Skill: Multiply a 3-digit number by a 2-digit number

To multiply a 3-digit number by a 2-digit number, break the 2-digit number into tens and ones. Then multiply the 3-digit number by each part and add the partial products.

Example: Find $347 \times 26$.

1. Decompose the 2-digit number

The number $26$ has $2$ tens and $6$ ones:

$$26=20+6$$

So,

$$347 \times 26=347 \times (20+6)$$

2. Find the partial products

Multiply by the ones:

$$347 \times 6=2{,}082$$

Multiply by the tens:

$$347 \times 20=6{,}940$$

The zero appears because $20$ is $2$ tens, not $2$ ones.

3. Add the partial products

$$\begin{array}{r} 2{,}082\\ + 6{,}940\\ \hline 9{,}022 \end{array}$$

Therefore,

$$\boxed{347 \times 26=9{,}022}$$

Using the standard algorithm, the work looks like this:

$$\begin{array}{r} \ \ 347\\ \times\ \ 26\\ \hline 2{,}082 \quad \text{(347 times 6)}\\ + 6{,}940 \quad \text{(347 times 20)}\\ \hline 9{,}022 \end{array}$$

The second row is shifted one place to the left because it represents tens.

You can estimate to check your answer:

$$347 \times 26 \approx 350 \times 30=10{,}500$$

Since $9{,}022$ is reasonably close to $10{,}500$, the answer makes sense.