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17298+13232-28989=?...

17298+13232-28989=?

A

1541

B

1441

C

1641

D

1451

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 17298 + 13232 - 28989 \), we will follow these steps: ### Step 1: Add the first two numbers We start by adding \( 17298 \) and \( 13232 \). \[ 17298 + 13232 \] Aligning the numbers for addition: ``` 17298 + 13232 ------- ``` Now, we add column by column from right to left: - Units place: \( 8 + 2 = 10 \) (write down 0 and carry over 1) - Tens place: \( 9 + 3 + 1 (carry) = 13 \) (write down 3 and carry over 1) - Hundreds place: \( 2 + 2 + 1 (carry) = 5 \) (write down 5) - Thousands place: \( 7 + 3 = 10 \) (write down 0 and carry over 1) - Ten-thousands place: \( 1 + 1 (carry) = 2 \) (write down 2) So, the sum is: \[ 17298 + 13232 = 30530 \] ### Step 2: Subtract the third number Now we need to subtract \( 28989 \) from \( 30530 \): \[ 30530 - 28989 \] Aligning the numbers for subtraction: ``` 30530 - 28989 ------- ``` Now, we subtract column by column from right to left: - Units place: \( 0 - 9 \) (we cannot do this, so we borrow 1 from the tens place, making it 10 - 9 = 1) - Tens place: \( 2 (after borrowing) - 8 = -6 \) (we borrow again, making it 12 - 8 = 4) - Hundreds place: \( 5 - 9 \) (we borrow again, making it 15 - 9 = 6) - Thousands place: \( 0 (after borrowing) - 8 = -8 \) (we borrow again, making it 10 - 8 = 2) - Ten-thousands place: \( 2 - 2 = 0 \) So, the result of the subtraction is: \[ 30530 - 28989 = 1541 \] ### Final Answer Thus, the final answer is: \[ 17298 + 13232 - 28989 = 1541 \] ### Options The correct option is A) 1541. ---
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