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QuestionConvert 9.17×102 g9.17 \times 10^{2} \mathrm{~g} to kg\mathrm{kg}, reporting the answer with the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. The given mass is 9.17×10 g9.17 \times10^{} \mathrm{~g} . We need to convert this mass to kilograms3. We know that 1 kg=103 g1 \mathrm{~kg} =10^{3} \mathrm{~g}

STEP 2

First, we need to write down the conversion factor between grams and kilograms.
1 kg=10 g1 \mathrm{~kg} =10^{} \mathrm{~g}

STEP 3

Now, we need to convert the given mass from grams to kilograms. We can do this by dividing the given mass by the conversion factor.
Masskg=Massg103Mass_{kg} = \frac{Mass_{g}}{10^{3}}

STEP 4

Plug in the given mass into the equation to calculate the mass in kilograms.
Masskg=9.17×102103Mass_{kg} = \frac{9.17 \times10^{2}}{10^{3}}

STEP 5

Perform the division to calculate the mass in kilograms.
Masskg=9.17×102−3Mass_{kg} =9.17 \times10^{2-3}

STEP 6

implify the exponent to calculate the mass in kilograms.
Masskg=9.17×10−1Mass_{kg} =9.17 \times10^{-1}

STEP 7

Convert the scientific notation to a decimal to get the final answer.
Masskg=0.917Mass_{kg} =0.917The mass is0.917 kg.

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