Free Printable HC02 Scientific Notation

1.

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

2.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

3.

How should you write 50,000 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

4.

Which of the following is in the correct format for scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

5.

Try to change the number back to standard form: 3.97 x 10^–2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

6.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

7.

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

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

8.

(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

9.

(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

10.

Solve: (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

11.

Solve: $\frac{9.6\ \times10^8}{2.0\ \times10^{-15}}$

a)

-4.8×10⁷

b)

4.8×10²³

c)

4.8×10^-7

d)

-4.8×10^-7

12.

Write 46.3 x 10⁴in scientific notation.

a)

It is in scientific notation.

b)

.463 x 10⁶

c)

4.63 x 10⁵

d)

4.63 x 10⁴

13.

Write 4.8 x 10⁰in standard form.

a)

What?

b)

480

c)

4.8

d)

48

14.

The number in front of the "x10" is called the coefficient. Which of the following is true about the coefficient?

a)

it must be greater than one (>1)

b)

it must be greater than ten (>10)

c)

it must be less than one (<1)

d)

it must be greater than 0 (>0)

15.

The number in front of the "x10" is called the coefficient. Which of the following is true about the coefficient?

a)

it must be less than one (<1)

b)

it must be greater than ten (>10)

c)

it must be less than ten (<10)

d)

it must be less than 0 (<0)

16.

The number in front of the "x10" is called the coefficient. Which of the following is true about the coefficient? (mark all that apply)

a)

it must be greater than one (>1)

b)

it must be greater than ten (>10)

c)

it must be less than ten (<10)

d)

it must be less than 0 (<0)

17.

If the exponent in a number written in scientific notation is POSITIVE (+), what can be said about the number in standard/decimal notation?

a)

it is less than one

(<1)

b)

it is greater than or equal to ten

(≥10)

18.

If the exponent in a number written in scientific notation is negative (–), what can be said about the number in standard/decimal notation?

a)

it is less than one

(<1)

b)

it is greater than or equal to ten

(≥10)

19.

What is the following number in standard decimal format?

$1.2\ \times10^3\ m$

Be sure to include units.

(a)

20.

What is the following number in standard decimal format?

$6.42\ \times10^2\ kg$

Be sure to include units.

(a)

21.

What is the following number in standard decimal format?

$4.01\ \times10^6\ \frac{m}{s}$

Be sure to include units.

(a)

22.

What is the following number in standard decimal format?

$9.9\ \times10^4\ mg\$

Be sure to include units.

(a)

23.

What is the following number in standard decimal format?

$9.9\ \times10^{-4}\ mg\$

Be sure to include units.

(a)

24.

What is the following number in standard decimal format?

$1.22\ \times10^{-2}\ m$

Be sure to include units.

(a)

25.

What is the following number in standard decimal format?

$7\ \times10^{-3}\ g$

Be sure to include units.

(a)

26.

What is the following number in standard decimal format?

$4.55\ \times10^{-2}\ mm$

Be sure to include units.

(a)

27.

Reorder the following from largest number to smallest (left to right)

a)

$1\times10^{26}$

b)

$1\times10^{12}$

c)

$1\times10^{-10}$

d)

$1\times10^{-15}$

e)

$1\times10^{-46}$

1)

2)

3)

4)

5)

28.

Reorder the following from smallest number to largest (left to right)

a)

$1\times10^{26}$

b)

$1\times10^{12}$

c)

$1\times10^{-10}$

d)

$1\times10^{-15}$

e)

$1\times10^{-46}$

1)

2)

3)

4)

5)

29.

What is the following number in standard decimal format?

$4\times10^{-1}\$

(a)

30.

What is the following number in standard decimal format?

$4\times10^{-2}\$

(a)

31.

What is the following number in standard decimal format?

$4\times10^{-3}\$

(a)

32.

What is the following number in standard decimal format?

$4\times10^{-4}\$

(a)

33.

What is the following number in standard decimal format?

$4\times10^1\$

(a)

34.

What is the following number in standard decimal format?

$4\times10^2\$

(a)

35.

What is the following number in standard decimal format?

$4\times10^3\$

(a)

36.

What is the following number in standard decimal format?

$4\times10^4\$

(a)

37.

What is the following number in standard decimal format?

$4\times10^5\$

(a)

38.

What would 1.2 × 10²³ look like in your calculator

(a)

39.

What would 4.59 × 10¹² look like in your calculator

(a)

40.

What would 6.78 × 10⁹ look like in your calculator

(a)

41.

What would 9.9 × 10¹¹ look like in your calculator

(a)

42.

What would 1.09 × 10²² look like in your calculator

(a)

43.

Which of these would give the RIGHT answer if the problem shown were inputted in the calculator? (mark all that apply)

$\frac{60}{2\times10^9}=$

a)

60/2⋇10^9

b)

60/(2⋇10^9)

c)

60/2⋇E9

d)

60/2E9

44.

What does a negative exponent tell you about the number?

a)

bigger number

b)

smaller number

45.

What does a positive exponent tell you about the number?

a)

bigger number

b)

smaller number

46.

When converting

1.2 × 10⁶

to standard decimal format

(pick two)

a)

bigger number,

b)

smaller number,

c)

move the decimal point to the right

d)

move the decimal point to the left

47.

When converting

9.221 × 10²³

to standard decimal format

(pick two)

a)

bigger number,

b)

smaller number,

c)

move decimal point to the right

d)

move decimal point to the left

48.

When converting

6.22 × 10¹²

to standard decimal format

(pick two)

a)

bigger number,

b)

smaller number,

c)

move decimal point to the right

d)

move decimal point to the left

49.

When converting

1.2209 × 10^-2

to standard decimal format

(pick two)

a)

bigger number,

b)

smaller number,

c)

move decimal point to the right

d)

move decimal point to the left

50.

When converting

6.11 × 10^-15

to standard decimal format

(pick two)

a)

bigger number,

b)

smaller number,

c)

move decimal point to the right

d)

move decimal point to the left

51.

When converting

3.7 × 10^-4

to standard decimal format

(pick two)

a)

bigger number,

b)

smaller number,

c)

move decimal point to the right

d)

move decimal point to the left

52.

Solve: $\frac{4.5\ \times10^{12}}{6.0\ \times10^{23}}=??$

a)

7.5×10^–12

b)

7.5×10³⁴

c)

7.5

53.

Which of these would give the WRONG answer if the problem shown were inputted in the calculator? (mark all that apply)

$\frac{60}{2\times10^9}=$

a)

60/2⋇10^9

b)

60/(2⋇10^9)

c)

60/2⋇E9

d)

60/2E9

HC02 Scientific Notation

Total questions: 53

Worksheet time: 48mins

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