Skill: Recall multiplication facts for 0 and 1

Explanation and Free Practice Resources

For whole-number factors from 0 through 10, multiplication by 0 always produces 0, while multiplication by 1 preserves the other factor: 0×n=n×0=00 \times n=n \times 0=0 and 1×n=n×1=n1 \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 00 and 11 follows two easy rules:

  • Any whole number multiplied by 00 equals 00:
0×n=0andn×0=0.0\times n=0 \qquad \text{and}\qquad n\times0=0.
  • Any whole number multiplied by 11 stays the same:
1×n=nandn×1=n.1\times n=n \qquad \text{and}\qquad n\times1=n.

Worked example

Find 0×80\times 8 and 1×81\times 8.

  1. For 0×80\times 8, think of zero groups of 8. There are no groups, so the answer is 00:
0×8=0.0\times 8=0.
  1. For 1×81\times 8, think of one group of 8. That group has 8, so the answer stays 8:
1×8=8.1\times 8=8.

So, multiplying by 00 gives 00, and multiplying by 11 keeps the other factor the same.

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