Question

$\sf \: Class \: 7$
• Chapter : RATIONAL NUMBERS
• Explain the following :
(1) Multiplication in Rational Number.
(2) Addition in Rational Number.
(3) Additive Inverse in Rational Number. q

• With Examples and solution.
• Need quality answer!
• No unwanted answers
• Unwanted answers will be reported on the spot. ​

Answer 1

ᎪΝՏᏔᎬᎡ:-

1. ᎷႮᏞͲᏆᏢᏞᏆᏟᎪͲᏆϴΝ ᏆΝ ᎡᎪͲᏆϴΝᎪᏞ ΝႮᎷᏴᎬᎡ.

• Q and S do not equal 0.

ՏͲᎬᏢ 1: Factor both the numerator and the denominator.

ՏͲᎬᏢ 2: Write as one fraction.

ՏͲᎬᏢ 3: Simplify the rational expression.

ՏͲᎬᏢ 4: Multiply any remaining factors in the numerator and/or denominator.

2.ᎪᎠᎠᏆͲᏆϴΝ ᏆΝ ᎡᎪͲᏆϴΝᎪᏞ ΝႮᎷᏴᎬᎡ:-

• The addition of rational numbers is carried out in the same way as that of addition of fractions.
• If two rational numbers are to be added we should first convert each of them into a rational number with positive denominator.
• Therefore, 3/13 + -5/13 = = -2/13. 2.

3.ᎪᎠᎠᏆͲᏆᏙᎬ ᏆΝᏙᎬᎡՏᎬ ᏆΝ ᎡᎪͲᏆϴΝᎪᏞ ΝႮᎷᏴᎬᎡ:-

• The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0.
• Zero is its own additive inverse. In other words, the additive inverse of a rational number is the same number with opposite sign.

Answer 2

Answer:

Multiplication in Rational Number.

Multiplication of rational numbers is equal to the product of numerators divided by the product of denominators.

Example

1. Multiply 2/5 and 3/7?

Solution:

Given Rational Numbers are 2/5 and 3/7

= 2/5*3/7

Multiplying the Numerators and Denominators of Given Rational Numbers

= 2*3/5*7

= 6/35

Therefore, the Product of 2/5 and 3/7 is 6/35.

Addition in Rational Number.

Adding rational numbers can be done in the same way as adding fractions. There are two cases related to the addition of rational numbers. To add two or more rational numbers with like denominators, we simply add all the numerators and write the common denominator. For example, add 1/8 and 3/8.

Example

(i) Add 3/7 and 56/7

Solution:

3/7 + 56/7

= (3 + 56)/7

= 59/7, [Since, 3 + 56 = 5 9]

Therefore, 3/7 + 56/7 = 59/7

Additive Inverse in Rational Number.

The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own additive inverse. In other words, the additive inverse of a rational number is the same number with opposite sign

Example

Additive inverse of 2 + 3i is -(2+3i)

2+3i + [-(2+3i)]

= 2+3i -2-3i

= 0