Free Printable sara 2

1.

Simplify 5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

Simplify (2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

3.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

4.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

5.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

6.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

7.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

5 x 10^-3

d)

.5 x 10³

8.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

9.

Simplify using a positive exponent.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

10.

Fill in the blank with the correct exponent to make the statement true.
3^{16 =}(3⁸)(3^_)

a)

2

b)

8

c)

4

d)

1

11.

This number shows up in your calculator. What is the number in scientific notation? 5.32E10

a)

5.32 x 10^-10

b)

5.32 x 10¹⁰

c)

532 x 10¹⁰

d)

5.32 x 10¹

12.

When writing a number in scientific notation, the first number must be at least 1, but less than 10. (1 < x < 10)

a)

False

b)

True

13.

Scientific Notation is made up of two number parts. The second part must be an exponent with of base 10.

a)

True

b)

False

14.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

15.

Which is greater? 1.111 x 10¹⁵ or 9.999 x 10³ ?

a)

They are equivalent.

b)

There is no way to determine which is greater. The numbers are too big to understand.

c)

1.111 x 10¹⁵ is greater because of the larger exponent

d)

9.999 x 10³ is greater because 9.999 is larger than 1.111

16.

What is the main reason we sometimes write numbers in scientific notation?

a)

because it's a shorter way to write really long numbers

b)

it's the teacher's favorite way

c)

exponents are always easier than standard form numbers

d)

because elephants weigh a lot

17.

Which of the following is NOT equivalent to (2³)² ?

a)

2⁵

b)

2⁶

c)

64

d)

2³ x 2³

18.

Simplify

a)

8^-9

b)

8^-3

c)

8³

d)

8⁹

19.

Determine the product between 300.5 x (3 x 10⁵)

a)

9.015 x 10⁷

b)

901.5 x 10⁵

c)

9.015 x 10⁵

d)

9.15 x 10⁴

20.

The average person blink 2.88 x 10⁴ times a day. How many times does a person blink in year (365 days)? Write your answer in scientific notation

a)

367.88 x 10⁴

b)

1.0512 x 10⁷

c)

1051.2 x 10⁴

d)

3.6788 x 10⁷

21.

How would you write 4.3756 x 10⁴in standard form?

a)

437560000

b)

0.00043756

c)

43756

d)

4.3756

22.

Scientific Notation is made up of two number parts. The second part must be an exponent with of base 10.

a)

True

b)

False

23.

When writing a number in scientific notation, the first number must be at least 1, but less than 10. (1 < x < 10)

a)

False

b)

True

24.

How do you write 8.317 x 10⁶in standard form?

a)

8,371,000

b)

83,170,000

c)

837,100

d)

8,317,000

25.

Which of the following are correct scientific notation? SELECT ALL THAT APPLY

a)

20.35 x 10⁴

b)

2 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

e)

2.035 x 8¹⁰

26.

Evaluate: 12⁰= ?

a)

0

b)

1

c)

12

d)

undefined

27.

Evaluate: 3^-2 = ?

a)

1/9

b)

-6

c)

-9

d)

-1/6

28.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

29.

Simplify (2⁸)² as exponents.

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

30.

According to exponent rules, when we multiply exponents with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

31.

What is the value of (2³)³in standard form?

a)

1

b)

4

c)

64

d)

512

32.

Which is greater? 1.111 x 10¹⁵ or 9.999 x 10³ ?

a)

They are equivalent.

b)

There is no way to determine which is greater. The numbers are too big to understand.

c)

1.111 x 10¹⁵ is greater because of the larger exponent

d)

9.999 x 10³ is greater because 9.999 is larger than 1.111

33.

What is the main reason we sometimes write numbers in scientific notation?

a)

because it's a shorter way to write really long numbers

b)

it's the teacher's favorite way

c)

exponents are always easier than standard form numbers

d)

because elephants weigh a lot

34.

