Arithmetic Laws Challenge

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Laws of math

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Sandie Subero

Trinidad and Tobago

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Froggy Jumps Arithmetic Laws ChallengeOnline version Laws of math by Sandie Subero 1 What does the commutative law state for addition or multiplication? a Order of operands can be swapped b Operands must be grouped only once c Result must always double 2 What is the associative law for addition? a a + b = b + a b (a + b) + c = a + (b + c) c a + (b + c) = b + (a + c) 3 What is the distributive law? a a · (b + c) = a·b + a·c b a·b + c = (a·c) + b c (a + b)·c = a·b + c 4 Which expression demonstrates commutativity in multiplication? a (2 × 3) × 4 = 2 × (3 × 4) b 2 × 3 = 3 × 2 c 2 × (3 + 4) = (2 + 3) × 4 5 Which equation shows associativity in addition? a (1 + 2) + 3 = (1 + 3) + 2 b 1 + (2 + 3) = 3 + (1 + 2) c (1 + 2) + 3 = 1 + (2 + 3) 6 Which expression is distributive over addition? a 5 · (2 + 4) = (5 · 2) + 4 b 5 · (2 + 4) = 5·2 + 5·4 c (5 · 2) + 4 = 5 · (2 + 4) 7 Which statement reflects commutativity for subtraction is false? a a − b = b − a b a × b = b × a (true) c a − b = b − a (false) 8 What describes associativity for multiplication? a ab + c = a(b + c) b (ab)c = a(bc) c a(b + c) = ab + ac 9 What is an example of distributive property with numbers? a 3 × (4 + 5) = (3 × 4) + 5 b (3 × 4) + (3 × 5) = 3 × (4 + 5) c 3 × (4 + 5) = 3×4 + 3×5 10 Which law applies to a(b + c) = ab + ac? a Commutative law b Associative law c Distributive law

Froggy Jumps

Arithmetic Laws ChallengeOnline version

Laws of math

by Sandie Subero

What does the commutative law state for addition or multiplication?

Order of operands can be swapped

Operands must be grouped only once

Result must always double

What is the associative law for addition?

a + b = b + a

(a + b) + c = a + (b + c)

a + (b + c) = b + (a + c)

What is the distributive law?

a · (b + c) = a·b + a·c

a·b + c = (a·c) + b

(a + b)·c = a·b + c

Which expression demonstrates commutativity in multiplication?

(2 × 3) × 4 = 2 × (3 × 4)

2 × 3 = 3 × 2

2 × (3 + 4) = (2 + 3) × 4

Which equation shows associativity in addition?

(1 + 2) + 3 = (1 + 3) + 2

1 + (2 + 3) = 3 + (1 + 2)

(1 + 2) + 3 = 1 + (2 + 3)

Which expression is distributive over addition?

5 · (2 + 4) = (5 · 2) + 4

5 · (2 + 4) = 5·2 + 5·4

(5 · 2) + 4 = 5 · (2 + 4)

Which statement reflects commutativity for subtraction is false?

a − b = b − a

a × b = b × a (true)

a − b = b − a (false)

What describes associativity for multiplication?

ab + c = a(b + c)

(ab)c = a(bc)

a(b + c) = ab + ac

What is an example of distributive property with numbers?

3 × (4 + 5) = (3 × 4) + 5

(3 × 4) + (3 × 5) = 3 × (4 + 5)

3 × (4 + 5) = 3×4 + 3×5

Which law applies to a(b + c) = ab + ac?

Commutative law

Associative law

Distributive law

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Arithmetic Laws Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Arithmetic Laws ChallengeOnline version

by Sandie Subero

What does the commutative law state for addition or multiplication?

What is the associative law for addition?

What is the distributive law?

Which expression demonstrates commutativity in multiplication?

Which equation shows associativity in addition?

Which expression is distributive over addition?

Which statement reflects commutativity for subtraction is false?

What describes associativity for multiplication?

What is an example of distributive property with numbers?

Which law applies to a(b + c) = ab + ac?

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