60 on supplies.  They earned $525.  What was the team's profit?  
a)
$60
b)
$525
c)
$585
d)
$465
20.
-3 - (-40) = 
a)
-43
b)
43
c)
37
d)
-37
21.
11 + -11 + 360 = 
a)
22
b)
-360
c)
382
d)
360
22.

4 + (-5) =

a)

9

b)

-9

c)

1

d)

-1

23.

15 - 10 =

a)

25

b)

5

c)

-5

d)

-25

24.

-15 + 8

a)

-7

b)

-6

c)

-5

d)

-8

25.

-7 + - 3 =

a)

10

b)

-4

c)

4

d)

-10

26.

10 - (-7) =

a)

3

b)

7

c)

17

d)

-17

27.

-5 - (-2) = [Hint: remember that two negatives in a row = a positive]

a)

-3

b)

-2

c)

-1

d)

-7

28.

-9 + -1 =

a)

-10

b)

1

c)

2

d)

10

29.

5 - 8 =

a)

3

b)

13

c)

-3

d)

-13

30.

6 - (-1) =

a)

7

b)

5

c)

-7

d)

4

31.
Simplify 100
a)
10
b)
1
c)
0
d)
100
32.
In 2what is the base?
a)
2
b)
3
c)
23
33.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
a)
75
b)
76
c)
67
d)
77
34.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
35.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
36.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
37.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
38.
25 is the same as 2 x 5.
a)
True
b)
False
39.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
40.
Which number is the VALUE?
2
a)
2
b)
4
c)
16
41.

1) What is the standard form of (8 x102) + (3 x 102) + (4x10)

a)

1 140

b)

11 400

c)

10 400

42.

2) What is the standard form of (9 x107) + (8 x 104)

a)

9 080 000

b)

90 080 000

c)

90 800 000

43.

3) What is the simplified exponential form of 25 x 23 ?

a)

28

b)

22

c)

48

44.

4) What is the standard form of 25 x 23 ?

a)

625

b)

2 560

c)

256

45.

5) What is the standard form of 110 x 13 ?

a)

1

b)

130

c)

13

46.

6) What is the exponential form of 7 x 7 x 3 x 3 x 3 x 3 ?

a)

27 x 34

b)

27 x 43

c)

72 x 34

47.

7) What is the exponential form of 2 x 2 x 2 x 5 x 5 ?

a)

23 x 52

b)

22 x 25

c)

32 x 25

48.

8) What is the standard form of  95 ÷939^5\ \div9^3  ?

a)

43 046 721

b)

729

c)

81

49.

9) What is the standard form of  34 ÷343^4\ \div3^4  ?

a)

3

b)

1

c)

8

50.

1 What is the standard form of  (23 x 22) ÷(22 x 22)\left(2^3\ x\ 2^2\right)\ \div\left(2^2\ x\ 2^2\right)  ?

a)

1

b)

2

c)

3

51.

11 What is the standard form of  (78 ÷74) X (710 ÷ 78)\left(7^8\ \div7^4\right)\ X\ \left(7^{10}\ \div\ 7^8\right)  ?

a)

117 649

b)

1 687

c)

16 708

52.

It is the number that is being multiplied repeatedly by itself.

a)

Base

b)

Exponent

c)

Exponential Notation

d)

Expanded Form

53.

It tells how many times the base will be multiplied by itself.

a)

Base

b)

Exponent

c)

Exponential Notation

d)

Expanded Form

54.

What is the exponential notation of 5 x 5 x 5 x 5 ?

a)

53

b)

54

c)

55

d)

56

55.

What is the value of 122 ?

a)

24

b)

120

c)

14

d)

144

56.

Which of the following is the same as "nine to the third power" ?

a)

9 + 3

b)

9 x 3

c)

93

d)

9 + 9 + 9

57.

What would the exponent be for:


4 x 4 x 4 x 4 x 4 ?

a)

4

b)

5

c)

1,024

d)

20

58.

32 = ?


Sarah says the answer is 9, and Jack says the answer is 6. Which student is correct?

a)

Sarah, because 3 times 3 is 9.

b)

Jack, because 3 times 2 is 6.

c)

Neither of them are correct.

d)

Both Jack and Sarah are correct. This problem could have 2 correct answers.

59.

.

Which is equivalent to 24?

a)

8

b)

20

c)

16

d)

12

60.

In equation of 42 = 16, which number is the EXPONENT?

a)

4

b)

2

c)

16

d)

None of the above

61.

