Answer :
To estimate the value of [tex]\(98.5 \times 13\)[/tex], we can make the calculation simpler by rounding one of the numbers to a number that is easier to work with.
1. Round 98.5: We can round 98.5 to 100. Rounding to the nearest whole number makes calculations easier and provides a good estimate.
2. Multiply by 13: With 98.5 rounded to 100, you now multiply 100 by 13:
[tex]\[
100 \times 13 = 1300
\][/tex]
This gives us an estimated value of 1300.
3. Exact Calculation: For reference, the exact product of [tex]\(98.5 \times 13\)[/tex] is 1280.5.
4. Comparison: The estimated value is 1300, which is close to the exact value of 1280.5, showing that the estimation is reasonable.
Using approximation helps simplify calculations and provides a quick way to understand the scale of the result. The exact product confirms that the estimation is in the right range.
1. Round 98.5: We can round 98.5 to 100. Rounding to the nearest whole number makes calculations easier and provides a good estimate.
2. Multiply by 13: With 98.5 rounded to 100, you now multiply 100 by 13:
[tex]\[
100 \times 13 = 1300
\][/tex]
This gives us an estimated value of 1300.
3. Exact Calculation: For reference, the exact product of [tex]\(98.5 \times 13\)[/tex] is 1280.5.
4. Comparison: The estimated value is 1300, which is close to the exact value of 1280.5, showing that the estimation is reasonable.
Using approximation helps simplify calculations and provides a quick way to understand the scale of the result. The exact product confirms that the estimation is in the right range.