Mathematics Grade 6 15 min

Division sentences up to 12: true or false?

Division sentences up to 12: true or false?

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Introduction & Learning Objectives

Learning Objectives Define a division sentence and its components. Accurately recall division facts up to 12. Evaluate the quotient in a given division sentence. Compare a calculated quotient with a stated quotient. Determine if a given division sentence is true or false. Identify and correct errors in false division sentences. Construct true division sentences using given numbers. Ever wonder if a math statement is telling the truth or a fib? 🤔 Today, we'll become math detectives to check if division sentences are true or false! In this lesson, you'll learn how to evaluate division sentences involving numbers up to 12 and determine their truthfulness. This skill strengthens your understanding of division and logical reasoning, which are fundamental in all area...
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Key Concepts & Vocabulary

TermDefinitionExample Division SentenceA mathematical statement that shows a division operation, typically in the format: Dividend ÷ Divisor = Quotient.For example, 24 ÷ 6 = 4 is a division sentence. DividendThe number that is being divided in a division operation.In the sentence 36 ÷ 4 = 9, the dividend is 36. DivisorThe number by which the dividend is divided.In the sentence 36 ÷ 4 = 9, the divisor is 4. QuotientThe result obtained from a division operation.In the sentence 36 ÷ 4 = 9, the quotient is 9. True SentenceA mathematical statement where both sides of the equality sign (=) are equivalent in value.The sentence 12 ÷ 3 = 4 is true because 12 divided by 3 is indeed 4. False SentenceA mathematical statement where both sides of the equality sign (=) are not equivalent in value.The se...
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Core Formulas

Division as Inverse of Multiplication $a \div b = c \iff b \times c = a$ (where $b \neq 0$) This rule states that division is the inverse operation of multiplication. To check if a division sentence is true, you can multiply the stated quotient by the divisor; if the product equals the dividend, the sentence is true. Evaluating and Comparing for Truth Value For a division sentence $D \div V = Q$, calculate the actual value of $D \div V$. If this calculated value equals $Q$, the sentence is true. Otherwise, it is false. The most direct method to determine truth is to perform the division on the left side of the equality and then compare the result to the number on the right side. Division by Zero (Undefined) $a \div 0$ is undefined. Any division sentence where the div...

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Sample Practice Questions

Challenging
The sentences 108 ÷ 9 = 12 and 108 ÷ 12 = 9 are both true. This pair of sentences demonstrates that:
A.Division is commutative.
B.There is an inverse relationship between multiplication and division.
C.Any number can be a dividend, divisor, or quotient.
D.108 is a special number.
Challenging
A division sentence D ÷ V = Q is false. The actual quotient is Q + 2. If the divisor V = 8, what is the relationship between the dividend D and the product 8 × Q?
A.= 8Q + 16
B.= 8Q - 16
C.= 8Q + 2
D.= 8Q
Challenging
I am thinking of a dividend. When I divide it by 9, the stated quotient in a false sentence is 7. The correct quotient is actually 8. What is the dividend I am thinking of?
A.56
B.63
C.81
D.72

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