II. Scientific Notation
A. Write each number in scientific notation.
2. 127 000
4. 0.0928
6. 0.296
8. 152 000 000
10. 0.000586
B. Write each number in standard form.
2. 3.71 x 10¯³
4. 6.31 x 10⁵
6. 8.45 x 1010
8. 8.4 x 10-7
10. 1.05 x 10-4
A. Write each number in scientific notation.
2. 127 000
4. 0.0928
6. 0.296
8. 152 000 000
10. 0.000586
B. Write each number in standard form.
2. 3.71 x 10¯³
4. 6.31 x 10⁵
6. 8.45 x 1010
8. 8.4 x 10-7
10. 1.05 x 10-4
Answers & Comments
Answer:
A. In scientific notation, numbers are written in the form of a coefficient multiplied by a power of 10. Let's write each number in scientific notation.
2. 127,000 = 1.27 x 10⁵
4. 0.0928 = 9.28 x 10⁻²
6. 0.296 = 2.96 x 10⁻¹
8. 152,000,000 = 1.52 x 10⁸
10. 0.000586 = 5.86 x 10⁻⁴
B. To convert numbers from scientific notation to standard form, we multiply the coefficient by 10 raised to the power indicated. Let's write each number in standard form.
2. 3.71 x 10¯³ = 0.00371
4. 6.31 x 10⁵ = 631,000
6. 8.45 x 10¹⁰ = 8,450,000,000
8. 8.4 x 10⁻⁷ = 0.00000084
10. 1.05 x 10⁻⁴ = 0.000105