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💡 Tip: When you multiply a tenth by a tenth, the answer has two decimal places (hundredths).
Example: 0.3 × 0.4 → 3 × 4 = 12 → place 2 decimal places → 0.12
1 Multiply the Decimals
Multiply, then place the decimal point. Count the total decimal places in both factors.
0.2 × 0.3 =
0.5 × 0.4 =
0.7 × 0.6 =
0.9 × 0.8 =
1.2 × 0.3 =
2.5 × 0.4 =
3.1 × 0.7 =
4.8 × 0.5 =
0.6 × 1.5 =
2.4 × 1.3 =
3.5 × 2.1 =
4.2 × 1.6 =
2 Line Up & Multiply ⬇️
Ignore the decimal while multiplying, then place the point in the answer.
3 Place the Decimal Point 📍
The digits are correct but the decimal point is missing. Write the answer with the point in the right place.
0.4 × 0.7 = 28 →
1.3 × 0.5 = 65 →
2.6 × 0.9 = 234 →
3.2 × 4.1 = 1312 →
0.5 × 0.5 = 25 →
6.3 × 1.7 = 1071 →
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4 Estimate, Then Multiply 🧠
First estimate the answer, then compute the exact product.
2.9 × 3.1
Estimate: ≈
Exact: =
4.8 × 1.9
Estimate: ≈
Exact: =
0.6 × 9.2
Estimate: ≈
Exact: =
5.1 × 2.8
Estimate: ≈
Exact: =
7.3 × 0.4
Estimate: ≈
Exact: =
1.1 × 8.7
Estimate: ≈
Exact: =
5 Find the Missing Factor 🔍
What decimal goes in the blank?
0.3 × = 0.15
× 0.8 = 0.56
1.5 × = 0.75
× 0.4 = 1.00
2.5 × = 5.00
× 1.2 = 3.60
6 Word Problems 📖
Write the equation and solve.
- 1. A square tile is 0.3 m on each side. What is its area?
Equation: Answer: m²
- 2. A recipe calls for 0.5 cups of sugar. Lily needs 1.5 times that amount. How much sugar does she need?
Equation: Answer: cups
- 3. A car travels 4.2 km on 0.6 liters of fuel. How many liters does it use per km? (Hint: 0.6 ÷ 4.2 — but verify: 4.2 × ___ = 0.6)
Equation: Answer: ≈ L/km
- 4. A park is 3.5 km long and 1.8 km wide. What is the area of the park?
Equation: Answer: km²
Ex 1: 0.06, 0.20, 0.42, 0.72, 0.36, 1.00, 2.17, 2.40, 0.90, 3.12, 7.35, 6.72
Ex 2: 0.48, 1.26, 8.25, 6.72, 28.12
Ex 3: 0.28, 0.65, 2.34, 13.12, 0.25, 10.71
Ex 4: ≈9/8.99, ≈10/9.12, ≈6/5.52, ≈15/14.28, ≈3/2.92, ≈9/9.57
Ex 5: 0.5, 0.7, 0.5, 2.5, 2.0, 3.0
Ex 6: 0.09 m², 0.75 cups, ≈0.14 L/km, 6.30 km²