This knowledge includes accurate, efficient recall of products for whole-number factors from 0 through 10, with products up to 100, and recognition that multiplication represents equal groups, arrays, and repeated addition. It includes using commutativity and related facts to connect products (for example, ) while distinguishing multiplication from addition; factors beyond 10 and more general symbolic rules are not included. These facts support division, multi-digit multiplication, and fraction reasoning.
Multiplication tells how many objects are in equal groups. The two numbers are called factors, and the answer is the product.
To find a multiplication fact:
Example: Find .
means 7 groups of 3.
Think of it as repeated addition:
So,
You can also use the related fact . Switching the factors changes the arrangement of the groups, but not the total. Thus, both facts have the same product:
Practice recalling facts with factors from through . For example, because zero groups contain zero objects, and because ten groups of six make sixty.
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