Worksheets of Rational and Irrational Numbers

Test your skills on Rational and Irrational Numbers by trying out Rational and Irrational Numbers worksheets. 17 Rational and Irrational Numbers worksheets available to gain expertise and excel in your grades. The worksheets on Rational and Irrational Numbers have been designed to offer a wide range of questions covering all details of the Rational and Irrational Numbers and are in compliance with the k-12 curriculum. Detailed answers will be provided after you have attempted the Rational and Irrational Numbers worksheet. Each worksheet will have around 10 questions and there are multiple worksheets available to try out.

  • Equivalent Rational Numbers Worksheet

    1. Which of the following is not the equivalent rational number for -3/5?
      • -6/10
      • 9/-15
      • -15 / 25
      • -6/-10
    2. Which of the following is equivalent rational number for 2/7?
      • 6/21
      • 10/35
      • Both (a) and (b)
      • None of the above
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  • Rational Numbers Inverse Properties Worksheets

    1. What is the inverse of '+z/1'?
      • –z
      • Z
      • z/1
      • -z/1
    2. What is the inverse of '4/5'?
      • 5/4
      • -5/4
      • -4/5
      • 4/5
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  • Rational Numbers Multiplicative Inverse Worksheets

    1. Find the multiplicative inverse of given rational number 7/3?
      • 7/4
      • 5/4
      • 3/7
      • 3/4
    2. Find the multiplicative inverse of given rational number 8/6?
      • 6/8
      • 5/8
      • 4/8
      • 7/8
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  • Rational Numbers Reciprocal Worksheets

    1. Find the reciprocal of given rational number 2/4?
      • 4/2
      • 3/2
      • 2/3
      • 1/2
    2. Find the reciprocal of given rational number 5/4?
      • 3/5
      • 5/8
      • 4/5
      • 3/4
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  • Standard Form of a Rational Number Worksheets

    1. Which of the following is the Standard form of rational number?
      • 2/3
      • 3/4
      • Both of the above
      • Non of the above
    2. Find the addition of two standard rational number 4/3 and 2/3?
      • 2/2
      • 3/1
      • 2/1
      • 2/3
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  • Rational Numbers Additive Inverse Worksheets

    1. Which of the following shows additive inverse of each other?
      • 39/2
      • +30/2+( -30/2)
      • 2x/3 +3x/2 = 13/2
      • (4x/3+ 5/3) +3/2=0
    2. Which of the following is standard form of the additive inverse?
      • 2x/5=1/3
      • x/3 + 55/3 = 4/3
      • +x/3 + (-x/3)= 0
      • 34/5
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  • Rational Numbers Distributive Property Worksheets

    1. Which of the following is the Distributive Property equation?
      • 6/5(3/4 + 4/5) = 6/5 Ă— 3/4 + 6/5 Ă— 4/5
      • 2x+3y=0
      • 2+9=5
      • 0
    2. Evaluate x(y + 4), for x = 1/2 and y = 2/3 using the distributive property of rational numbers?
      • 9/12
      • 7/3
      • 20/9
      • 15/7
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  • Rational Numbers Identity Property Worksheets

    1. Which of the following is the additive identity of rational numbers 4/7?
      • A rational number 7/4
      • A rational number 4/7
      • A number 0
      • None of the Above
    2. Which of the following is the multiplicative identity of rational numbers 3/8 ?
      • A rational number 8/3
      • A rational number 3/8
      • A number 0
      • None of the Above
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  • Rational Numbers Associative Property Worksheets

    1. Which of the following equations illustrate Associative Property of rational number?

      • 13/2 + 5x/2 + 7y/2 – x/2 – y/2 – 47/2
      • (13/2 * 47/2)*23/2 = 13/2 * (47/2*23/2)
      • 3x/2+4/2

      • (5x – x)/2
    2. Simplify 3a/5 – 9b/5 + 10a/5.

      • 3a/5 – 9b/5 + 10a/5= (3a/5 + 10a/5) – 9b/5
      • 3a/5 – 9b/5 + 10a/5= (3a/5 + 10a/5) – 9b/5
      • 3a/5 – 9b/5 + 10a/5= (3a/5 + 10a/5) – 9b/5
      • 3a/5 – 9b/5 + 10a/5= (3a/5 + 10a/5) – 9b/5
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  • Rational Numbers Commutative Property Worksheets

    1. Solve this problem using communicative property of addition, where a=2/11 and b=7/11?

      • 9/11
      • 10/11
      • 8/11
      • 7/11
    2. Solve this problem using communicative property of addition,where a=-12/21 and b=-10/21?
      • -23/21
      • -13/21
      • -12/21
      • -22/21
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  • Rational Numbers Properties Worksheets

    1. Find the sum of the given Rational number |-1/3|, |2/9|?

      • 5/8
      • 5/9
      • 4/9
      • 2/7
    2. Solve the given problem using Communicative Property of Addition, where a=2/3 and b=7/3?

      • 3/1
      • 10/1
      • 12/1
      • 11/1
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  • Worksheet on Scientific Notation and Rational Numbers

    1. Solve the Decimal Number 0.000000044 with Scientific Notation?

      • 4.4 x 10-2
      • 4.4 x 10-4
      • 4.4 x 10-6
      • 4.4 x 10-8
    2. Add the numbers with Scientific Notations 3.557 × 105 + 7.0039 × 108?

      • 7.124 x 109
      • 1.000 x 109
      • 2.124 x 109
      • 7.007 x 108
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  • Worksheet on Rational expression word problems

    1. A drama lasted for 15/7 hours -- of this 4/9 hours was used for showing advertisement and 1/ 3 in promoting a charity. What is the duration of the actual drama?

      • 112/35

      • 27/28

      • 86/63

      • 31/12

    2. -1/4 people of the family are singer, and 2/5 people are non singer and rest are dancer if there are 20 people in the family then how many person in the family is dancer.

      • 8
      • 7
      • 9
      • 4
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  • Worksheets of Rational Number in Expressions

    1. Solve the expression: 4p2 / 6p?

      • 2p/3p
      • p/3p
      • 2p/3
      • 2/3
    2. Add the rational expression:  4 / (x -2) + x2 /(2 -x)

       

      • -2 – x        

      • x - 2

      • 2 + x         

      • 2 – x    

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  • Worksheets of Rational Numbers on Number Line

    1. Find the existence of 11/8 in the number line?

      • 6 and 7
      • 2 and 5
      • 1 and 3
      • -1 and 0
    2. What is the simplest form of (12/7) – (11/4)?  

      • 18/7
      • -29/28
      • 19/18
      • -11/19
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  • Worksheet on Real World Problems with Rational Numbers

    1. Sam walked 1/4 miles today, and will walk 3/4 miles tomorrow. Calculate the total number of miles he will walk in these two days?

      • 7/9
      • 18/7
      • 1
      • 3/2
    2. John decided to prepare 4 recipe of same type so, if a recipe requires 1/4 spoon salt. How much salt does 4 such recipe need?

       
      • 4
      • 3
      • 1
      • 2
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  • Operations of Rational Numbers Worksheet

    1. Add the given Rational numbers 5/4, and -3/8?

      • -3/8
      • -2/8
      • -7/8
      • 7/8
    2. Find the sum of the Rational expression 4x/10 -2y/10?

      • (x-y)/5
      • (2x-y)/23
      • (2x-y)/5
      • (x+y)/12
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