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:

$\frac{628 km}{1}$

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,

$\frac{628 km}{1} \times \frac{1000m}{1km}$

Now the km's will cancel:

$\frac{628}{1} \times \frac{1000m}{1}$

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

$\frac{100cm}{1m}$

$\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}$

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

$628 \times 1000 \times 100 cm$

= 62800000 cm

Thus 628 km is equal to 62800000 cm