Scientific Notation IM 8th grade Unit 7

Change Numbers into Scientific Notation

100

8,000,000

8 x 10⁶

200

0.00035

3.5 x 10^-4

300

12,500,000

1.25 x 10⁷

400

0.000 000 000 006 512

6.512 x 10^-12

500

40,850,000,000,000

4.085 x 10¹³

Comparing Numbers in Scientific Notation

100

Which number is greater? 

3 x 10¹⁹ or 5 x 10¹⁶?

3 x 10¹⁹

200

Which number is lesser? 

2.7 x 10^-9 or 2.7 x 10^-10?

2.7 x 10^-10

300

Put these in order from least to greatest:

2.5 x 10^-2
3.9 x 10^-7
1.4 x 10⁰

3.9 x 10^-7
2.5 x 10^-2
1.4 x 10⁰

400

Put these in order from least to greatest:

9.08 x 10¹⁵
4.6 x 10¹⁶
9.2 x 10¹⁵
1.54 x 10¹⁶

9.08 x 10¹⁵
9.2 x 10¹⁵
1.54 x 10¹⁶
4.6 x 10¹⁶

500

Put these in order from least to greatest:

6.17 x 10¹⁴
2.05 x 10¹⁴
2.15 x 10¹³
9.89 x 10¹³
9.99 x 10^-15

9.99 x 10^-15
2.15 x 10¹³
9.89 x 10¹³
2.05 x 10¹⁴
6.17 x 10¹⁴

Multiplying and Dividing in Scientific Notation

100

(4 x 10⁶)(3 x 10⁶)

1.2 x 10¹³

200

Write your answer in scientific notation

  6 x 10⁹  

------------

1.5 x 10³

4 x 10⁶

300

(8.3 x 10²)(7 x 10³)

5.81 x 10⁶

400

Write your answer in scientific notation

7.7 x 10² 

------------

7 x 10^-2

1.1 x 10⁴ 

500

Write your answer in scientific notation

4.5 x 10^-8  

------------

 3 x 10^-3

  1.5 x 10^-5

Adding and Subtracting in Scientific Notation

100

Write your answer in scientific notation

(8.2 x 10²) + (3.41 x 10²)

1.161 x 10³

200

Write your answer in scientific notation

(7.8 x 10^-5) - (4.5 x 10^-5)

3.3 x 10^-5

300

Write your answer in scientific notation

(4.2 x 10⁸) + (5.9 x 10⁹)

6.32 x 10⁹

400

Write your answer in scientific notation

(5.9 x 10^-4) - (1.8 x 10^-5)

5.72 x 10^-4

500

Write your answer in scientific notation

(5.32 x 10³) + (3.2 x 10²)

5.64 x 10³

Ratios in Scientific Notation

100

Find the value of the ratio in standard form that compares 2.5 x 10⁸ and 1.25 x 10⁵.

2,000

200

How many times greater is 1.5 x 10¹⁴ than 3 x 10¹²?

50 times greater

300

How many times greater is 

7.14 x 10⁷ than 2.1 x 10⁶?

34 times greater

400

The mass of Earth is approximately 5.97 x 10²⁴ kg. The mass of the moon is approximately 7.35 x 10²² kg. How many times heavier is the Earth than its moon? Round to the nearest whole number.

About 81 times heavier

500

Jupiter has 67 confirmed moons, the largest of which is Ganymede with a mass of 1.48 x 10²³ kg. The mass of Jupiter itself is approximately 1.9 x 10²⁷ kg. How many times greater is Jupiter's mass than the mass of its largest moon? Round your answer to the nearest whole.

12,838 times greater.