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Scientific Notation

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Change from standard form to scientific notation:  450,000

a)

4.5  x  105

b)

45  x  105

c)

4.5  x  104

d)

4.5  x  106

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.

Compare 2.01 x 1015 and 2.8 x 1013. Which number is larger?

a)

2.01 x 1015

b)

2.8 x 1013

4.

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

a)

Larger

b)

Smaller

5.
a)

0.012

b)

0.12

c)

1.2

d)

12

6.
a)

0.00009132

b)

0.00000009132

c)

0.000000009132

d)

0.00000009312

7.

Write 9,450,000 in scientific notation.

a)

9.45 x 104

b)

9.45 x 105

c)

9.45 x 106

d)

.945 x 107

8.

Write 46.3 x 104 in scientific notation.

a)

It is in scientific notation.

b)

.463 x 106

c)

4.63 x 105

d)

4.63 x 104

9.
a)

340000

b)

340

c)

3400

d)

34000

10.

What is the simplified version of

a)

3.9 x 106

b)

4 x 1020

c)

4 x 106

d)

3.9 x 1020

11.

Light travels at a rate of 186,000 miles per second.  Write this number in scientific notation.

a)

1.86 x 105

b)

1.86 x 104

c)

18.6 x 104

d)

186 x 103

12.
a)

8.9 × 10-4

b)

0.89 × 10-4

c)

8.9 × 10-3

d)

0.0089 × 10-3

13.

7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

14.

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

a)

1 x 10-8

b)

1 x 10-4

c)

1 x 104

d)

1 x 108

15.

The US spends an average of 1.02x104 dollars on each student per year.  There are about 7.6x107 students in the US.  About how much money total is spent on students per year?

a)

7.752 x 1011

b)

7.752 x 1028

c)

8.62 x 1011

d)

8.62 x 1028

16.

How would you write 4.3756 x 104 in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

17.

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

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

18.

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

a)

False

b)

True

19.

How do you write
1001
in scientific notation?

a)

1.0001 x 104

b)

1.01 x 105

c)

1.001 x 103

d)

10.1 x 103

20.

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