Home
Class 8
MATHS
Find the additive inverse of each of the...

Find the additive inverse of each of the following :
`{:((i) (1)/(3),(ii) (23)/(9),(iii) -18,(iv) (-17)/(8),(v) (15)/(-4)),((vi) (-16)/(-5), (vii) (-3)/(11),(viii) 0 ,(ix) (19)/(-6),(x) (-8)/(-7)):}`

Text Solution

AI Generated Solution

The correct Answer is:
To find the additive inverse of a number, we need to determine what number, when added to the original number, results in zero. The additive inverse of a number \( a \) is given by \( -a \). Let's find the additive inverse for each of the given numbers step by step: ### Step 1: Find the additive inverse of \( \frac{1}{3} \) - The additive inverse is \( -\frac{1}{3} \). ### Step 2: Find the additive inverse of \( \frac{23}{9} \) - The additive inverse is \( -\frac{23}{9} \). ### Step 3: Find the additive inverse of \( -18 \) - The additive inverse is \( 18 \). ### Step 4: Find the additive inverse of \( -\frac{17}{8} \) - The additive inverse is \( \frac{17}{8} \). ### Step 5: Find the additive inverse of \( \frac{15}{-4} \) - Since \( \frac{15}{-4} = -\frac{15}{4} \), the additive inverse is \( \frac{15}{4} \). ### Step 6: Find the additive inverse of \( -\frac{16}{-5} \) - Since \( -\frac{16}{-5} = \frac{16}{5} \), the additive inverse is \( -\frac{16}{5} \). ### Step 7: Find the additive inverse of \( -\frac{3}{11} \) - The additive inverse is \( \frac{3}{11} \). ### Step 8: Find the additive inverse of \( 0 \) - The additive inverse is \( 0 \). ### Step 9: Find the additive inverse of \( \frac{19}{-6} \) - Since \( \frac{19}{-6} = -\frac{19}{6} \), the additive inverse is \( \frac{19}{6} \). ### Step 10: Find the additive inverse of \( -\frac{8}{-7} \) - Since \( -\frac{8}{-7} = \frac{8}{7} \), the additive inverse is \( -\frac{8}{7} \). ### Summary of Additive Inverses: 1. \( \frac{1}{3} \) → \( -\frac{1}{3} \) 2. \( \frac{23}{9} \) → \( -\frac{23}{9} \) 3. \( -18 \) → \( 18 \) 4. \( -\frac{17}{8} \) → \( \frac{17}{8} \) 5. \( \frac{15}{-4} \) → \( \frac{15}{4} \) 6. \( -\frac{16}{-5} \) → \( -\frac{16}{5} \) 7. \( -\frac{3}{11} \) → \( \frac{3}{11} \) 8. \( 0 \) → \( 0 \) 9. \( \frac{19}{-6} \) → \( \frac{19}{6} \) 10. \( -\frac{8}{-7} \) → \( -\frac{8}{7} \)
Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise EXERCISE 1D|9 Videos

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise EXERCISE 1E|12 Videos

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise EXERCISE 1B|3 Videos

  • QUADRILATERALS

    RS AGGARWAL|Exercise EXERCISE 15|8 Videos

  • SQUARES

    RS AGGARWAL|Exercise TEST PAPER-3|15 Videos

Similar Questions

Explore conceptually related problems

Write the additive inverse of each of the following.(i) (2)/(8)( ii) (-5)/(9)( iii) (-6)/(-5)( iv )(2)/(-9)(v)(19)/(-6)

Find the multiple inverse or reciprocal of each of the following : (i) 18 (ii) -16 (iii) (13)/(25) (iv) (-17)/(12) (v) (-6)/(19) (vi) (-3)/(-5) (vii) -1 (viii) 0

Write down the fractional number for each of the following: (i) (2)/(3) (ii) (4)/(9) (iii) (2)/(5) (iv) (7)/(10) (v) (1)/(3) (vi) (3)/(4) (vii) (3)/(8) (viii) (9)/(14) (ix) (5)/(11) (x) (6)/(15)

Write five fractions equivalent to each of the following: (i) (2)/(3) (ii) (4)/(5) (iii) (5)/(8) (iv) (7)/(10) (v) (3)/(7) (vi) (6)/(11) (vii) (7)/(9) (viii) (5)/(12)

Represent each of the following numbers on the number line: {:((i) (-1)/(3),(ii) (-3)/(4),(iii) -1(2)/(3),(iv) -3(1)/(7)),((v) -4(3)/(5),(vi) -2(5)/(6),(vii) -3 ,(viii) -2(7)/(8)):}

Find the multiplicative inverse (i.e., reciprocal) of : {:((i) (13)/(25), (ii) (-17)/(12) , (iii) (-7)/(24), (iv) 18, (v) -16),((vi) (-3)/(-5) , (vii) -1, (viii) (0)/(2), (ix) (2)/(-5), (x) (-1)/(8)):}

Find the multiplicative inverse of the following.(i) -13 (ii) (-13)/(19) (iii) (1)/(5) (iv) (-5)/(8)xx(-3)/(7)(v)-1xx(-2)/(5)(vi)-1

Convert each of the following into a mixed fraction: (i) (17)/(5) (ii) (62)/(7) (iii) (101)/(8) (iv) (95)/(13) (v) (81)/(11) (vi) (87)/(16) (vii) (103)/(12) (viii) (117)/(20)

Convert each of the following Into an improper fraction: (i) 5(5)/(7) (ii) 9(3)/(8) (iii) 6(3)/(10) (iv) 3(5)/(11) (v) 10(9)/(14) (vi) 12(7)/(15) (vii) 8(8)/(13) (viii) 51(2)/(3)

Find the additive inverse of : (i) (5)/(9) " " (ii) (-15)/(8)" " (iii) (9)/(-11)" " (iv) (-6)/(-7)