Free Printable Exponents and Scientific Notation

1.

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

a)

add

b)

subtract

c)

multiply

d)

divide

2.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

3.

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

4.

Convert this number into scientific notation: 0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

5.

Convert this number into scientific notation: 950,000

a)

9.5 x 10⁵

b)

9.5 x 10^-9

c)

9.5 x 10²

d)

None of the above

6.

Which value is the greatest

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

7.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

8.

a)

b)

c)

d)

9.

a)

b)

c)

d)

10.

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)

$2.8\times10^3$

11.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

12.

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)

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

13.

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

a)

$f^{23}$

b)

$f^3$

c)

$f^8$

d)

$f^2$

14.

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)

$1.7\times10^{16}$

15.

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

16.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

17.

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

18.

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

a)

$89.3\times10^{-7}$

b)

$8.93\times10^{-7}$

c)

$0.893\times10^{-7}$

d)

$8.93\times10^{-5}$

19.

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

a)

$1.24\times10^8$

b)

$1.42\times10^8$

c)

$1.42\times10^7$

d)

$1,420\times10^5$

20.

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

21.

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

22.

having the same value: equal to

a)

simplify

b)

power of

c)

reciprocal

d)

equivalent

23.

opposite

a)

value

b)

simplify

c)

power of

d)

inverse

24.

the number that produces a given number when multiplied by itself: the inverse of squaring a number

a)

cube root

b)

exponent

c)

expression

d)

square root

25.

the number that produces a given number when multiplied by itself three times; the inverse of cubing a number

a)

power of

b)

square root

c)

expression

d)

cube root

26.

a mathematical notation indicating the number of times a quantity is multiplied by itself

a)

expression

b)

power of

c)

cube root

d)

exponent

27.

the number or variable that is going to be raised to a power

a)

cube root

b)

value

c)

square root

d)

base

28.

to write an expression in simplest form

a)

power of

b)

equivalent

c)

reciprocal

d)

simplify

29.

a mathematical phrase that contains operations, numbers, and/or variables (no equal sign)

a)

exponent

b)

cube root

c)

square root

d)

expression

30.

numerical quantity that is assigned or determined by calculation or measurement

a)

expression

b)

base

c)

exponent

d)

value

31.

a fraction inverted (flipped upside down)

a)

equivalent

b)

expression

c)

simplify

d)

reciprocal

32.

a way of representing values as the product of a number between 1-10 and a power of ten

a)

expression

b)

exponent

c)

square root

d)

scientific notation

33.

another term to express exponents

a)

exponent

b)

simplify

c)

cube root

d)

power of

34.

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

a)

That the exponents are different

b)

That the constants are the same

c)

That the exponents are the same

d)

That both constants are positive

35.

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

36.

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

a)

50

b)

5

c)

100

d)

10

37.

Choose the smaller number.

a)

$9.5\times10^4$

b)

$9.21\times10^7$

38.

Choose the bigger number.

a)

$2.45\times10^{-6}$

b)

$7.3\times10^{-8}$

39.

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

40.

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

41.

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

42.

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

43.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

44.

A factory can make 3 × 10⁴ t-shirts per day, how many t-shirts will it make in 2.5 ×10² days?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

45.

A computer's hard disk drive holds 8 x 10⁷bytes of information. If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

46.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

47.

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

48.

A microgram is equal to 1 x 10 ^-6grams. How many times greater than a microgram is 1 x 10²grams?

a)

1 x 10^-8

b)

1 x 10^-4

c)

1 x 10⁴

d)

1 x 10⁸

49.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

3.326 x 10⁵

b)

3.326 x 10⁶

c)

1.99 x 10³⁰

d)

1.99 x 10⁶

50.

The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.

a)

hydrogen, carbon, oxygen, silver, gold

b)

hydrogen, oxygen, gold, siver, carbon

c)

carbon, oxygen, silver, gold, hydrogen

d)

gold, oxygen, carbon, silver, hydrogen

Exponents and Scientific Notation

Total questions: 50

Worksheet time: 46mins

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