Skill: Recall multiplication facts for 9

Explanation and Free Practice Resources

This skill encompasses the products of 9 multiplied by whole-number factors from 0 through 10, including interpreting each fact as equal groups, an array, or repeated addition and connecting related facts through commutativity. Learners can use the structure 9×n=10×n−n9 \times n = 10 \times n - n to reason about and recall these products, supporting later multiplication, division, and place-value reasoning; factors beyond 10 and more general multiples of 9 are not included.

Detailed Explanation: Recall multiplication facts for 9

To recall a fact with 99, think of (10)(10) groups and take away one group:

9×n=10×n−n9 \times n = 10 \times n - n

Example: Find (9×6)(9 \times 6).

  1. Think of (10×6)(10 \times 6):

10×6=60 10 \times 6 = 60
  1. Take away one group of 66:

60−6=54 60 - 6 = 54
  1. So,

9×6=54 9 \times 6 = 54

This also means 99 equal groups of 66 make (54)(54). By switching the factors, you know the related fact:

6×9=546 \times 9 = 54

Learn by doing: Recall multiplication facts for 9

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