Question

3.2 km is equivalent to which of the following? You may choose more than one correct answer

Select all that apply.
3.2 × 10^7 mm
3.2 × 10^6 mm
3.2 × 10^6 cm
3.2 × 10^5 cm
3.2 × 10^4 m
3.2 × 10^3 m

Answer 1

Options 2, 4, 6 are correct.

Answer 2

Answer:
`3.2*10^6\text{ mm}`

`=3.2*10^5\text{ cm}`

`3.2*10^3\text{ meters}`

Explanation:

We know that 1 kilometer = 1000 meters

Therefore,
`\text{3.2 kilometers =}3.2*1000=3.2*10^3\text{ meters}`

Also, 1 meter = 100 cm

Therefore,
`3.2*10^3\text{ meters}=3.2*10^3*100`

`=3.2*10^3*10^2=3.2*10^(3+2)\\\\=3.2*10^5\text{ cm}......\text{[ by product law of exponent]}`

Also, 1 cm = 100 mm

Therefore,

`3.2*10^5\text{ cm}=3.2*10^5*10\\\\=3.2*10^(5+1)=3.2*10^6\text{ mm}......\text{[ by product law of exponent]}`