1. Course 3, Lesson 1-7
Write each number in standard form.
1. 5.92 × 104 2. 1.9 × 10–6 3. 6.7 × 108
Write each number in scientific notation.
4. 26,400,000 5. 11,000 6. 0.000098
7. The diameter of Jupiter at its equator is approximately
143,000 kilometers. Write this number in scientific
notation.
9. 1
Need Another Example?
2
3
4
5
6
Step-by-Step Example
2. In 2010, the world population was about 6,860,000,000. The population
of the United States was about 3 × 108. About how many times larger is
the world population than the population of the United States?
Estimate the population of the world and write in scientific notation.
6,860,000,000 ≈ 7,000,000,000 or 7 × 109
Find .
=
≈ 2.3 ×
Associative Property
Divide 7 by 3. Round to the nearest tenth.
Quotient of Powers
7
≈ 2.3 × 101
So, the population of the world is about 23 times larger
than the population of the United States.
≈ 2.3 × 109 – 8
Subtract the exponents.
10. Answer
Need Another Example?
The largest planet in our solar system is Jupiter
with a diameter of about 143,000 kilometers.
The smallest planet in our solar system is
Mercury with a diameter of about 5 × 103
kilometers. About how many times greater is the
diameter of Jupiter than the diameter of
Mercury?
Sample answer: 3 × 101 or 30 times greater
11. 1
Need Another Example?
2
3
4
Step-by-Step Example
3. Evaluate the expression. Express the result in
scientific notation.
(6.89 × 104) + (9.24 × 105)
(6.89 × 104) + (9.24 × 105)
= (6.89 + 92.4) × 104
Write 9.24 × 105 as 92.4 × 104.
Distributive Property
Rewrite in scientific notation.= 9.929 × 105
= (6.89 × 104) + (92.4 × 104)
= 99.29 × 104 Add 6.89 and 92.4.
17. How did what you learned
today help you answer the
WHY is it helpful to write numbers in
different ways?
Course 3, Lesson 1-7
The Number System
18. How did what you learned
today help you answer the
WHY is it helpful to write numbers in
different ways?
Course 3, Lesson 1-7
The Number System
Sample answer:
• It is much easier to multiply or divide very large or very
small numbers when they are written in scientific
notation.
19. Write a short paragraph to
describe how yesterday’s
lesson on scientific notation
helped you with today’s
lesson.
Ratios and Proportional RelationshipsThe Number System
Course 3, Lesson 1-7