Mathematics Grade 7 15 min

Multiplication facts for 6, 7, 8, and 9: true or false?

Multiplication facts for 6, 7, 8, and 9: true or false?

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Introduction & Learning Objectives

Learning Objectives Accurately identify if a given multiplication statement involving factors 6, 7, 8, or 9 is true or false. Recall multiplication products for factors 6, 7, 8, and 9 with increased fluency. Apply properties of multiplication (e.g., commutative, distributive) to verify multiplication facts. Explain the reasoning behind determining a multiplication fact as true or false. Correct false multiplication statements involving factors 6, 7, 8, and 9. Use mental math strategies to quickly check the validity of multiplication facts. Ever wondered if you can spot a math mistake faster than a calculator? 🧐 Let's sharpen our minds to quickly check multiplication facts! In this lesson, you'll learn to confidently identify whether multiplication statements for...
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Key Concepts & Vocabulary

TermDefinitionExample Multiplication FactA basic multiplication equation involving two single-digit numbers and their product, often memorized for quick recall.$6 \times 8 = 48$ is a multiplication fact. ProductThe result obtained when two or more numbers are multiplied together.In $7 \times 9 = 63$, the number 63 is the product. FactorA number that is multiplied by another number to get a product.In $8 \times 7 = 56$, the numbers 8 and 7 are factors. True StatementA mathematical statement that is correct and accurately represents a mathematical relationship.$9 \times 6 = 54$ is a true statement because the product of 9 and 6 is indeed 54. False StatementA mathematical statement that is incorrect or inaccurate, meaning the stated relationship is not mathematically valid.$7 \times 8 = 54$...
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Core Formulas

Commutative Property of Multiplication $a \times b = b \times a$ This rule allows you to swap the order of numbers being multiplied without changing the final product. If you know $6 \times 7 = 42$, you also know $7 \times 6 = 42$. Distributive Property of Multiplication $a \times (b + c) = (a \times b) + (a \times c)$ This rule helps break down larger multiplication problems into smaller, easier ones. For example, to find $7 \times 8$, you can think of it as $7 \times (5 + 3) = (7 \times 5) + (7 \times 3) = 35 + 21 = 56$. Identity Property of Multiplication $a \times 1 = a$ Any number multiplied by 1 remains itself. This is useful for checking facts like $6 \times 1 = 6$. Zero Property of Multiplication $a \times 0 = 0$ Any number multiplied by 0 results in...

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Sample Practice Questions

Challenging
To find $8 imes 7$, a student thinks, 'I know $8 imes 8 = 64$. Since 7 is one less than 8, I'll subtract 1 from 64 to get 63.' This leads them to state $8 imes 7 = 63$ is true. Why is their mental math strategy incorrect?
A.Their strategy is correct, but their subtraction is wrong; 64 - 1 = 62.
B.They should have subtracted 7 from 64, not 1.
C.They should have subtracted 8 from 64, not 1.
D.They should have added 1 to 64, not subtracted.
Challenging
A rule for multiplying by 9 is that the sum of the digits in the product equals 9. For example, $9 \times 4 = 36$, and $3+6=9$. Using this rule, which of the following statements must be false?
A.9 × 8 = 72
B.9 × 6 = 54
C.9 × 7 = 62
D.9 × 2 = 18
Challenging
Given the false statement $9 imes 8 = 71$, which single change to one of the numbers in the statement will make it true?
A.Change the factor 9 to 7.
B.Change the factor 8 to 7.
C.Change the product 71 to 72.
D.Change the product 71 to 63.

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