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