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 p·o 2.22×10⁵ 1·t 2.22×1 t·f 2.22×10⁴ c·s 2.22×1 g·l 5.4×10⁻⁶ u·p 5.4×10 q·h 5.4×10⁻¹⁴ x·v 5.4×10 a b c d e f g h i j k l m n o p q r s t u v w x exponents and exponential functions: scientific notation punchline • algebra • ©2006 marcy ma

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is of the form $a\times10^{n}$, where $1\leq|a|\lt10$ and $n$ is an integer.

Step2: Solve exercise 19

For $22.2\times10^{3}$, move the decimal point one place to the left to get $a = 2.22$ and increase the exponent of 10 by 1. So $22.2\times10^{3}=2.22\times10^{4}$.

Step3: Solve exercise 20

For $0.222\times10^{8}$, move the decimal point one place to the right to get $a = 2.22$ and decrease the exponent of 10 by 1. So $0.222\times10^{8}=2.22\times10^{7}$.

Step4: Solve exercise 21

For $0.54\times10^{-4}$, move the decimal point one place to the right to get $a = 5.4$ and decrease the exponent of 10 by 1. So $0.54\times10^{-4}=5.4\times10^{-5}$.

Step5: Solve exercise 22

For $54\times10^{-15}$, move the decimal point one place to the left to get $a = 5.4$ and increase the exponent of 10 by 1. So $54\times10^{-15}=5.4\times10^{-14}$.

Answer:

1. $2.22\times10^{4}$
2. $2.22\times10^{7}$
3. $5.4\times10^{-5}$
4. $5.4\times10^{-14}$