Worksheet: Fractions and Properties of Addition

In this worksheet, we will practice identifying properties of addition, such as commutative, associative, and identity properties, with fractions.

Q1:

Which property of addition is used in 5 7 + 6 1 9 = 6 1 9 + 5 7 ?

  • Aassociative property
  • Bclosure property
  • Cadditive-identity property
  • Dcommutative property
  • Eadditive-inverse property

Q2:

Which property of addition is used in ๏€ผ 5 7 + 6 1 9 ๏ˆ + 9 8 = 5 7 + ๏€ผ 6 1 9 + 9 8 ๏ˆ ?

  • Acommutative property
  • Bclosure property
  • Cadditive-identity property
  • Dassociative property
  • Eadditive-inverse 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‘ ) รท 4 .

Using the diagram, find another expression for ( ๐‘Ž + ๐‘ ) รท 4 .

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

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

  • A 1 4
  • B ๐‘
  • C ๐‘Ž
  • D4
  • E ๐‘Ž ๐‘ 4

What property of multiplication was used to rewrite ( ๐‘Ž + ๐‘ ) ร— 1 4 as 1 4 ร— ( ๐‘Ž + ๐‘ ) ?

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

What property of multiplication has then been used to rewrite 1 4 ( ๐‘Ž + ๐‘ ) as ๐‘Ž 4 + ๐‘ 4 ?

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

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

  • A No
  • B Yes

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