Math

QuestionConvert 1.6 m1.6 \mathrm{~m} to inches, rounding your answer to two significant figures.

Studdy Solution

STEP 1

Assumptions1. We are converting a length from meters to inches. . The conversion factor from meters to inches is39.37 inches per meter.
3. We need to express the answer using two significant figures.

STEP 2

First, write down the conversion factor from meters to inches.
1m=39.37inches1 \, m =39.37 \, inches

STEP 3

Now, multiply the given length in meters by the conversion factor to convert it to inches.
Lengthinches=Lengthmeters×ConversionfactorLength_{inches} = Length_{meters} \times Conversion \, factor

STEP 4

Plug in the given length in meters and the conversion factor to calculate the length in inches.
Lengthinches=1.6m×39.37inches/mLength_{inches} =1.6 \, m \times39.37 \, inches/m

STEP 5

Calculate the length in inches.
Lengthinches=1.m×39.37inches/m=62.992inchesLength_{inches} =1. \, m \times39.37 \, inches/m =62.992 \, inches

STEP 6

Now, we need to express the answer using two significant figures. This means we round the answer to the nearest whole number because the number62.992 has two non-zero digits before the decimal point.
Lengthinches=63inchesLength_{inches} =63 \, inchesThe length of 1.6m1.6 \, m is approximately 63inches63 \, inches when expressed using two significant figures.

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