Question

Finding Products by "Breaking It Up"
What is the product of 14 × 3?
Expanded form:

Answer 1

To find the product of \( 14 \times 3 \) using the method of "breaking it up," we can break down the number 14 into smaller components.

We can express 14 as:

\[
14 = 10 + 4
\]

Now, we can use the distributive property to multiply each part by 3:

\[
14 \times 3 = (10 + 4) \times 3 = (10 \times 3) + (4 \times 3)
\]

Now we can calculate each part:

\[
10 \times 3 = 30
\]
\[
4 \times 3 = 12
\]

Now we add those two results together:

\[
30 + 12 = 42
\]

So, the final product of \( 14 \times 3 \) is:

\[
\boxed{42}
\]

In expanded form, we have shown:

\[
14 \times 3 = (10 + 4) \times 3 = (10 \times 3) + (4 \times 3) = 30 + 12 = 42
\]