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: $3.2\times10^6\text{ mm}$

$=3.2\times10^5\text{ cm}$

$3.2\times10^3\text{ meters}$

Step-by-step explanation:

We know that 1 kilometer = 1000 meters

Therefore, $\text{3.2 kilometers =}3.2\times1000=3.2\times10^3\text{ meters}$

Also, 1 meter = 100 cm

Therefore, $3.2\times10^3\text{ meters}=3.2\times10^3\times100$

$=3.2\times10^3\times10^2=3.2\times10^{3+2}\\\\=3.2\times10^5\text{ cm}......\text{[ by product law of exponent]}$

Also, 1 cm = 100 mm

Therefore,

$3.2\times10^5\text{ cm}=3.2\times10^5\times10\\\\=3.2\times10^{5+1}=3.2\times10^6\text{ mm}......\text{[ by product law of exponent]}$