Answer :
To estimate the value of [tex]\(98.5 \times 13\)[/tex], we can simplify the multiplication by rounding the number 98.5 to a more convenient number. Here's how you can do it step by step:
1. Round the Number:
- Start by rounding 98.5 to the nearest whole number. In this case, 98.5 rounds up to 100 because it's closer to 100 than 98.
2. Perform the Estimation:
- Now, multiply the rounded number by 13. That means you calculate [tex]\(100 \times 13\)[/tex].
- This results in [tex]\(1300\)[/tex].
So, the estimation for [tex]\(98.5 \times 13\)[/tex] is approximately 1300.
There's also an additional step where you can compare the estimate using another rounded approach:
3. Alternate Rounded Calculation:
- If you rounded 98.5 to the nearest whole number, it would be 99.
- Multiply 99 by 13.
- This gives an estimated value closer to 1274.
Both steps give you a good idea of what [tex]\(98.5 \times 13\)[/tex] would be, using easy multiplication with rounded numbers. However, using 100 is simpler and provides a quick estimate as 1300.
1. Round the Number:
- Start by rounding 98.5 to the nearest whole number. In this case, 98.5 rounds up to 100 because it's closer to 100 than 98.
2. Perform the Estimation:
- Now, multiply the rounded number by 13. That means you calculate [tex]\(100 \times 13\)[/tex].
- This results in [tex]\(1300\)[/tex].
So, the estimation for [tex]\(98.5 \times 13\)[/tex] is approximately 1300.
There's also an additional step where you can compare the estimate using another rounded approach:
3. Alternate Rounded Calculation:
- If you rounded 98.5 to the nearest whole number, it would be 99.
- Multiply 99 by 13.
- This gives an estimated value closer to 1274.
Both steps give you a good idea of what [tex]\(98.5 \times 13\)[/tex] would be, using easy multiplication with rounded numbers. However, using 100 is simpler and provides a quick estimate as 1300.
