Question

1. (2 points) write each of the following numbers in scientific notation.

a. 99012
b. 70
c. -10.4
d. 2.73
e. 0.80005
f. 0.0061

Explanation:

Step1: Define scientific notation

Scientific notation is $a \times 10^n$, where $1 \leq |a| < 10$, $n$ is integer.

Step2: Convert 99012

Move decimal 4 left: $9.9012 \times 10^4$

Step3: Convert 70

Move decimal 1 left: $7.0 \times 10^1$

Step4: Convert -10.4

Move decimal 1 left: $-1.04 \times 10^1$

Step5: Convert 2.73

Decimal already in range: $2.73 \times 10^0$

Step6: Convert 0.80005

Move decimal 1 right: $8.0005 \times 10^{-1}$

Step7: Convert 0.0061

Move decimal 3 right: $6.1 \times 10^{-3}$

Answer:

a. $9.9012 \times 10^4$
b. $7.0 \times 10^1$
c. $-1.04 \times 10^1$
d. $2.73 \times 10^0$
e. $8.0005 \times 10^{-1}$
f. $6.1 \times 10^{-3}$