Mathematics Grade 3 15 min

Multiplication sentences up to 12: true or false?

Multiplication sentences up to 12: true or false?

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Introduction & Learning Objectives

Learning Objectives Identify the factors and product in a multiplication sentence. Define what makes a multiplication sentence 'true' or 'false'. Calculate the product of two factors with values up to 12. Evaluate a given multiplication sentence to determine if it is true or false. Correct a false multiplication sentence by finding the correct product. Explain why a multiplication sentence is true or false using words or drawings. If a friend told you that 4 packs of 6 juice boxes equals 25 juice boxes, would they be right? 🤔 Let's become math detectives and find out! In this lesson, we will learn how to check if multiplication sentences are correct (true) or incorrect (false). This is a very important skill that helps you check your work and becom...
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Key Concepts & Vocabulary

TermDefinitionExample Multiplication SentenceA number sentence that uses the multiplication sign (×) to show that you are joining equal groups.`4 × 5 = 20` is a multiplication sentence. It reads 'four times five equals twenty'. FactorsThe numbers that are being multiplied together in a multiplication sentence.In `6 × 7 = 42`, the factors are 6 and 7. ProductThe answer to a multiplication problem.In `6 × 7 = 42`, the product is 42. Equals Sign (=)A symbol that means 'is the same amount as'. It shows that the value on the left side is the same as the value on the right side.In `3 × 8 = 24`, the value of `3 × 8` is the same as 24. True SentenceA number sentence where the value on the left of the equals sign is exactly the same as the value on the right.`5 × 10 = 50` is a...
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Core Formulas

The Truth Test `factor_1 × factor_2 = product` To check if a sentence is true, you must calculate the left side (`factor_1 × factor_2`). If your answer is exactly the same as the `product` written on the right side, the sentence is true. If it's different, the sentence is false. Commutative Property (The Order Property) `a × b = b × a` This rule tells us that you can switch the order of the factors and the product will stay the same. This is helpful because if you don't know `11 × 4`, you might know `4 × 11`!

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Sample Practice Questions

Challenging
The sentence `8 × 10 = 88` is false. One way to make it true is to change the product to 80. What is another way to make a true sentence by changing ONLY the factor 10?
A.Change 10 to 9.
B.Change 10 to 11.
C.Change 10 to 12.
D.Change 10 to 8.
Challenging
A true multiplication sentence has 7 as one of its factors. The product is 63. Which of these sentences is the TRUE one?
A.7 × 7 = 63
B.7 × 8 = 63
C.7 × 10 = 63
D.7 × 9 = 63
Challenging
If `a × b = c` is a true multiplication sentence, which of the following sentences is ALWAYS true because of the Order Property?
A.a + b = c
B.b × a = c
C.c × a = b
D.a × c = b

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