Question

Ava solved the problem 7.4 x 1.2 with partial products. these are the first 3 steps.

7.0 x 1.0 = 7
7.0 x 0.2 = 1.4
0.4 x 1.0 = 0.4

Answer 1

Ava's method of solving 7.4 x 1.2 using partial products is a great way to break down the multiplication into manageable parts.

To find the product of 7.4 and 1.2, she began by breaking the numbers down:

1. **Calculate 7.0 x 1.0**:
- \(7.0 \times 1.0 = 7\)

2. **Calculate 7.0 x 0.2**:
- \(7.0 \times 0.2 = 1.4\)

3. **Calculate 0.4 x 1.0**:
- \(0.4 \times 1.0 = 0.4\)

Now, we can combine these partial products to find the total:

- Total = \(7 + 1.4 + 0.4\)

Now, let's add these three results together:

1. \(7 + 1.4 = 8.4\)
2. \(8.4 + 0.4 = 8.8\)

Thus, the product of 7.4 and 1.2 using partial products is:

**7.4 x 1.2 = 8.88**