Subjects arithmetic

Decimal Operations Cac678

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1. **Stating the problem:** We will learn how to multiply and divide decimals. 2. **Multiplying decimals:** - When multiplying decimals, multiply as if they were whole numbers. - Count the total number of decimal places in both numbers. - Place the decimal point in the product so it has the same total number of decimal places. 3. **Example of multiplying decimals:** Multiply $2.5 \times 0.4$. - Ignore decimals: $25 \times 4 = 100$. - Count decimal places: $2.5$ has 1 decimal place, $0.4$ has 1 decimal place, total 2. - Place decimal: $100$ with 2 decimal places is $1.00$. - So, $2.5 \times 0.4 = 1.00$. 4. **Dividing decimals:** - To divide decimals, make the divisor a whole number by moving the decimal point to the right. - Move the decimal point in the dividend the same number of places. - Then divide as usual. 5. **Example of dividing decimals:** Divide $4.8 \div 0.2$. - Move decimal in divisor $0.2$ one place right to get $2$. - Move decimal in dividend $4.8$ one place right to get $48$. - Divide $48 \div 2 = 24$. - So, $4.8 \div 0.2 = 24$. 6. **Summary:** - Multiply decimals by ignoring decimals, multiply, then place decimal. - Divide decimals by making divisor whole, adjusting dividend, then dividing. This lesson helps understand decimal multiplication and division clearly.