Answer :
Front-end estimation with adjustment is a method used to quickly approximate the sum of numbers by focusing on the most significant digits.
Here's how you can estimate the sum of 2346, 2355, 6510, and 910 using front-end estimation with adjustment:
Identify the largest place values for each number:
- 2346 has a leading digit of 2 in the thousands place.
- 2355 has a leading digit of 2 in the thousands place.
- 6510 has a leading digit of 6 in the thousands place.
- 910 has a leading digit of 9 in the hundreds place.
Add the leading digits with their place value:
- The sum of the thousands digits is:
[tex]2000 + 2000 + 6000 = 10000[/tex] - Since 910 only affects the hundreds place, start by taking its hundreds digit '9':
[tex]10000 + 900 = 10900[/tex]
- The sum of the thousands digits is:
Adjust by considering the next significant digits:
Look at the hundreds place for the first two numbers and also the additional hundreds from the last number.
- 2346 contributes 300
- 2355 contributes 300
- The sum of these is 600.
- Add this to the previous sum:
[tex]10900 + 600 = 11500[/tex]
Additional adjustments can be made by considering the tens place if needed, but usually stopping here gives a good estimate.
Therefore, using front-end estimation with adjustment, the estimated sum of 2346, 2355, 6510, and 910 is approximately 11,500.
