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Chapter 2: Problem 23

What is the product of 0.8102 \(\mathrm{m}\) and 3.44 \(\mathrm{m} ?\)

Short Answer

Expert verified
The product of 0.8102 \(\mathrm{m}\) and 3.44 \(\mathrm{m}\) is 2.787088 \(\mathrm{m}^2\).

Step by step solution

01

Arrange the Numbers

First, arrange the numbers so that 0.8102 is on top of 3.44. The decimal points should be directly above each other.
02

Perform the Multiplication

Next, perform the multiplication as if there were no decimal points. Multiply 8102 by 344.
03

Place the Decimal Point

The next step is determining the correct place for the decimal point in the product. Add the number of digits after the decimal in the original numbers (four in 0.8102 and two in 3.44, total of six) and place the decimal in the product so that there are six digits after it.
04

Expressing the Solution

Finally, express the product in terms of the units given in the problem, which in this case are meters (\(\mathrm{m}\)).

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