To perform the division operation and express the answer in the correct number of significant figures, follow these steps:
1. Divide the given value of 1,305 m² by 42 m. This can be written as:
1,305 m² / 42 m
2. To divide the values, we need to remember that when dividing numbers with different units, we can cancel out the common unit. In this case, the common unit is "m", which appears in both the numerator (m²) and the denominator (m).
3. Cancel out the common unit "m" by dividing the numbers:
1,305 m² / 42 m = 1,305 / 42
4. Perform the division:
1,305 / 42 = 31.071428571428573
5. Now, we need to express the answer in the correct number of significant figures. The original numbers had 4 significant figures, so we should round the answer to 4 significant figures as well.
6. The digit in the fifth significant figure (1) is less than 5, so we can round down the last significant figure (7).
7. Therefore, the final answer, expressed in the correct number of significant figures, is:
31.07
So, 1,305 m² / 42 m is approximately equal to 31.07 when expressed with the correct number of significant figures