Find ten rational numbers between - 4 5 and 2 3 .

To find 10 rational numbers between - 4 5 and 2 3 L C M of their denominators 5 and 3 is 15 . To convert these rational numbers with same denominator, we have - 4 5 = - 4 × 3 5 × 3 = - 12 15 And 2 3 = 2 × 5 3 × 5 = 10 15 Now 10 rational numbers between - 4 5 and 2 3 will be - 11 15 , - 10 15 , - 9 15 , - 8 15 , - 7 15 , - 6 15 , - 5 15 - 4 15 , - 3 15 , - 2 15 .

If p = - 3 5 , q = 1 2 and r = - 7 9 , then verify that p × ( q + r ) = ( p × q ) + ( p × r ) .

Given, p = - 3 5 , q = 1 2 and r = - 7 9 To verify: p × ( q + r ) = ( p × q ) + ( p × r ) Using distributive property of multiplication of rational number p q × r s + t u = p q × r s + p q × t u L.H.S. = p × ( q + r ) = - 3 5 × 1 2 + - 7 9 = - 3 5 × ( 9 - 14 ) 18 = ( - 3 ) × ( - 5 ) 18 × 5 = 15 18 × 5 = 3 18 = 1 6 R.H.S. = ( p × q ) + ( p × r ) = - 3 5 × 1 2 + - 3 5 × - 7 9 = - 3 10 + 21 45 = - 135 + 210 450 = 75 450 = 1 6 Thus, L . H . S . = R . H . S . Hence, the given rational numbers satisfy the distributive property of multiplication of rational number.

E M B I B E

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1

M L Aggarwal Solutions for Chapter: Model Question Paper, Exercise 1: MODEL QUESTION PAPER 1

Author:M L Aggarwal

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Model Question Paper, Exercise 1: MODEL QUESTION PAPER 1

Attempt the free practice questions on Chapter 20: Model Question Paper, Exercise 1: MODEL QUESTION PAPER 1 with hints and solutions to strengthen your understanding. ICSE Understanding Mathematics Class 8 solutions are prepared by Experienced Embibe Experts.

Questions from M L Aggarwal Solutions for Chapter: Model Question Paper, Exercise 1: MODEL QUESTION PAPER 1 with Hints & Solutions

EASY

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 4

Express the number $0.0000000000578$ in standard form.

HARD

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 4

Express the number $345700000000000$ in standard form.

EASY

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 5

Find ten rational numbers between $\frac{- 4}{5} and \frac{2}{3}$ .

EASY

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 6

Find the cube root of $50653$

HARD

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 7

Find the smallest number by which $3645$ must be divided to obtain a perfect cube.

MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 8

If $p = \frac{- 3}{5}, q = \frac{1}{2}$ and $r = \frac{- 7}{9}$ , then verify that $p \times (q + r) = (p \times q) + (p \times r)$ .

MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 9

Find the square root of $7056$ .

MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 20 - Model Question Paper>MODEL QUESTION PAPER 1>Q 10

Find the least number which must be added to the number $59000$ to make it a perfect square. Also find the square root of the perfect square number so obtained.

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