2. Main Idea and New Vocabulary
Example 1: Express Numbers in Standard Form
Example 2: Express Numbers in Standard Form
Example 3: Write Numbers in Scientific Notation
Example 4: Write Numbers in Scientific Notation
Example 5: Real-World Example
Lesson Menu

3. Use scientific notation to write large and small numbers.
Main Idea/Vocabulary

4. Express Numbers in Standard Form
Write 9.62 × 105 in standard form.
9.62 × 105 = 962,000. The decimal point moves 5 places right.
Answer: 962,000
Example 1

5. Write 7.1 × 103 in standard form.B
C. 710
D. 7,100
Example 1 CYP

6. Express Numbers in Standard Form
Write 2.85 × 10–6 in standard form.
2.85 × 10–6 = The decimal point moves 6 places left.
Answer:
Example 2

7. Write 5.09 × 10–4 in standard form.B
C. 5,090
D. 50,900
Example 2 CYP

8. Write Numbers in Scientific Notation
Write 931,500,000 in scientific notation.
931,500,000 = × 100,000,000
The decimal point moves 8 places.
= × 108 Since 931,500,000 > 1, the exponent is positive.
Answer: × 108
Example 3

9. Write 120,000 in scientific notation.
B. 1.2 × 104
C × 104
D. 1.2 × 105
Example 3 CYP

10. Write Numbers in Scientific Notation
Write in scientific notation.
= 4.43 × The decimal point moves 3 places.
= 4.43 × 10–3 Since 0 < < 1, the exponent is negative.
Answer: × 10–3
Example 4

11. Write 0.000092 in scientific notation.
B. 9.2 × 10–5
C × 10–4
D. 9.2 × 105
Example 4 CYP

12. VISIBLE LIGHT The following table lists the maximum frequency for the colors of the visible light spectrum. List the colors from greatest to least frequency.
Example 5

13. Since all the maximum frequencies have the same power of ten, compare the factors that are less than 10.
7.5 > > > >      violet blue green orange red
Answer: The colors from greatest to least frequency are violet, blue, green, orange, and red.
Example 5

14. A. Mercury, Venus, Saturn, Earth, Mars
4.87  1024
Venus
5.69  1026
Saturn
3.30  1023
Mercury
6.42  1023
Mars
5.98  1024
Earth
Mass (kg)
Planet
PLANETS The following table lists the masses of five planets. List the planets from least to greatest mass.
A. Mercury, Venus, Saturn, Earth, Mars
B. Mars, Mercury, Earth, Venus, Saturn
C. Mercury, Mars, Venus, Earth, Saturn
D. Mercury, Mars, Saturn, Venus, Earth
Example 5 CYP