Lesson Worksheet: Using Properties of Addition to Add Decimal Numbers Mathematics • 5th Grade

In this worksheet, we will practice using mental strategies including applying the commutative and associative properties to add three or more decimal numbers with up to two decimal places.

Q1:

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

  • A2.23+1.74=1.74+2.23
  • B2.23+1.74=3.68
  • C2.23+(1.74+3.68)=(2.23+1.74)+3.68
  • D2.23+0=2.23
  • E2.23+1.74+3.68

Q2:

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

  • A2.63+1.02=3.65
  • B2.63+0=1.02
  • C2.63+(1.02+5.12)=(2.63+1.02)+5.12
  • D1.02+(2.63+3.65)=(1.02+2.63)
  • E2.63+1.02=1.02+2.63

Q3:

Evaluate 1.41+2.06+3.59 using the associative property.

Q4:

Complete the following: 3.12+0.51+7.49=3.12+(0.51+7.49)=3.12+=.

  • A8.01, 10.12
  • B8, 12.12
  • C8, 11.12
  • D7, 10.12
  • E7, 11.12

Q5:

Use the associative property to solve 3.6+5.2+4.8.

Q6:

Does the equation 3.328+1.673=1.673+3.328 describe the associative or the commutative property?

  • AThe commutative property
  • BThe associative property

What is the result of 3.328+1.673?

Q7:

Does the equation (1.57+2.76)+4.32=1.57+(2.76+4.32) describe an associative or a commutative property?

  • AA commutative property
  • BAn associative property

What is the result of 1.57+2.76+4.32?

Q8:

Look at the picture.

Which of the following is true?

  • AOnly Farida is correct.
  • BOnly Karim is correct.
  • CBoth Karim and Farida are correct.
  • DNeither of them is correct.

What is the result of 1.7+4.3+2.7?

Q9:

Are the expressions on the cards equal?

  • AYes
  • BNo

What is 2.36+1.27+2.64?

Q10:

Are the expressions on the cards equal?

  • ANo
  • BYes

What is (1.04+3.38)+1.62?

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