Partial Products in Multiplication: 4.0 - Number - Mathematics ... - Free Printable

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To solve the multiplication problem 2.1 × 4.7, we can break it down using the area model shown in the image. This method splits each number into its whole and decimal parts:

- 2.1 becomes 2 + 0.1
- 4.7 becomes 4 + 0.7

Now, multiply each part of the first number by each part of the second number:

1. Multiply 2 × 4 = 8
2. Multiply 2 × 0.7 = 1.4
3. Multiply 0.1 × 4 = 0.4
4. Multiply 0.1 × 0.7 = 0.07

Now add all these results together:

8 + 1.4 = 9.4
9.4 + 0.4 = 9.8
9.8 + 0.07 = 9.87

So, 2.1 × 4.7 = 9.87

Final Answer:
9.87

Parent Tip: Review the logic above to help your child master the concept of area model multiplication with decimals.

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