Skill: Recall multiplication facts through 12 × 12

Explanation and Free Practice Resources

This understanding comprises reliable recall of products for whole-number factors from 0 through 12, interpreting each fact as equal groups or an array and recognizing equivalent facts formed by commutativity, such as 3 × 8 and 8 × 3. Relationships involving doubling and products with 0, 1, 10, and 11 connect facts and support division facts, multi-digit multiplication, and later fraction and measurement reasoning. The scope excludes factors greater than 12 and more generalized algebraic treatment.

Detailed Explanation: Recall multiplication facts through 12 × 12

Multiplication facts tell how many objects are in equal groups. To recall a fact, use a fact you already know and break the problem into easier parts.

Example: Find 7×87 \times 8.

  1. Think of 7×87 \times 8 as 77 equal groups of 88:

8+8+8+8+8+8+88+8+8+8+8+8+8
  1. Use a fact you know. Break 77 into 5+25+2:

7×8=(5×8)+(2×8)7 \times 8=(5 \times 8)+(2 \times 8)
  1. Recall each smaller fact:

5×8=40and2×8=165 \times 8=40 \quad\text{and}\quad 2 \times 8=16
  1. Add the products:

40+16=5640+16=56

So,

7×8=56\boxed{7 \times 8=56}

You can also remember that the order of the factors does not change the product:

8×7=7×8=568 \times 7=7 \times 8=56

Practice saying the fact aloud: “Seven times eight equals fifty-six.”

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