EXERCISE 3.3  1. Prove that the following rational numbers are equal: (i) 2 3 4 6 and (ii) 5 4 10 8 and (iii) − − 3 5 6 10 and (iv) 9 3 and 3 2. Find the sum: (i) 2 5 3 10 + (ii) 7 12 5 8 + (iii) − +

EXERCISE SET 3.2  The temperature in the high-altitude desert of Ladakh is recorded as 4 °C at noon. By midnight, it drops by 15 °C. What is the midnight temperature? 2. A spice trader takes a loan (debt) of `850. The next day, he makes a profit (fortune) of `1,200. The following week, he incurs

EXERCISE 3.1 1. A merchant in the port city of Lothal is exchanging bags of spices for copper ingots. He receives 15 ingots for every 2 bags of spices. If he brings 12 bags of spices to the market, how many copper ingots will he leave with? 2. Look at the sequence of numbers on

Hello Students, This is the chapter of 9th class The world of number   , where now you connect with me. I will discuss about introduction of this chapter because this is one of the most important  chapter of your 9th class new ncert book and syllabus. In this chapter , there are many important topic

CHAPTER SUMMARY An algebraic expression combines numbers, variables, and operation symbols. For example, 2×2 + 5xy – 3y2 is an algebraic expression in the variables x and y. 2×2 , 5xy and – 3y2 are the terms of the algebraic expression, and the numbers 2, 5 and – 3 are coefficients of the terms. Univariate Polynomials are

END OF CHAPTER EXERCISE  1. Write a polynomial of degree 3 in the variable x, in which the coefficient of the x2 term is –7. 2. Find the values of the following polynomials at the indicated values of the variables. (i) 5×2 – 3x + 7 if x = 1 (ii) 4t3 – t2 +

EXERCISE 2.5  1. A learning platform charges a fixed monthly fee and an additional cost per digital learning module accessed. A student observes that when she accessed 10 modules, her bill was `400. When she accessed 14 modules, her bill was `500. If the monthly bill y depends on the number of modules accessed, x,

EXERCISE 2.4 1. Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. (i) Find the height after 7 months. (ii) Make a table of values for t varying from 0 to 10 months and show how the height, h, increases every month. (iii) Find an expression that relates h

Exercise 2.3 Solve the following: 1. A student has `500 in her savings bank account. She gets `150 every month as pocket money. How much money will she have at the end of every month from the second month onwards? Find a linear expression to represent the amount she will have in the ninth month.

1. Find the value of the linear polynomial 5x – 3 if: (i) x = 0 (ii) x = –1 (iii) x = 2 2. Find the value of the quadratic polynomial 7s2 – 4s + 6 if: (i) s = 0 (ii) s = –3 (iii) s = 4 3. The present age of