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Scientific Math (Scientific notation only)

Total questions: 15

Worksheet time: 19mins

Name
Class
Date
1.

Reorder the following numbers from smallest to largest:

a)

9.98 * 10-6

b)

1.50 * 10-2

c)

5.71 * 102

d)

3.72 * 108

e)

3.71 * 108

1)
2)
3)
4)
5)
2.

The number 52,300 can be written in scientific notation as:

5.23 * 10??

What is the missing exponent on the 10?

3.

The number 0.00741 can be written in scientific notation as:

7.41 * 10??

What is the missing exponent on the 10?

4.

The number 104,200,350 can be written in scientific notation as:

1.04 * 10??

What is the missing exponent on the 10?

5.

The number 3.50 can be written in scientific notation as:

3.50 * 10??

What is the missing exponent on the 10?

6.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
7.

Imagine Abigail, Rohan, and Zoe are transporting freight across the galaxy. Each of them pilots a spaceship traveling at an incredible speed. Which spaceship represents the largest value of speed?

a)

Abigail's spaceship: 2.35 x 105 m/s

b)

Rohan's spaceship: 9.78 x 103 m/s

c)

Zoe's spaceship: 5.01 x 104 m/s

d)

The mysterious alien spaceship: 1.101 x 106 m/s

8.

Which number represents the smallest value?

a)

8.11 x 102 mph

b)

7.22 x 109 mph

c)

6.33 x 105 mph

d)

5.44 x 102 mph

9.

Zoey records the mass of an unknown particle as 7.82 x 10-6 grams.

The exponent of -6 tells you the particle's mass will be very ________.

a)

Large

b)

Small

10.

Maya uses a powerful telescope to locate a star that is 1.01 x 1012 light years away. This number is written in scientific notation.

The exponent of 12 tells you that this distance is incredibly ________.

a)

Large

b)

Small

11.

In the year 3020, a scientist records the energy output of a star in a distant galaxy. Which energy output is correctly written in scientific notation?

a)

8.2 x 102

b)

82 x 107

c)

3.45 x 94

12.

In the year 3021, a newly discovered planet was measured to have a population of 125,678,000 intelligent life forms. Rewrite this population count in scientific notation.

a)

1.25678  x  1012

b)

.125678  x  10-9

c)

12.5678  x  108

d)

1.25678  x  108

13.

Scientific notation is a way to write very large and very (a)   numbers written using a number ​ (b)   by a power of ​ (c)   .

Choose from the below words
small
multiplied
ten
14.

Match the following

a)

1.1⋅10−11.1\cdot10^{-1}

1.

.11

b)

1.1⋅1011.1\cdot10^1

2.

11

c)

1.1⋅1021.1\cdot10^2

3.

110

d)

1.1⋅10−41.1\cdot10^{-4}

4.

.00011

e)

1.1⋅1001.1\cdot10^0

5.

1.1

15.

Compare the numbers 3.5×1043.5 \times 10^4 and 2.1×1052.1 \times 10^5 . Which statement is true?

a)

3.5×1043.5 \times 10^4 is larger than 2.1×1052.1 \times 10^5 .

b)

3.5×1043.5 \times 10^4 is equal to 2.1×1052.1 \times 10^5 .

c)

3.5×1043.5 \times 10^4 is smaller than 2.1×1052.1 \times 10^5 .

d)

The numbers are incomparable.