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Evaluate: 35.28 div 245...

Evaluate:
`35.28 div 245`

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The correct Answer is:
To evaluate \( 35.28 \div 245 \), we will follow these steps: ### Step 1: Set up the division We start by writing the division in the standard format, where \( 35.28 \) is the dividend (inside) and \( 245 \) is the divisor (outside). ### Step 2: Handle the decimal point Since \( 35.28 \) has two decimal places, we can multiply both the dividend and the divisor by \( 100 \) to eliminate the decimal. This gives us: \[ 3528 \div 245 \] ### Step 3: Perform the division Now we will divide \( 3528 \) by \( 245 \). 1. **Estimate how many times \( 245 \) fits into \( 3528 \)**: - \( 245 \times 1 = 245 \) - \( 245 \times 2 = 490 \) - \( 245 \times 3 = 735 \) - \( 245 \times 4 = 980 \) - \( 245 \times 5 = 1225 \) - \( 245 \times 6 = 1470 \) - \( 245 \times 7 = 1715 \) - \( 245 \times 8 = 1960 \) - \( 245 \times 9 = 2205 \) - \( 245 \times 10 = 2450 \) - \( 245 \times 11 = 2695 \) - \( 245 \times 12 = 2940 \) - \( 245 \times 13 = 3185 \) - \( 245 \times 14 = 3430 \) - \( 245 \times 15 = 3675 \) (too high) From this, we see that \( 245 \) fits into \( 3528 \) a total of \( 14 \) times. 2. **Multiply and subtract**: - \( 245 \times 14 = 3430 \) - Subtract \( 3430 \) from \( 3528 \): \[ 3528 - 3430 = 98 \] 3. **Bring down the next digit**: - Since \( 3528 \) has no more digits, we can add a decimal point and a zero, making it \( 980 \). 4. **Divide again**: - Now we divide \( 980 \) by \( 245 \): - \( 245 \times 4 = 980 \) - Subtract \( 980 \) from \( 980 \): \[ 980 - 980 = 0 \] ### Step 4: Write the final answer Since there are no more digits to bring down and the remainder is \( 0 \), we conclude that: \[ 35.28 \div 245 = 0.144 \] ### Final Answer: \[ \text{The answer is } 0.144 \] ---
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