What is the value of 92 ?

a)

18

b)

9

c)

72

d)

81

62.

Which of the following is the same as

7×7×7×77\times7\times7\times7   

a)

474^7  

b)

444^4  

c)

777^7  

d)

747^4  

63.

"3 cubed" would be equal to which of the following?

a)

9

b)

27

c)

6

d)

12

64.

How do you write "8 squared" using exponential notation?

a)

828^2  

b)

838^3  

c)

383^8  

d)

8×28\times2  

65.

Write "eight cubed" in exponential notation.

a)

828^2  

b)

838^3  

c)

383^8  

d)

8×38\times3  

66.

Write 24×332^4\times3^3  in expanded form:

a)

4×4×3×3×34\times4\times3\times3\times3  

b)

2×4×3×3×32\times4\times3\times3\times3  

c)

2×2×2×2×3×3×32\times2\times2\times2\times3\times3\times3  

d)

8×98\times9  

67.

What is the value of 10510^5  

a)

1,000,0001,000,000  

b)

100,000,000100,000,000  

c)

100,000100,000  

d)

10,000,000,00010,000,000,000  

68.

The beach trail is 10310^3  miles long. Which of the following represents the distance in standard notation?

a)

30 miles30\ miles  

b)

100 miles100\ miles  

c)

1,000 miles1,000\ miles  

d)

3,000 miles3,000\ miles  

69.

Which expression represents the phrase "x squared times y to the seventh power"?

a)

x2×y7x^2\times y^7  

b)

(x×y)14\left(x\times y\right)^{14}  

c)

x7×y2x^7\times y^2  

d)

2x×7y2x\times7y  

70.

How would I express "25" using exponential notation with a base of 5?

a)

5255^{25}  

b)

51255^{125}  

c)

535^3  

d)

525^2  

71.

Danielle put 626^2  cans onto each of the 7 shelves at the grocery store. How many cans did she place on the shelves altogether?

a)

252 cans

b)

192 cans

c)

180 cans

d)

288 cans

72.

Evaluate using order of operations: 89÷3×2+78-9\div3\times2+7  

a)

4

b)

5

c)

9

d)

10

73.

Evaluate using order of operations: 4215÷3+(125)4^2-15\div3+\left(12-5\right)  

a)

18

b)

8

c)

4

d)

3

74.

What would you do first in the following problem?

8(54)+948\left(5-4\right)+9-4  

a)

8×58\times5  

b)

949-4  

c)

4+94+9  

d)

545-4  

75.

What is the value of 2560256^0  

a)

256

b)

25×625\times6  

c)

1

d)

0

76.

Look at the expression below:

232^3  

a)

2 is the exponent and 3 is the base

b)

3 is the exponent and 2 is the base

c)

6

d)

9

77.

-10 x 4 =

a)

-40

b)

40

c)

400

d)

-32

78.

6(-6)=

a)

-36

b)

-24

c)

24

d)

36

79.

(5)(-1)(4)

a)

-20

b)

20

c)

10

d)

-9

80.
(-7)(-7)
a)
14
b)
-14
c)
49
d)
-49
81.

Divide

12÷4=-12\div-4=  

a)

3

b)

-3

82.

Divide

24÷4=24\div-4=  

a)

6

b)

-6

83.

Divide

8÷2=-8\div2=_{ }  

a)

-4

b)

4

84.

Divide.

 62 =\frac{\ 6}{-2}\ =  

a)

-3

b)

3

85.

Divide.

2010=\frac{-20}{-10}=  

a)

2

b)

-2

86.

Divide.

93=\frac{-9}{-3}=  

a)

3

b)

-3

87.

If

5×5=25-5\times5=-25  , then what is  25÷5=?-25\div-5=?  

a)

5

b)

-5

88.

If  7×4=28-7\times-4=28 , then what is  28÷4=?28\div-4=?  

a)

7

b)

-7

89.

What is (255)/(-15)?

(a)  

90.

What is (-9)(-8)(-20)?

(a)  

91.

What is (-3520)/(110)

(a)  

92.

52122(5+12)(512)\frac{5^2-12^2}{\left(5+12\right)\left(5-12\right)}

(a)  

93.

33÷(3)×(2)2-3^3\div\left(-3\right)\times\left(-2\right)^2

(a)  

94.

What number divided by (-8) gives 4?

(a)  

95.

What number must be divided by (-15) to obtain -3?

(a)  

96.

(30 + 26) divided by (-2 x 7) is what number?

(a)