Chapter 3

The World of Numbers

CBSE Class 9

Mathematics Solutions

Question:

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 a loss of ₹ 450. Write this sequence as an equation using integers and calculate his final financial standing. [Page No. 46]

Answer: Verified

Given, loan (debt) of ₹ 850 = -850

profit (fortune) of ₹ 1,200 = +1200

loss of ₹ 450 = -450

So, equation is given by using integers

(-850) + 1200 + (-450) = 1200 - 850 - 450

= 350 - 450 = -100

Hence, the trader is still in debt of ₹ 100 after all transactions.

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More NCERT Questions

Try to extend this method for constructing line segments of lengths sqrt(3) and sqrt(5) using a ruler and a compass. Generalise this method to construct a line segment of any length of the form sqrt(n Consider this puzzle: What is the square root of -1? We know that 1 × 1 = 1. We also know that (-1) × (-1) = 1. There is no real number that, when multiplied by itself, results in a negative number. T The decimal expansion of p/q will be terminating precisely when the prime factors of q are only 2, only 5, or both 2 and 5. Can you explain why? [Page No. 58] Try to find the decimal expansions of 10/3 and 11/12. What do you observe about the repetition of the digits after the decimal point? [Page No. 57]