Properties of Real numbers

Properties of Real numbers

9th - 12th Grade

8 Qs

quiz-placeholder

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Properties of Real numbers

Properties of Real numbers

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

Created by

Amina Khan

Used 1+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which of the following is an example of the commutative property of addition?
3 + 5 = 5 + 3
(3 + 5) + 7 = 3 + (5 + 7)
3 × 5 = 5 × 3
(3 × 5) × 7 = 3 × (5 × 7)

Answer explanation

The commutative property states that changing the order of numbers does not change the sum.

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the identity element for multiplication in real numbers?
0
1
-1
10

Answer explanation

The identity element for multiplication is 1 because multiplying any number by 1 gives the same number.

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

The distributive property states that:
a(b + c) = ab + ac
a + (b + c) = (a + b) + c
(a × b) + c = (a + b) × c
(a + b) + c = a + (b + c)

Answer explanation

The distributive property states that a(b + c) = ab + ac.

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the inverse of 7 under addition?
-7
7
1/7
0

Answer explanation

The additive inverse of a number is the number that, when added to it, results in zero.

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which of the following is an example of the associative property of multiplication?
(2 × 3) × 4 = 2 × (3 × 4)
2 × 3 = 3 × 2
(2 + 3) + 4 = 2 + (3 + 4)
3 + 4 = 4 + 3

Answer explanation

The associative property states that the way numbers are grouped does not change the result.

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

If a × 0 = 0 for any real number a, which property does this illustrate?
Identity property
Zero property of multiplication
Inverse property
Commutative property

Answer explanation

Multiplying any number by zero always results in zero.

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which property of real numbers does this equation illustrate? 5 + (-5) = 0
Associative property
Additive inverse property
Distributive property
Multiplicative inverse property

Answer explanation

The additive inverse property states that any number plus its opposite equals zero.

8.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

If a = b, then b = a. This is an example of which property?
Symmetric property
Reflexive property
Transitive property
Commutative property

Answer explanation

The symmetric property states that if a = b, then b = a.