Free Printable Multiplying and Dividing in Scientific Notation

1.

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

a)

50

b)

5

c)

100

d)

10

2.

The first term (factor) in scientific notation must be _________.

a)

greater than 0 and less than 10

b)

greater than or equal to 1 and smaller than 10

c)

greater than 1

d)

double digit number

3.

When multiplying numbers in scientific notation, what do you do with the exponents?

a)

Multiply them

b)

Add them

c)

Keep them the same

d)

Make them equal

4.

When dividing numbers in scientific notation, what do you do to the exponents?
For example:
(4×10⁵) ∕ (3×10²)

a)

Add them

b)

Subtract them

c)

Keep them the same

d)

Divide them

5.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

6.

(9.6×10³) × (6.7×10²)

a)

64.32×10⁵

b)

6.432×10⁶

c)

64.32×10⁶

d)

$64.32\times10^3$

7.

(5x10¹⁰) x (3x10⁷)

a)

15x10¹⁷

b)

1.5x10¹⁷

c)

1.5x10¹⁸

d)

1.5x9¹⁷

8.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

9.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

10.

Evaluate. Leave your answer in scientific notation.
(9.6×10⁸) ⁄ (3×10⁴)
(hint - it's division...)

a)

6.6×10²

b)

3.2×10¹²

c)

3.2×10⁴

d)

6.6×10⁴

11.

Solve:

(20 x 10⁵⁰) / (4 x 10¹⁵)

a)

2.4 x 10⁵¹

b)

5 x 10⁶⁵

c)

8 x 10⁶⁶

d)

5 x 10³⁵

12.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

13.

(3 x 10^-5)/(4 x 10²)

a)

.75 x 10^-3

b)

.75 x 10^-7

c)

7.5 x 10^-8

d)

7 x 10²

14.

Solve:

\frac{3\times10^4}{8\times10}

a)

$4.0\times10^3$

b)

$3.75\times10^2$

c)

$7.35\times10^2$

d)

$37.5\times10^3$

15.

Solve: $\frac{4\times10^5}{16\times10^2}$

a)

$2.5\times10^2$

b)

$2.7\times10^2$

c)

$5.2\times10^3$

d)

$4.2\times10^8$

16.

Solve:
$\frac{4\times10^9}{5\times10^7}$

a)

$0.8\times10^2$

b)

$0.9\times10^2$

c)

$1.25\times10^2$

d)

$8\ \times10^1$

17.

Solve: $\left(3\times10^7\right)\left(9\times10^6\right)$

a)

$2.7\times10^7$

b)

$2.7\times10^{14}$

c)

$7.2\times10^6$

d)

$6.2\times10^{14}$

18.

Solve: (2 x 10⁹) (4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

19.

Solve:

\frac{6\times10^6}{2\times10^3}

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

20.

Multiply:

(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.008 x 10¹⁰

c)

3.008 x 10¹²

d)

2.9375 x 10¹

Multiplying and Dividing in Scientific Notation

Total questions: 20

Worksheet time: 5hrs 0mins

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