Subjects arithmetic

Decimal Division 4Cc247

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1. Let's start by understanding the problem: You want to divide decimals by whole numbers, as shown in your examples like $9.20 \div 5$, $5.6 \div 8$, and $3.000 \div 9$. 2. The general formula for division is: $$\text{Dividend} \div \text{Divisor} = \text{Quotient}$$ 3. Important rules when dividing decimals by whole numbers: - Move the decimal point straight up into the quotient (answer) when dividing. - Divide as if working with whole numbers. - Bring down digits one at a time. - If the dividend has fewer digits, add zeros as needed. 4. Example: Divide $9.20 \div 5$ - Step 1: Divide 9 by 5, which goes 1 time. Write 1 in the quotient. - Step 2: Multiply 1 by 5 = 5, subtract 9 - 5 = 4. - Step 3: Bring down 2 (from 9.20), making 42. - Step 4: Divide 42 by 5 = 8 times, write 8 in quotient. - Step 5: Multiply 8 by 5 = 40, subtract 42 - 40 = 2. - Step 6: Bring down 0, making 20. - Step 7: Divide 20 by 5 = 4 times, write 4 in quotient. - Step 8: Multiply 4 by 5 = 20, subtract 20 - 20 = 0. - Step 9: The quotient is 1.84. 5. The decimal point in the quotient is placed directly above the decimal point in the dividend. 6. So, $9.20 \div 5 = 1.84$. 7. You can apply the same steps to other problems like $5.6 \div 8 = 0.7$ and $3.000 \div 9 = 0.333$ (rounded). This method is sometimes humorously called DMSE (Do Monkeys Send Emails) to remember the order: Divide, Multiply, Subtract, Bring down the next digit, and repeat. Final answer for the first problem: $$9.20 \div 5 = 1.84$$