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.
Decimal Operations Cac678
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