Let's estimate the initial balance and the amounts of the four checks to the nearest hundred and then calculate the estimated new balance.
Step 1: Estimate the initial balance to the nearest hundred
1. The initial balance is [tex]$2915.
- Rounding $[/tex]2915 to the nearest hundred gives us [tex]$2900.
Step 2: Estimate each check amount to the nearest hundred
1. Check for $[/tex]90:
- Rounding [tex]$90 to the nearest hundred gives us $[/tex]100.
2. Check for [tex]$282:
- Rounding $[/tex]282 to the nearest hundred gives us [tex]$300.
3. Check for $[/tex]402:
- Rounding [tex]$402 to the nearest hundred gives us $[/tex]400.
4. Check for [tex]$521:
- Rounding $[/tex]521 to the nearest hundred gives us [tex]$500.
Step 3: Calculate the total rounded check amount
1. Adding the rounded amounts for each check:
- $[/tex]100 (check 1)
- + [tex]$300 (check 2)
- + $[/tex]400 (check 3)
- + [tex]$500 (check 4)
- Total: $[/tex]1300.
Step 4: Estimate the new balance
1. Subtract the total estimated check amount from the estimated initial balance:
- [tex]$2900 (estimated initial balance)
- - $[/tex]1300 (total estimated check amount)
- Equals: [tex]$1600.
So, the estimated new balance after writing the checks, rounded to the nearest hundred, would be $[/tex]1600.
