Question

1. write the following measurements in scientific notation. a) 78,010,000 s b) 0.0000000456 m

Explanation:

Step1: Move decimal for 78,010,000

To get a number between 1-10, move the decimal 7 places left: $7.8010000$

Step2: Write scientific notation for a)

Multiply by $10^7$, drop trailing zeros: $7.801 \times 10^7$

Step3: Move decimal for 0.0000000456

To get a number between 1-10, move the decimal 8 places right: $4.56$

Step4: Write scientific notation for b)

Multiply by $10^{-8}$: $4.56 \times 10^{-8}$

Answer:

a) $\boldsymbol{7.801 \times 10^7}$ s
b) $\boldsymbol{4.56 \times 10^{-8}}$ m