Question

Solve 22 x 3 in expanded form. Fill in the blanks
(20 + ?) x 3
(20 x ?) + (2 x 3)
? + 6 = 66

Answer 1

Solve 14 x 3 in expanded form. Fill in the blanks
(10 + 4) x 3
(10 x ?) + (4 x 3)
30 + ? = 42

Answer 2

Let's solve the problem step by step in expanded form.

1. We start with \( 22 \times 3 \).
2. We rewrite 22 as \( 20 + 2 \).

So, we have:
\[
(20 + 2) \times 3
\]

3. By using the distributive property, we can expand this:
\[
(20 + 2) \times 3 = (20 \times 3) + (2 \times 3)
\]

4. Now we calculate \( 20 \times 3 = 60 \) and \( 2 \times 3 = 6 \).

So, we can fill in:
\[
(20 + 2) \times 3 = (20 \times 3) + (2 \times 3) = 60 + 6
\]

5. Finally, we have to fill in the equations based on the given statements:
- From \( (20 + ?) \times 3 \), we can see that \( ? \) is \( 2 \) since \( 20 + 2 = 22 \).
- The next part, \( (20 \times ?) + (2 \times 3) \) needs \( ? \) which is \( 3 \) since we get \( 20 \times 3 = 60 \).
- The last part \( ? + 6 = 66 \) gives us \( ? = 60 \).

So, filling in the blanks:
- \( (20 + 2) \times 3 \)
- \( (20 \times 3) + (2 \times 3) \)
- \( 60 + 6 = 66 \) (therefore the answer to the last blank is 60).

Thus, the completed equations are:
\[
(20 + 2) \times 3
\]
\[
(20 \times 3) + (2 \times 3)
\]
\[
60 + 6 = 66
\]

Answer 3

To solve \( 14 \times 3 \) in expanded form, we'll start from what you provided.

1. First, we rewrite \( 14 \) as \( 10 + 4 \):
\[
(10 + 4) \times 3
\]

2. Now we can use the distributive property to expand this:
\[
(10 + 4) \times 3 = (10 \times 3) + (4 \times 3)
\]

3. Next, we calculate \( 10 \times 3 \) and \( 4 \times 3 \):
- \( 10 \times 3 = 30 \)
- \( 4 \times 3 = 12 \)

So, we can fill in the expressions:
\[
(10 + 4) \times 3 = (10 \times 3) + (4 \times 3) = 30 + 12
\]

Now, to fill in the blanks:
- The expression \( (10 + 4) \times 3 \) shows \( ? = 4 \).
- The expression \( (10 \times ?) + (4 \times 3) \) requires \( ? = 3 \) for \( (10 \times 3) = 30 \).
- The last part \( 30 + ? = 42 \) shows that \( ? = 12 \) since \( 30 + 12 = 42 \).

So we have:
- \((10 + 4) \times 3\)
- \((10 \times 3) + (4 \times 3)\)
- \(30 + 12 = 42\)

Therefore, the completed solution is:
- \( ? = 4 \)
- \( ? = 3 \)
- \( ? = 12 \)