Mathematics
Grade 6
15 min
Multiplication and division sentences up to 12: true or false?
Multiplication and division sentences up to 12: true or false?
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Introduction & Learning Objectives
Learning Objectives
Identify multiplication and division sentences.
Accurately evaluate the truthfulness of multiplication sentences up to 12x12.
Accurately evaluate the truthfulness of division sentences up to 144/12.
Apply inverse operations to verify multiplication and division sentences.
Correct false multiplication and division sentences.
Explain the reasoning behind determining if a mathematical sentence is true or false.
Ever wonder if a math statement is always right? 🤔 Let's become detectives and uncover the truth behind multiplication and division sentences!
In this lesson, you'll learn how to determine if multiplication and division sentences involving numbers up to 12 are true or false. This skill strengthens your number sense, critical thinking, and...
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Key Concepts & Vocabulary
TermDefinitionExample
Multiplication SentenceA mathematical statement that shows the product of two or more numbers, typically in the form of an equation (e.g., a x b = c).The sentence '6 x 8 = 48' is a multiplication sentence.
Division SentenceA mathematical statement that shows the result of dividing one number by another, typically in the form of an equation (e.g., a ÷ b = c).The sentence '56 ÷ 7 = 8' is a division sentence.
True SentenceA mathematical statement where both sides of the equals sign (=) have the exact same value.The sentence '5 x 9 = 45' is a true sentence because 45 equals 45.
False SentenceA mathematical statement where both sides of the equals sign (=) do not have the same value.The sentence '72 ÷ 8 = 7' is a false sentence beca...
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Core Formulas
Multiplication Truth Check
$a \times b = c$
To determine if a multiplication sentence is true, calculate the product of 'a' and 'b'. If this calculated product is equal to 'c', the sentence is true. Otherwise, it is false.
Division Truth Check
$a \div b = c$
To determine if a division sentence is true, calculate the quotient of 'a' divided by 'b'. If this calculated quotient is equal to 'c', the sentence is true. Otherwise, it is false.
Inverse Operation Check (Division from Multiplication)
If $a \times b = c$, then $c \div b = a$ (and $c \div a = b$)
You can verify a multiplication sentence by dividing the product by one of the factors. The result should be the other factor. This helps confirm the original...
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Sign Up Free to ContinueSample Practice Questions
Challenging
Evaluate the truthfulness of the following sentence: '(4 x 3) x 5 = 120 ÷ 2'.
A.True, because 60 = 60.
B.False, because 60 ≠70.
C.False, because 12 x 5 = 65.
D.True, because 120 = 120.
Challenging
If 'a × b = c' represents a true multiplication sentence where 'a' and 'b' are positive integers, which of the following related sentences is NOT guaranteed to be true?
A.b × a = c
B.c ÷ a = b
C.a ÷ c = b
D.c ÷ b = a
Challenging
A student states that the sentence '144 ÷ 9 = 14' is false. They correctly check this using '14 x 9 = 126'. They then conclude that the correct true sentence must be '144 ÷ 12 = 12'. What is the logical flaw in their conclusion?
A.Their check of 14 x 9 is incorrect.
B.They found a true sentence, but it doesn't logically follow from only proving the first sentence false.
C.The sentence '144 ÷ 12 = 12' is also false.
D.They should have added the numbers instead of dividing.
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