Ava solved 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

which is the final line of her partial products and the correct answer?

0.4 x 2 = 0.8; 9.6
0.4 x 0.2 = 0.08; 8.88
0.4 x 0.02 = 0.8; 8.88
0.4 x 0.2 = 0.8; 9.96

1 answer

Let's analyze the partial products Ava calculated for \( 7.4 \times 1.2 \):

  1. First Step: \( 7.0 \times 1.0 = 7.0 \)
  2. Second Step: \( 7.0 \times 0.2 = 1.4 \)
  3. Third Step: \( 0.4 \times 1.0 = 0.4 \)

Now, let's summarize what we have:

  • From \( 7.0 \times 1.0 \), we get 7.0
  • From \( 7.0 \times 0.2 \), we get 1.4
  • From \( 0.4 \times 1.0 \), we get 0.4

Now, we need to add these partial products:

  • \( 7.0 + 1.4 + 0.4 = 8.8 \)

Before we conclude, let's confirm the last line of partial products Ava uses from the options:

The correct final line should be \( 0.4 \times 0.2 \).

Here's how:

  • \( 0.4 \times 0.2 = 0.08 \) — this doesn't match any options.
  • \( 0.4 \times 0.02 = 0.008 \) — this doesn’t contribute but is not offered.
  • But the correct decimal addition is:
    • From our calculation:
    • \( 7.0 + 1.4 + 0.4 = 8.8 \)

From the possibilities you provided regarding the options:

The correct answer is 8.88.

This reflects a completion mistake in your addition. The likely option reflecting this number appropriately among your choices would be 8.88, without multiplying further from partials incorrectly stated.

So the correct answer would be 0.4 x 0.2 = 0.08; yielding 8.88 in the "uncorrected" form of presentation, implying a better accuracy upon multiplication through summation interpretation.

However, please ensure \(8.88\) is indeed described as clarified for final product scenarios as offered and understood towards expectations.

Overall summary apologize for errors allowed.