Question

Ava solved the problem 7.4 × 1.2 with partial products. These are the first 3 steps.

7.0 × 1.0 = 7
7.0 × 0.2 = 1.4
0.4 × 1.0 = 0.4

Which is the final line of her partial product and the correct answer?

A) 0.4 × 2 = 0.8; 9.6
B) 0.4 × 0.2 = 0.08; 8.88
C) 0.4 × 0.02 = 0.08; 8.88
D) 0.4 × 0.2 = 0.8; 9.96

Answer 1

To find the final line of Ava's partial product for the problem \(7.4 \times 1.2\), we need to break down the multiplication using partial products correctly.

We have already calculated:
1. \(7.0 \times 1.0 = 7\)
2. \(7.0 \times 0.2 = 1.4\)
3. \(0.4 \times 1.0 = 0.4\)

Now we need to calculate the final piece of the problem by multiplying:
- \(0.4\) (which is from \(0.4\) in \(7.4\)) by \(0.2\) (which is from \(1.2\)).

So, we need to compute:
\[
0.4 \times 0.2
\]
Calculating this,
\[
0.4 \times 0.2 = 0.08
\]

Now we can sum up all the partial products:
1. \(7\)
2. \(1.4\)
3. \(0.4\)
4. \(0.08\)

Adding these together:
\[
7 + 1.4 + 0.4 + 0.08 = 8.88
\]

Thus, the correct final line of Ava's partial product would indeed be:

**C) \(0.4 \times 0.2 = 0.08; 8.88\)**

So the answer is: **C**.