Worksheet: Using Properties of Addition to Add Mixed Numbers

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

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 ๏€ผ57+619๏ˆ+98=57+๏€ผ619+98๏ˆ?

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

Q3:

The diagram shows the number ๐‘Ž+๐‘. By dividing it into four parts, as shown by the dashed lines, one gets (๐‘Ž+๐‘)รท4.

Using the diagram, find another expression for (๐‘Ž+๐‘)รท4.

  • A ๐‘Ž รท 4 + ๐‘
  • B 4 รท ๐‘Ž + 4 รท ๐‘
  • C ๐‘Ž รท 4 + ๐‘ รท 4
  • D ๐‘Ž ๐‘ รท 4
  • E ๐‘Ž + ๐‘ รท 4

Given that (๐‘Ž+๐‘)ร—๐‘“ is a multiplication equivalent to this division, what is the multiplication factor ๐‘“?

  • A ๐‘Ž
  • B4
  • C 1 4
  • D ๐‘
  • E ๐‘Ž ๐‘ 4

What property of multiplication was used to rewrite (๐‘Ž+๐‘)ร—14 as 14ร—(๐‘Ž+๐‘)?

  • 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(๐‘Ž+๐‘) as ๐‘Ž4+๐‘4?

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

Is 4รท(๐‘Ž+๐‘) equal to 4รท๐‘Ž+4รท๐‘?

  • AYes
  • BNo

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