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Question

Difficulty: EasyMetric System Conversions

A technician is cutting copper wire for electrical installations. Each installation requires 4545 centimeters of wire. How many meters of wire are needed to complete 2020 installations?

  1. A
    0.90.9
  2. 99Answer
  3. C
    9090
  4. D
    90,00090,000

Answer

The correct answer is 99 meters.
First, calculate the total length of wire needed by multiplying the requirement for one installation (4545 cm) by the number of installations (2020), which equals 900900 cm. To convert centimeters to meters, divide by the conversion factor of 100100 (since 11 meter = 100100 centimeters). Dividing 900900 by 100100 results in exactly 99 meters.

Step-by-Step Solution

1
Calculate the total amount of wire needed in centimeters.
45×20=90045 \times 20 = 900 centimeters
To find the overall length required before converting to the requested unit.
2
Convert the total length from centimeters to meters.
900÷100=9900 \div 100 = 9 meters
Because there are 100100 centimeters in 11 meter, divide the centimeter value by 100100.

Key Concept

To convert from a smaller metric unit (centimeters) to a larger metric unit (meters), divide by the appropriate power of ten (in this case, 100).
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Topics

Metric System Conversions

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