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O.3 Multiplication sentences up to 12: true or false

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What is a multiplication sentence?

A multiplication sentence is a mathematical statement that shows the relationship between factors and their product. It uses numbers and symbols to express a multiplication fact.

Examples:
  • 4 × 3 = 12
  • 7 × 2 = 14
  • 5 × 5 = 25
Note

A complete multiplication sentence always has an equals sign and a product. Think of it as telling a full story: “Four groups of three makes twelve.”

Parts of a multiplication sentence

Every multiplication sentence has three key parts: the factors (the numbers being multiplied) and the product (the answer).

Breaking it down:
  • Factors: 6 and 4 in 6 × 4
  • Multiplication Symbol: ×
  • Product: 24 in 6 × 4 = 24
Note

The order of the factors does not change the product. This is called the commutative property. For example, 6 × 4 and 4 × 6 both equal 24.

Determining if a sentence is true or false

A multiplication sentence is true if the product on the right side of the equals sign is the correct answer to the multiplication problem on the left. It is false if the product is incorrect.

Examples:
  • True: 8 × 3 = 24 because eight groups of three equals twenty-four.
  • False: 9 × 2 = 19 because nine groups of two equals eighteen, not nineteen.
Note

To check, solve the multiplication fact yourself. Compare your answer to the product given in the sentence. If they match, it’s true!

Strategies for solving up to 12

Use known strategies like repeated addition, arrays, or skip counting to quickly find products and verify if a multiplication sentence is true or false.

How to solve:
  • For 7 × 4: Think 7 + 7 + 7 + 7 = 28, or skip count by 4s seven times.
  • For 11 × 3: Think 10 × 3 = 30, then add one more group of 3 to get 33.
Note

Knowing your multiplication facts from 0 to 12 fluently is the fastest way to determine if a sentence is true or false. Practice makes perfect!

Applying your knowledge

Now you can use your skills to analyze any multiplication sentence. Remember to read the whole sentence carefully before deciding.

Practice thinking:
  • Is 12 × 1 = 12? True. Any number times one is itself.
  • Is 5 × 6 = 35? False. The correct product is 30.
  • Is 0 × 9 = 9? False. Any number times zero is zero.
Note

Watch for tricky sentences! A common mistake is mixing up facts, like 6 × 7 and 6 × 8. Always double-check your mental math.