High School

Which of the following equations finds the number of meters in 57 kilometers?

1) 57 ÷ 100 = 0.57 meter
2) 100 × 57 = 5,700 meters
3) 57 × 1,000 = 57,000 meters
4) 57 ÷ 1,000 = 0.057 meter

Answer :

To find the number of meters in 57 kilometers, we need to know the basic conversion factor between kilometers and meters.

There are 1,000 meters in 1 kilometer. So, to convert kilometers to meters, you multiply the number of kilometers by 1,000.

Let's go through each option provided:

  1. [tex]57 \div 100 = 0.57[/tex] meter: This option divides by 100, which is incorrect for converting kilometers to meters.

  2. [tex]100 \times 57 = 5,700[/tex] meters: This option multiplies by 100, also incorrect for converting kilometers to meters.

  3. [tex]57 \times 1,000 = 57,000[/tex] meters: This option multiplies by 1,000, which is correct because there are 1,000 meters in a kilometer.

  4. [tex]57 \div 1,000 = 0.057[/tex] meter: This option divides by 1,000, which is incorrect.

The correct choice is option 3: [tex]57 \times 1,000 = 57,000[/tex] meters.

This means that 57 kilometers is equivalent to 57,000 meters.