Worksheet on Multiplication of Rational Number

Practice the questions given in the worksheet on multiplication of rational number. We know, for any two rational numbers a/b and c/d, we have a/b × c/d = a × c/b × d.

1. Multiply each of the following rational numbers: 

(i) 7/11 by 5/4

(ii) 5/7 by (-3/4)

(iii) (-2)/9 by 5/11

(iv) -3/17 by -5/-4


2. Find the product of each of the following:

(i) 3/5 × (-7)/8

(ii) (-9)/2 × 5/4

(iii) (-6)/11 × 5/3

(iv) (-2)/3 × 6/7

(v) (-12)/5 × 10/-3

(vi) 25/-9 × 3/-10

(vii) 5/-18 × -9/20

(viii) (-13)/15 × (-25)/26

(ix) 16/-21 × 14/5

(x) (-7)/6 × 24

(xi) 7/24 × (-48)

(xii) (-13)/5 × (-10)


3. Find the reciprocal of:

(i) 13/25

(ii) (-17)/12

(iii) (-7)/24

(iv) 18

(v) -16


4. Find the value of:

(i) (5/8)^-1

(ii) (-4/9)^-1

(iii) (-7)^-1

(iv) (1/-3)^-1


5. Fill in the blanks:

(i) The product of a rational number and its reciprocal is __________ .

(ii) Zero has __________ reciprocal.

(iii) The numbers __________ and __________ are their own reciprocals.

(iv) Zero is __________ the reciprocal of any number.

(v) The reciprocal of a, where a ≠ 0, is __________ .

(vi) The reciprocal of 1/a, where a ≠ 0, is __________ .

(vii) The reciprocal of a positive rational number is __________ .

(viii) The reciprocal of a negative rational number is __________ .


6. Simplify each of the following and express the result as a rational number:

(i) -16/21 × 14/5

(ii) 7/6 × -3/28

(iii) -19/36 × 16

(iv) -13/9 × 27/-26


Answers for the worksheet on multiplication of rational number are given below to check the exact answers of the above multiplication.


Answers:


1. (i) 35/44

(ii) -15/28

(iii) -10/99

(iv) -15/68


2. (i) -21/40

(ii) -45/8

(iii) 10/11

(iv) -4/7

(v) 8

(vi) 5/8

(vii) 1/8

(viii) 5/6

(ix) -32/15

(x) -28

(xi) -14

(xii) 26


3. (i) 25/13

(ii)  12/-17

(iii) 24/-7

(iv) 1/18

(v) 1/-16


4. (i) 8/5

(ii) -9/4

(iii) -1/7

(iv) -3


5. (i) 1

(ii) No

(iii) 1, -1

(iv) Not

(v) 1/a

(vi) a

(vii) Positive

(viii) Negative


6. (i) -32/15

(ii) -1/8

(iii) -76/9

(iv) 3/2

Rational Numbers - Worksheets

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Rational Numbers

Introduction of Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Addition of Rational Numbers

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Product of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational  Number

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

To Find Rational Numbers