Worksheet: Properties of Addition and Subtraction

In this worksheet, we will practice identifying the properties of addition and subtraction we use to solve problems with numbers up to 100.

Q1:

Identify the property demonstrated in the following equation: 7+9=9+7.

  • Aidentity property of addition
  • Bcommutative property of addition
  • Cassociative property of addition
  • Ddistributive property

Q2:

Knowing that 𝑎=𝑏, which of the following equations is NOT true?

  • A𝑎2=𝑏2
  • B15𝑎=𝑏15
  • C7𝑏=7𝑎
  • D𝑎+3=3+𝑏
  • E5+𝑏=5+𝑎

Q3:

Complete the following and state which property is being used: (43+34)+22=+(34+22).

  • A0, additive identity
  • B43, associative
  • C34, commutative
  • D22, additive identity

Q4:

Which of these sums can help you to calculate 46+13+2?

  • A46+15=61
  • B46+16=62
  • C46+17=63
  • D46+18=64
  • E46+14=60

Use 46+15=61 to find 46+13+2.

Q5:

Complete (55+26)+52=+(52+55).

Q6:

Fill in the gap: 14+8383+14. Use <, >, or =.

  • A<
  • B=
  • C>

Q7:

Which of the following equations shows the associative property of addition?

  • A9+0=9
  • B9×0=0
  • C9+1=10
  • D9+1=1+9
  • E9+(1+8)=(9+1)+8

Q8:

Which of the following equations shows the identity property of addition?

  • A1+0=1
  • B1+8=9
  • C1×0=0
  • D1+(8+9)=(1+8)+9
  • E1+8=8+1

Q9:

Which of the following equations shows the commutative property of addition?

  • A1+(9+2)=(1+9)+2
  • B1×0=0
  • C1+0=1
  • D1+9=9+1
  • E1+9=10

Q10:

Complete the following and state which property is being used: 1+0=.

  • A1, associative property of addition
  • B1, identity property of addition
  • C0, commutative property of addition
  • D1, commutative property of addition
  • E0, identity property of addition

Q11:

Complete the following and state which property is being used: 1+6=+1.

  • A6, commutative property of addition
  • B0, commutative property of addition
  • C6, identity property of addition
  • D0, identity property of addition
  • E6, associative property of addition

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