Solved on Nov 02, 2023

Convert 1.07×1091.07 \times 10^{9} meters to millimeters and divide by 61 mm61 \mathrm{~mm}.

STEP 1

Assumptions1. The given distance is 1.07×1091.07 \times10^{9} meters. The divisor is 6161 millimeters3. We need to convert the divisor from millimeters to meters before performing the division, as the units should be the same for a valid mathematical operation.

STEP 2

First, we need to convert millimeters to meters. We know that 11 meter is equal to 10001000 millimeters.
1 m=1000 mm1 \mathrm{~m} =1000 \mathrm{~mm}

STEP 3

Now, convert 6161 millimeters to meters by dividing by 10001000.
61 mm=611000 m61 \mathrm{~mm} = \frac{61}{1000} \mathrm{~m}

STEP 4

Calculate the value in meters.
61 mm=611000 m=0.061 m61 \mathrm{~mm} = \frac{61}{1000} \mathrm{~m} =0.061 \mathrm{~m}

STEP 5

Now that we have the divisor in meters, we can perform the division.
1.07×109 m0.061 m\frac{1.07 \times10^{9} \mathrm{~m}}{0.061 \mathrm{~m}}

STEP 6

Perform the division to get the final result.
1.07×109 m0.061 m=1.75×1011\frac{1.07 \times10^{9} \mathrm{~m}}{0.061 \mathrm{~m}} =1.75 \times10^{11}So, 1.07×1091.07 \times10^{9} meters divided by 6161 millimeters is 1.75×10111.75 \times10^{11}.

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