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What should come in place of the questio...

What should come in place of the question mark (?) in the following questions:
56.703-63.179+49.361=?

A

41.785

B

41.885

C

42.895

D

42.885

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 56.703 - 63.179 + 49.361 \), we will follow these steps: ### Step 1: Add the first two numbers We start with the addition of \( 56.703 \) and \( 49.361 \). \[ 56.703 + 49.361 \] Aligning the numbers for addition: ``` 56.703 + 49.361 --------- ``` Now, we add the numbers column by column from right to left: - Thousandths place: \( 3 + 1 = 4 \) - Hundredths place: \( 0 + 6 = 6 \) - Tenths place: \( 7 + 3 = 10 \) (write down 0 and carry over 1) - Units place: \( 6 + 9 + 1 (carry) = 16 \) (write down 6 and carry over 1) - Tens place: \( 5 + 4 + 1 (carry) = 10 \) So, the sum is: \[ 106.064 \] ### Step 2: Subtract the third number Now, we subtract \( 63.179 \) from \( 106.064 \). \[ 106.064 - 63.179 \] Aligning the numbers for subtraction: ``` 106.064 - 63.179 ---------- ``` Now, we subtract the numbers column by column from right to left: - Thousandths place: \( 4 - 9 \) (we need to borrow, so it becomes \( 14 - 9 = 5 \)) - Hundredths place: \( 6 - 7 \) (we need to borrow, so it becomes \( 16 - 7 = 9 \)) - Tenths place: \( 0 - 1 \) (we need to borrow, so it becomes \( 10 - 1 = 9 \)) - Units place: \( 5 - 3 = 2 \) - Tens place: \( 10 - 6 = 4 \) So, the result of the subtraction is: \[ 42.885 \] ### Final Answer Thus, the value that comes in place of the question mark (?) is: \[ \boxed{42.885} \] ---
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