To discover multiplication that rational numbers let us recall howto multiply two fractions. The product of two given fractions is a fractionwhose numerator is the product the the numerators of the provided fractions andwhose denominator is the product the the platform of the provided fractions.

In various other words, product of two provided fractions = product oftheir numerators/product of their denominators

**Similarly, we will follow the same dominion for the product of reasonable numbers.You are watching: The product of two rational numbers**

**Therefore, product of 2 rational number = product of your numerators/product of your denominators.**

**Thus, if a/b and also c/d are any type of two reasonable numbers, then**

**a/b × c/d = a × c/b × d**

Solved instances on multiplication of reasonable numbers:

**1.** main point 2/7 by 3/5

**Solution:**

2/7 × 3/5

= 2 × 3/7 × 5

= 6/35

**2.See more: Is It Illegal To Drive Barefoot In Fl, Is It Legal To Drive Barefoot In Florida** main point 5/9 by (-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. Discover 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) **

= -6/5

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

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

**= 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 reasonable Numbers

**What is rational Numbers?**

**Is Every reasonable Number a organic Number?**

**Is Zero a rational Number?**

**Is Every rational Number one Integer?**

**Is Every reasonable Number a Fraction?**

**Positive reasonable Number**

**Negative rational Number**

**Equivalent rational Numbers**

**Equivalent form of rational Numbers**

**Rational Number in various Forms**

**Properties of reasonable Numbers**

**Lowest kind of a reasonable Number**

**Standard form of a reasonable Number**

**Equality that Rational number using typical Form**

**Equality of Rational number with typical Denominator**

**Equality of reasonable Numbers making use of Cross Multiplication**

**Comparison of rational Numbers**

**Rational numbers in Ascending Order**

**Rational numbers in to decrease Order**

**Representation of rational Numberson the Number Line**

**Rational number on the Number Line**

**Addition of rational Number with exact same Denominator**

**Addition of rational Number with different Denominator**

**Addition of rational Numbers**

**Properties of enhancement of rational Numbers**

**Subtraction of reasonable Number with same Denominator**

**Subtraction of rational Number with different Denominator**

**Subtraction of reasonable Numbers**

**Properties of individually of reasonable Numbers**

**Rational expressions Involving addition and Subtraction**

**Simplify reasonable Expressions including the amount or Difference**

**Multiplication of reasonable Numbers**

**Product of reasonable Numbers**

**Properties of Multiplication of reasonable Numbers**

**Rational Expressions including Addition, Subtraction and also Multiplication**

**Reciprocal that a Rational Number**

**Division of rational Numbers**

**Rational Expressions involving Division**

**Properties of division of reasonable Numbers**

**Rational Numbers between Two reasonable Numbers**

**To discover Rational Numbers**

**8th Grade math Practice****From Multiplication the Rational numbers to house PAGE**