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Evaluate 8. 56 div 4...

Evaluate `8. 56 div 4`

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To evaluate \( 8.56 \div 4 \), we can follow these steps: ### Step 1: Set up the division We will divide \( 8.56 \) by \( 4 \). To make the division easier, we can ignore the decimal for now and consider \( 856 \) (which is \( 8.56 \) multiplied by \( 100 \)). ### Step 2: Perform the division Now we divide \( 856 \) by \( 4 \): - **Divide the first digit:** \( 4 \) goes into \( 8 \) two times (since \( 4 \times 2 = 8 \)). - **Subtract:** \( 8 - 8 = 0 \). - **Bring down the next digit:** Bring down \( 5 \) to make \( 05 \). - **Divide:** \( 4 \) goes into \( 5 \) one time (since \( 4 \times 1 = 4 \)). - **Subtract:** \( 5 - 4 = 1 \). - **Bring down the next digit:** Bring down \( 6 \) to make \( 16 \). - **Divide:** \( 4 \) goes into \( 16 \) four times (since \( 4 \times 4 = 16 \)). - **Subtract:** \( 16 - 16 = 0 \). So, \( 856 \div 4 = 214 \). ### Step 3: Place the decimal point Now we need to place the decimal point in our answer. In the original number \( 8.56 \), there are two digits after the decimal point. Therefore, we will place the decimal point in \( 214 \) two places from the right. So, \( 214 \) becomes \( 2.14 \). ### Final Answer Thus, \( 8.56 \div 4 = 2.14 \). ---
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