The Earth is approximately 9.3 x 10⁷ miles from the sun. How far is that in standard form?

a)

93,000,000

b)

930,000,000

c)

93.7

d)

93 billion

35.

Which of the following is NOT equivalent to (2³)² ?

a)

2⁵

b)

2⁶

c)

64

d)

2³ x 2³

36.

$\frac{a^7}{a^{14}}$

a)

$\frac{1}{a^7}$

b)

$a^2$

c)

a

d)

$\frac{1}{a^2}$

37.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

38.

a)

b)

c)

d)

39.

a)

b)

c)

d)

40.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

41.

Which of the following represents a true statement?

a)

$19^{21}\cdot19^3=19^{63}$

b)

$\left(24^8\right)^5=24^{40}$

c)

$20^1=20^0$

d)

$\frac{16^{40}}{16^{20}}=16^2$

42.

Which has the same value as $\frac{f^9\cdot f^3}{f^4}$ ?

a)

$f^{23}$

b)

$f^3$

c)

$f^8$

d)

$f^2$

43.

Simplify.

$\frac{8.4\times10^{10}}{3\times10^7}$

a)

$2.8\times10^{17}$

b)

$5.4\times10^3$

c)

$2.8\times10^{70}$

d)

$2.8\times10^3$

44.

Which is the simplified version of $\left(8.5\times10^3\right)\left(2\times10^5\right)$ , expressed in scientific notation?

a)

$17\times10^8$

b)

$1.7\times10^9$

c)

$1.7\times10^7$

d)

$1.7\times10^{16}$

45.

Mark studied a group of 30 whales. If each whale weighed approximately $3.8\times10^5$ pounds, find the total weight of all 30 whales. Express your answer in scientific notation.

a)

$114\times10^5$ lbs

b)

$14.4\times10^6$ lbs

c)

$1.14\times10^7$ lbs

d)

$1.14\times10^5$ lbs

46.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

47.

$\left(3x\right)^3$

a)

$9x^3$

b)

$x^3$

c)

$27x^3$

d)

$6x^3$

48.

(r²s³t)⁸

a)

r¹⁶s²⁴t⁸

b)

r¹⁰s¹¹t⁸

c)

r¹⁰s¹¹t⁹

d)

r¹⁶s²⁴t⁹

49.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

50.

Write the answer in scientific notation.

5.3 x 10⁵ + 3.7 x 10⁵ =

a)

99.0 x 10⁵

b)

9.9 x 10¹⁰

c)

8.0 x 10⁵

d)

9.0 x 10⁵

51.

$\left(9\times10^{-5}\right)-\left(7\times10^{-7}\right)=$

a)

$89.3\times10^{-7}$

b)

$8.93\times10^{-7}$

c)

$0.893\times10^{-7}$

d)

$8.93\times10^{-5}$

52.

$\left(12\times10^6\right)+\left(13\times10^7\right)$

a)

$1.24\times10^8$

b)

$1.42\times10^8$

c)

$1.42\times10^7$

d)

$1,420\times10^5$

53.

$\left(4\times10^6\right)+\left(8\times10^8\right)=$

a)

$804\times10^6$

b)

$8.04\times10^8$

c)

$80.4\times10^5$

d)

$0.084\times10^4$

54.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

55.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

56.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

57.

Express the following in standard notation:

8.025 x 10^-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

58.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

59.

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

a)

False

b)

True

60.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

61.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

62.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

63.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

64.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

65.

According to exponent rules, when we multiply the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

66.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

67.

In 2³what is the base?

a)

2

b)

3

c)

2³

68.

Simplify 4m⁰

a)

4

b)

1

c)

0

d)

-4

69.

What is the value of 4.2 xz 10^-3?

a)

0.00042

b)

0.42

c)

0.0042

d)

4200

70.

Find the value of the power.
5⁴

a)

625

b)

20

c)

50

sara 2

Total questions: 70

Worksheet time: 9hrs 31mins

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