Recall multiplication facts for 0 and 1

For whole-number factors from 0 through 10, multiplication by 0 always produces 0, while multiplication by 1 preserves the other factor: $0 \times n=n \times 0=0$ and $1 \times n=n \times 1=n$ . These identity and zero properties support efficient recall, interpretation of arrays, and later multiplication reasoning; this scope excludes negative numbers, variables, and formal algebraic generalizations.

Detailed Explanation: Recall multiplication facts for 0 and 1

Multiplication by $0$ and $1$ follows two easy rules:

Any whole number multiplied by $0$ equals $0$ :

0\times n=0 \qquad \text{and}\qquad n\times0=0.

Any whole number multiplied by $1$ stays the same:

1\times n=n \qquad \text{and}\qquad n\times1=n.

Worked example

Find $0\times 8$ and $1\times 8$ .

For $0\times 8$ , think of zero groups of 8. There are no groups, so the answer is $0$ :

0\times 8=0.

For $1\times 8$ , think of one group of 8. That group has 8, so the answer stays 8:

1\times 8=8.

So, multiplying by $0$ gives $0$ , and multiplying by $1$ keeps the other factor the same.

Learn by doing: Recall multiplication facts for 0 and 1

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Multiplication - Times Table Practice

Earned ?