Question

Use two unit multipliers to convert 628 kilometers to centimeters

Answer 1

Using two unit multiplier 628 km is equal to 62800000 cm

Solution:

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

`(628 km)/(1)`

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier,

`(628 km)/(1) * (1000m)/(1km)`

Now the km's will cancel:

`(628)/(1) * (1000m)/(1)`

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the first unit multiplier by putting 1 meter in the denominator and 100 cm in the numerator, so the meter's will cancel. So we multiply by the unit multiplier

`(100cm)/(1m)`

`(628)/(1) * (1000m)/(1) * (100cm)/(1m)`

We cancel the m's and we end up with:

`628 * 1000 * 100 cm`

= 62800000 cm

Thus 628 km is equal to 62800000 cm