Question

in exercises 19-22, write the number in scientific notation. 19. 22.2 × 10³ 20. 0.222 × 10⁸ 21. 0.54 × 10⁻⁴ 22. 54 × 10⁻¹⁵

Explanation:

Step1: Adjust coefficient to 1-10, adjust exponent

$22.2 = 2.22 \times 10^1$, so $22.2 \times 10^3 = 2.22 \times 10^1 \times 10^3 = 2.22 \times 10^{1+3}$

Step2: Simplify the exponent

$2.22 \times 10^{4}$

Step1: Adjust coefficient to 1-10, adjust exponent

$0.222 = 2.22 \times 10^{-1}$, so $0.222 \times 10^8 = 2.22 \times 10^{-1} \times 10^8 = 2.22 \times 10^{-1+8}$

Step2: Simplify the exponent

$2.22 \times 10^{7}$

Step1: Adjust coefficient to 1-10, adjust exponent

$0.54 = 5.4 \times 10^{-1}$, so $0.54 \times 10^{-4} = 5.4 \times 10^{-1} \times 10^{-4} = 5.4 \times 10^{-1+(-4)}$

Step2: Simplify the exponent

$5.4 \times 10^{-5}$

Step1: Adjust coefficient to 1-10, adjust exponent

$54 = 5.4 \times 10^1$, so $54 \times 10^{-15} = 5.4 \times 10^1 \times 10^{-15} = 5.4 \times 10^{1+(-15)}$

Step2: Simplify the exponent

$5.4 \times 10^{-14}$

Answer:

1. $2.22 \times 10^{4}$
2. $2.22 \times 10^{7}$
3. $5.4 \times 10^{-5}$
4. $5.4 \times 10^{-14}$