Question

For problems 7-8 use one of the multiplication strategies you learned to solve the problem.

23.4 x 5
:

4.25 x 6.2
:

Answer 1

To solve these multiplication problems using a strategy, let's break them down step by step.

**Problem 7: \( 23.4 \times 5 \)**

We can use the distributive property to break this down:

1. Rewrite \( 23.4 \) as \( 20 + 3.4 \).
2. Now, distribute \( 5 \):
\[
23.4 \times 5 = (20 + 3.4) \times 5 = (20 \times 5) + (3.4 \times 5)
\]
3. Calculate each part:
\[
20 \times 5 = 100
\]
\[
3.4 \times 5 = 17
\]
4. Add the results:
\[
100 + 17 = 117
\]

So, \( 23.4 \times 5 = 117 \).

---

**Problem 8: \( 4.25 \times 6.2 \)**

We can also use the distributive property here:

1. Rewrite \( 4.25 \) and \( 6.2 \):
- \( 4.25 = 4 + 0.25 \)
- \( 6.2 = 6 + 0.2 \)

2. Apply the distributive property:
\[
4.25 \times 6.2 = (4 + 0.25) \times (6 + 0.2)
\]
This expands to:
\[
= 4 \times 6 + 4 \times 0.2 + 0.25 \times 6 + 0.25 \times 0.2
\]

3. Calculate each part:
\[
4 \times 6 = 24
\]
\[
4 \times 0.2 = 0.8
\]
\[
0.25 \times 6 = 1.5
\]
\[
0.25 \times 0.2 = 0.05
\]

4. Now add them all together:
\[
24 + 0.8 + 1.5 + 0.05 = 26.35
\]

So, \( 4.25 \times 6.2 = 26.35 \).

In summary:
- \( 23.4 \times 5 = 117 \)
- \( 4.25 \times 6.2 = 26.35 \)