Worksheet: Properties of Addition: Fractions

In this worksheet, we will practice using the commutative and associative properties to add three fractions or mixed numbers.

Q1:

Which property of addition is used in 57+619=619+57?

  • Aassociative property
  • Badditive-inverse property
  • Cadditive-identity property
  • Dclosure property
  • Ecommutative property

Q2:

Which property of addition is used in ο€Ό57+619+98=57+ο€Ό619+98?

  • Acommutative property
  • Badditive-inverse property
  • Cadditive-identity property
  • Dclosure property
  • Eassociative property

Q3:

The diagram shows the number π‘Ž+𝑏. By dividing it into four parts, as shown by the dashed lines, one gets (π‘Ž+𝑏)Γ·4.

Using the diagram, find another expression for (π‘Ž+𝑏)Γ·4.

  • Aπ‘ŽΓ·4+𝑏
  • B4Γ·π‘Ž+4÷𝑏
  • Cπ‘ŽΓ·4+𝑏÷4
  • Dπ‘Žπ‘Γ·4
  • Eπ‘Ž+𝑏÷4

Given that (π‘Ž+𝑏)×𝑓 is a multiplication equivalent to this division, what is the multiplication factor 𝑓?

  • Aπ‘Ž
  • B4
  • C14
  • D𝑏
  • Eπ‘Žπ‘4

What property of multiplication was used to rewrite (π‘Ž+𝑏)Γ—14 as 14Γ—(π‘Ž+𝑏)?

  • AThe multiplicative identity property
  • BThe commutative property
  • CThe associative property
  • DThe multiplicative inverse property
  • EThe distributive property

What property of multiplication has then been used to rewrite 14(π‘Ž+𝑏) as π‘Ž4+𝑏4?

  • AThe distributive property
  • BThe multiplicative identity property
  • CThe commutative property
  • DThe multiplicative inverse property
  • EThe associative property

Is 4Γ·(π‘Ž+𝑏) equal to 4Γ·π‘Ž+4÷𝑏?

  • AYes
  • BNo

Q4:

True or False: The associative property is used in ο€Ό12+34+57=12+ο€Ό34+57.

  • AFalse
  • BTrue

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