Lesson Worksheet: Properties of Operations over the Real Numbers Mathematics • 9th Grade

In this worksheet, we will practice solving problems involving operations and properties of operations on real numbers.

Q1:

Complete 3+12=12+.

  • A3
  • B3
  • C15
  • D15

Q2:

Fill in the blank: 21×2=×21.

  • A42
  • B19
  • C21
  • D23
  • E2

Q3:

Fill in the blank: 5+10+7=5++10.

  • A17
  • B7
  • C3
  • D15
  • E5

Q4:

Which number is the additive identity for the real numbers?

  • A1
  • B1
  • C0

Which number is the multiplicative identity for the real numbers?

  • A0
  • B1
  • C1

Q5:

Find the multiplicative inverse of 1214.

  • A1412
  • B1214
  • C1412
  • D1214

Q6:

What is the additive inverse of 6585?

  • A65+85
  • B6585
  • C8565
  • D8565

Q7:

Find the additive inverse of 8135.

  • A1358
  • B8+135
  • C1358
  • D18135

Q8:

Find the multiplicative inverse of 0.36, giving your answer in its simplest form.

  • A53
  • B12
  • C13
  • D56
  • E35

Q9:

True or False: 26157=(2615)7.

  • ATrue
  • BFalse

Is subtraction associative or nonassociative in ?

  • ANonassociative
  • BAssociative

True or False: 715=157.

  • ATrue
  • BFalse

Is subtraction commutative or noncommutative in ?

  • ANoncommutative
  • BCommutative

Q10:

True or False: 21÷(9÷3)=21÷9÷3.

  • ATrue
  • BFalse

Is division associative or nonassociative in ?

  • AAssociative
  • BNonassociative

True or False: 7÷2=2÷7.

  • ATrue
  • BFalse

Is division commutative or noncommutative in ?

  • ACommutative
  • BNoncommutative

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