Question

(3 points) What is the product of 22×4 ? 20×4= 2×4= Therefore, 22×4=

Answer 1

Joshua is trying to find the product of 38 × 12. Which expression shows how Joshua could use place value to break up this problem and solve it?(1 point) Responses (32+6)×(10+2) open paren 32 plus 6 close paren times open paren 10 plus 2 close paren (31+7)×(11+1) open paren 31 plus 7 close paren times open paren 11 plus 1 close paren (30+8)×(11+1) open paren 30 plus 8 close paren times open paren 11 plus 1 close paren (30+8)×(10+2)

Answer 2

Multiply 45×81 by hand.(1 point) Responses 3,120 3,120 3,050 3,050 3,645 3,645 3,245

Answer 3

Jerome is finding the product of 589 × 12. His work is shown below. Which statement is true about Jerome’s work? (1 point) Responses Jerome solved the problem correctly. Jerome solved the problem correctly. Jerome forgot to carry the 1 when he multiplied 2 × 9. Jerome forgot to carry the 1 when he multiplied 2 × 9. Jerome forgot to use 0 as a placeholder. Jerome forgot to use 0 as a placeholder. Jerome added incorrectly.

Answer 4

To find the product of \( 22 \times 4 \), you can break it down as follows:

First, rewrite \( 22 \) as \( 20 + 2 \):

\[
22 \times 4 = (20 + 2) \times 4
\]

Now, apply the distributive property:

\[
= 20 \times 4 + 2 \times 4
\]

Now calculate each part:

\[
20 \times 4 = 80
\]
\[
2 \times 4 = 8
\]

Adding these together gives:

\[
80 + 8 = 88
\]

Therefore, \( 22 \times 4 = 88 \).

Answer 5

To break up the product of \( 38 \times 12 \) using place value, Joshua can rewrite the two numbers as follows:

- \( 38 \) can be expressed as \( 30 + 8 \)
- \( 12 \) can be expressed as \( 10 + 2 \)

So the correct expression would be:

\[
(30 + 8) \times (10 + 2)
\]

Thus, the correct answer is:

**(30 + 8) × (10 + 2)**.

Answer 6

To multiply \( 45 \times 81 \) by hand, we can break it down into simpler steps.

1. **Set up the multiplication:**
\[
45 \times 81
\]

2. **Break it down:**
We can decompose \( 81 \) into \( 80 + 1 \):
\[
45 \times (80 + 1) = 45 \times 80 + 45 \times 1
\]

3. **Calculate each part:**
- \( 45 \times 80 = 3600 \)
- \( 45 \times 1 = 45 \)

4. **Add the results:**
\[
3600 + 45 = 3645
\]

Therefore, \( 45 \times 81 = 3645 \).

The correct response is **3,645**.

Answer 7

To determine which statement is true about Jerome’s work on the problem \( 589 \times 12 \), we would need to check his multiplication step-by-step. However, since you didn't provide this specific work, I can't evaluate it without that detail.

Here's how you would normally verify Jerome's work:

1. **Perform the multiplication manually:**
- Multiply **2 (from 12) by 589**.
- Multiply **1 (from 12, which represents 10) by 589** and shift the result one position to the left (treating it as \( 589 \times 10 \)).

2. **Check for carrying:**
- In multiplying digits, if any digit exceeds 9, you need to carry over the 1 to the next left digit.

3. **Check for placeholders:**
- When multiplying by a tens place (like 10 in this case), ensure that the result shifts correctly (add a zero).

4. **Add the two products together.**

Based on these principles, if you provide specific steps or results from Jerome's calculation, I can help you identify which statement is true. If you have a particular outcome in mind, please share it, and I'll analyze it for you!