Free Printable Scientific Notation

1.

How would you write 4.3756 x 10⁴in standard form?

(a)

2.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

3.

How would you write -5.6 x 10^-3 in standard form?

(a)

4.

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

a)

True

b)

False

5.

Scientific Notation is made up of two number parts. The second part is a power 10.

a)

True

b)

False

6.

How do you write 8.317 x 10⁶in standard form?

(a)

7.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

8.

Express the following in scientific notation:

.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

9.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

10.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

11.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

12.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

13.

Convert this number to standard notation:

7.1 x 10⁴

(a)

14.

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

15.

Convert this number to standard notation:

1.4 x 10^-2

(a)

16.

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

17.

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

18.

Which number is the least in value?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

19.

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

20.

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?

a)

1

b)

10

c)

100

d)

1,000

21.

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

a)

50

b)

5

c)

100

d)

10

22.

Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

23.

Subtract withing scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)

a)

-3.937 x 10⁸

b)

3.937 x 10⁸

c)

3.937 x 10⁷

d)

3.937 x ⁻²

24.

Add withing scientific notation
(5.2 x 10⁷) + (3.01 x 10⁴)

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

25.

Add within scientific notation
(6.2 x 10²) + (9.7 x 10⁰)

a)

.6297 x 10²

b)

6.297 x 10⁰

c)

6.297 x 10³

d)

6.297 x 10²

26.

Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

27.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

28.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

29.

Write the answer in scientific notation.
4.1 x 10⁵ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

30.

(2.3 x 10²)+(4.1 x 10²)=

a)

6.4 x 10⁴

b)

6.4 x 10²

c)

6.4 x 10⁰

d)

.64 x 10¹

31.

Subtract withing scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)

a)

-3.937 x 10⁸

b)

3.937 x 10⁸

c)

3.937 x 10⁷

d)

3.937 x ⁻²

32.

Solve\ the\ following\ question:\ 2.4\cdot10^5+8.4\cdot10^4=

Remember to write your solution in Scientific Notation

a)

$10.8\cdot10^5$

b)

$1.08\cdot10^6$

c)

$32.4\cdot10^4$

d)

$3.24\cdot10^5$

33.

Solve\ the\ following\ question:\ 8.4\cdot10^8+2.7\cdot10^9=

Remember to write your solution in Scientific Notation

a)

$11.1\cdot10^9$

b)

$1.11\cdot10^{10}$

c)

$35.4\cdot10^8$

d)

$3.54\cdot10^9$

34.

Solve\ the\ following\ question:\ 7.4\cdot10^4-8.7\cdot10^3=

Remember to write your solution in Scientific Notation

a)

$-1.3\cdot10^4$

b)

$1.3\cdot10^4$

c)

$6.63\cdot10^4$

d)

$6.53\cdot10^4$

35.

Solve\ the\ following\ question:\ 9.4\cdot10^4-8.7\cdot10^3=

Remember to write your solution in Scientific Notation

a)

$0.7\cdot10^4$

b)

$7\cdot10^3$

c)

$8.63\cdot10^4$

d)

$8.53\cdot10^4$

36.

Solve\ the\ following\ question:\ 3.9\cdot10^{-5}-8.7\cdot10^{-6}=

Remember to write your solution in Scientific Notation

a)

$4.8\cdot10^{-6}$

b)

$-4.8\cdot10^{-6}$

c)

$3.13\cdot10^{-5}$

d)

$3.03\cdot10^{-5}$

37.

Solve\ the\ following\ question:\ 8.9\cdot10^{-7}-4.3\cdot10^{-8}=

Remember to write your solution in Scientific Notation

a)

$4.6\cdot10^{-7}$

b)

$-4.6\cdot10^{-7}$

c)

$8.57\cdot10^{-7}$

d)

$8.47\cdot10^{-7}$

38.

Solve\ the\ following\ question:\ 8.9\cdot10^{-7}-4.3\cdot10^{-7}=

Remember to write your solution in Scientific Notation

a)

$4.56\cdot10^{-7}$

b)

$4.46\cdot10^{-7}$

c)

$-4.6\cdot10^{-7}$

d)

$4.6\cdot10^{-7}$

39.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

40.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

41.

(9.6×10³) × (6.7×10²)

a)

64.32×10⁵

b)

6.432×10⁶

c)

64.32×10⁶

d)

64.32×10⁵

42.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

43.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

44.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

45.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

46.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

47.

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

48.

(5x10¹⁰) x (3x10⁷)

a)

15x10¹⁷

b)

1.5x10¹⁷

c)

1.5x10¹⁸

d)

1.5x9¹⁷

49.

How would you write
-5.6 x 10^-3
in standard decimal notation?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

50.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

51.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

-4.8×10^-7

52.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

53.

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

54.

Evaluate. Leave your answer in scientific notation.
(3.4×10⁴)(2×10⁴)

a)

6.8×10⁴

b)

5.4×10⁴

c)

6.8×10⁸

d)

5.4×10⁸

55.

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

Scientific Notation

Total questions: 55

Worksheet time: 14hrs 45mins

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