Math Gr 8 Ch 1: Properties of Whole Numbers

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What is the commutative property of addition?

$a + b = a - b$

$a + b = 2a$

$a + b = a imes b$

$a + b = b + a$ (correct)

What is the associative property of multiplication?

$a imes (b imes c) = (a imes b) imes c$ (correct)

$a imes b imes c = a imes (b + c)$

$a imes b + a imes c = a imes (b + c)$

$a imes (b + c) = a imes b + a imes c$

What is the distributive property of multiplication over addition?

$a imes (b + c) = a imes b imes a imes c$

$a imes (b + c) = a imes (b - c)$

$a imes (b + c) = a imes b - a imes c$

$a imes (b + c) = a imes b + a imes c$ (correct)

What is the additive property of 0?

$a + 0 = a$ Signup and view all the answers

What is the benefit of using the commutative and associative properties in calculations?

It helps to simplify the calculations and makes them more efficient. Signup and view all the answers

What is the purpose of using a summary table for multiplication?

To practice and reinforce the multiplication of various numbers. Signup and view all the answers

What is the benefit of using the distributive property in calculations?

It helps to break down complex multiplications into simpler parts. Signup and view all the answers

What is true about the commutative property of multiplication?

It states that the order of numbers in multiplication does not change the result. Signup and view all the answers

Which of the following properties is true for both addition and multiplication?

Commutative Property Signup and view all the answers

What happens when the order of numbers in addition or multiplication is changed?

The result remains the same Signup and view all the answers

When adding or multiplying three or more numbers, what does the associative property ensure?

The way the numbers are grouped does not affect the result Signup and view all the answers

What is the purpose of the distributive property of multiplication over addition?

To simplify multiplication calculations Signup and view all the answers

What is the result of multiplying a number by 1?

The result is the same as the original number Signup and view all the answers

What is the purpose of using a summary table for multiplication?

To practice and reinforce multiplication facts Signup and view all the answers

What happens when 0 is added to a number?

The result is the same as the original number Signup and view all the answers

Why is it important to understand the properties of whole numbers?

To simplify calculations and solve problems efficiently Signup and view all the answers

If $a + b = 12$ and $a + c = 15$, which of the following can be concluded using the commutative property of addition?

b + c = 27 Signup and view all the answers

What is the value of $(a + b) + (a - b)$, using the distributive property of multiplication over addition?

2a Signup and view all the answers

If $(a + 2) × (a + 3) = 24$, what is the value of $a$, using the distributive property of multiplication over addition?

-3 Signup and view all the answers

Which of the following expressions is equivalent to $a × (b + c)$, using the distributive property of multiplication over addition?

a × b + a × c Signup and view all the answers

If $a + (b + c) = 12$, what is the value of $a + b + c$, using the associative property of addition?

12 Signup and view all the answers

What is the value of $a × (1 + 1)$, using the distributive property of multiplication over addition?

2a Signup and view all the answers

If $a × b = 12$ and $a × c = 15$, what is the value of $b + c$, using the commutative property of multiplication?

27 Signup and view all the answers

What is the value of $(a × b) × (a × c)$, using the associative property of multiplication?

a^2 × b × c Signup and view all the answers

Math Gr 8 Ch 1: Properties of Whole Numbers

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Questions and Answers

What is the commutative property of addition?

What is the associative property of multiplication?

What is the distributive property of multiplication over addition?

What is the additive property of 0?

What is the benefit of using the commutative and associative properties in calculations?

What is the purpose of using a summary table for multiplication?

What is the benefit of using the distributive property in calculations?

What is true about the commutative property of multiplication?

Which of the following properties is true for both addition and multiplication?

What happens when the order of numbers in addition or multiplication is changed?

When adding or multiplying three or more numbers, what does the associative property ensure?

What is the purpose of the distributive property of multiplication over addition?

What is the result of multiplying a number by 1?

What is the purpose of using a summary table for multiplication?

What happens when 0 is added to a number?

Why is it important to understand the properties of whole numbers?

If $a + b = 12$ and $a + c = 15$, which of the following can be concluded using the commutative property of addition?

What is the value of $(a + b) + (a - b)$, using the distributive property of multiplication over addition?

If $(a + 2) × (a + 3) = 24$, what is the value of $a$, using the distributive property of multiplication over addition?

Which of the following expressions is equivalent to $a × (b + c)$, using the distributive property of multiplication over addition?

If $a + (b + c) = 12$, what is the value of $a + b + c$, using the associative property of addition?

What is the value of $a × (1 + 1)$, using the distributive property of multiplication over addition?

If $a × b = 12$ and $a × c = 15$, what is the value of $b + c$, using the commutative property of multiplication?

What is the value of $(a × b) × (a × c)$, using the associative property of multiplication?

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