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98.76 + 24.96 + 215.005 - ? = 309.99...

`98.76 + 24.96 + 215.005 - ? = 309.99`

A

a. 28.76

B

b. 29.5

C

c. 30.0

D

d 31.5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 98.76 + 24.96 + 215.005 - ? = 309.99 \), we will follow these steps: ### Step 1: Add the numbers on the left side of the equation. We need to calculate \( 98.76 + 24.96 + 215.005 \). 1. Align the numbers by their decimal points: ``` 98.760 + 24.960 +215.005 ``` 2. Add them column by column: - Starting from the rightmost column: - \( 0 + 0 + 5 = 5 \) - Next column: - \( 6 + 6 + 0 = 12 \) (write down 2 and carry over 1) - Next column: - \( 7 + 9 + 5 + 1 (carry) = 22 \) (write down 2 and carry over 2) - Next column: - \( 8 + 4 + 1 + 2 (carry) = 15 \) (write down 5 and carry over 1) - Finally: - \( 1 + 2 + 0 + 1 (carry) = 4 \) So, the total is: \[ 98.76 + 24.96 + 215.005 = 338.725 \] ### Step 2: Set up the equation to find the question mark. We have: \[ 338.725 - ? = 309.99 \] ### Step 3: Rearrange the equation to solve for the question mark. To find \( ? \), we can rearrange the equation: \[ ? = 338.725 - 309.99 \] ### Step 4: Perform the subtraction. Align the numbers by their decimal points: ``` 338.725 - 309.990 ``` 1. Subtract column by column: - Starting from the rightmost column: - \( 5 - 0 = 5 \) - Next column: - \( 2 - 9 \) (we need to borrow, so it becomes \( 12 - 9 = 3 \)) - Next column: - \( 7 - 9 \) (again we need to borrow, so it becomes \( 17 - 9 = 8 \)) - Next column: - \( 8 - 0 - 1 (borrow) = 7 \) - Finally: - \( 3 - 3 = 0 \) So, the result of the subtraction is: \[ ? = 28.735 \] ### Final Answer: The value of \( ? \) is \( 28.735 \). ---
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