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What is to be subtracted from 8.1 to get...

What is to be subtracted from 8.1 to get 0.813?

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To solve the problem "What is to be subtracted from 8.1 to get 0.813?", we will follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find a number (let's call it \( x \)) that, when subtracted from 8.1, gives us 0.813. This can be expressed with the equation: \[ 8.1 - x = 0.813 \] 2. **Rearrange the Equation**: To find \( x \), we can rearrange the equation to isolate \( x \): \[ x = 8.1 - 0.813 \] 3. **Perform the Subtraction**: Now, we will calculate \( 8.1 - 0.813 \): - First, align the decimal points: ``` 8.100 - 0.813 --------- ``` - Now, subtract starting from the right: - In the thousandths place: \( 0 - 3 \) (we need to borrow, so it becomes \( 10 - 3 = 7 \)) - In the hundredths place: \( 0 - 1 \) (after borrowing, it becomes \( 9 - 1 = 8 \)) - In the tenths place: \( 0 - 8 \) (after borrowing, it becomes \( 10 - 8 = 2 \)) - In the units place: \( 8 - 0 = 8 \) Putting it all together, we get: \[ 8.100 - 0.813 = 7.287 \] 4. **Conclusion**: Therefore, the number that needs to be subtracted from 8.1 to get 0.813 is: \[ x = 7.287 \] ### Final Answer: The number to be subtracted from 8.1 to get 0.813 is **7.287**. ---
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