To find out multiplication the rational number let united state recall howto multiply 2 fractions. The product the two provided fractions is a fractionwhose numerator is the product the the numerators of the offered fractions andwhose denominator is the product of the platform of the offered fractions.

In other words, product that two given fractions = product oftheir numerators/product of their denominators

Similarly, we will follow the same rule for the product of reasonable numbers.

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Therefore, product of two rational numbers = product of your numerators/product of your denominators.

Thus, if a/b and c/d are any two rational numbers, then

a/b × c/d = a × c/b × d


Solved examples on multiplication of reasonable numbers:

1. multiply 2/7 through 3/5

Solution:

2/7 × 3/5

= 2 × 3/7 × 5

= 6/35

2.

See more: Bond Length Is The Distance Between, Solved The Centers Of

multiply 5/9 through (-3/4)

Solution:

5/9 × (-3/4)

= 5 × -3/9 × 4

= -15/36

= -5/12

3. Main point (-7/6) through 5

Solution:

(-7/6) × 5

= (-7/6) × 5/1

= -7 × 5/6 × 1

= -35/6

4. Uncover each of the adhering to products: (i) -3/7 × 14/5 (ii) 13/6 × -18/91 (iii) -11/9 × -51/44Solution: (i) -3/7 × 14/5 = (-3) × 14/(7 × 5)


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= -6/5

(ii) 13/6 × -18/91 = 13 × (-18)/(6 × 91)


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= -3/7 (iii) -11/9 × 51/44 = (-11) × (-51)/(9 × 44)


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= 17/125. Verify that: (i) (-3/16 × 8/15) = (8/15 × (-3)/16) (ii) 5/6 × (-4)/5 + (-7)/10 = 5/6 × (-4)/5 + 5/6 × (-7)/10Solution: (i) LHS = ((-3)/16 × 8/15) = (-3) × 8/(16 × 15) = -24/240 = -1/10 RHS = (8/15 × (-3)/16) = 8 × (-3)/(15 × 16) = -24/240 = -1/10 Therefore, LHS = RHS. Hence, ((-3)/16 × 8/15) = (8/15 × (-3)/16) (ii) LHS = 5/6 × -4/7 + (-7)/10 = 5/6 × <(-8) + (-7)/10 = 5/6 × (-15)/10= 5/6 × (-3)/2 = 5 × (-3)/(6 × 2) = -15/12 = -5/4RHS = 5/6 × -4/5 + 5/6 ×(-7)/10= {5 × (-4)/(6 × 5) + 5 × (-7)/(6 × 10) = -20/30 + (-35)/60 = (-2)/3 + (-7)/12= (-8) + (-7) / 12 = (-15)/12 = (-5)/4Therefore, LHS = RHS Hence, 5/6 × (-4/5 + (-7)/10) = 5/6 × (-4)/5 + (5/6 × (-7)/10)

● rational Numbers

Introduction of rational Numbers

What is reasonable Numbers?

Is Every reasonable Number a organic Number?

Is Zero a reasonable Number?

Is Every reasonable Number one Integer?

Is Every reasonable Number a Fraction?

Positive reasonable Number

Negative rational Number

Equivalent reasonable Numbers

Equivalent type of reasonable Numbers

Rational Number in various Forms

Properties of reasonable Numbers

Lowest kind of a rational Number

Standard type of a rational Number

Equality that Rational number using typical Form

Equality that Rational number with typical Denominator

Equality of rational Numbers utilizing Cross Multiplication

Comparison of reasonable Numbers

Rational numbers in Ascending Order

Rational numbers in descending Order

Representation of reasonable Numberson the Number Line

Rational number on the Number Line

Addition of reasonable Number with exact same Denominator

Addition of reasonable Number with various Denominator

Addition of rational Numbers

Properties of enhancement of reasonable Numbers

Subtraction of rational Number with exact same Denominator

Subtraction of reasonable Number with different Denominator

Subtraction of reasonable Numbers

Properties of subtraction of rational Numbers

Rational expressions Involving addition and Subtraction

Simplify rational Expressions involving the amount or Difference

Multiplication of reasonable Numbers

Product of rational Numbers

Properties the Multiplication of reasonable Numbers

Rational Expressions involving Addition, Subtraction and Multiplication

Reciprocal of a Rational  Number

Division of reasonable Numbers

Rational Expressions including Division

Properties of department of reasonable Numbers

Rational Numbers between Two rational Numbers

To discover Rational Numbers

8th Grade math PracticeFrom Multiplication the Rational numbers to residence PAGE


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