Class 9
Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I)

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Ex 3.2, 4 Explain, using a real-world example of debt, why subtracting a negative number is the same as adding a positive number (e.g., 10 – (–5) = 15). 5. THE PRODUCT OF TWO DEBTS IS A FORTUNE (Negative * Negative $=$ Positive) *The trickiest one. Canceling An IOU: Someone removes (negative 1 multiplier) your debt of 220. You have effectively gained a fortune of 220 ! $$ (-1) *(-20)=+20 $$ Removing 4 Debts of ₹3 (original numbers): Imagine you are relieved of 4 sets of -₹3 debts. That's a net fortune of $\mathbf{~ v 1 2}$ gained! $$ (-3) *(-4)=12 $$Let’s elaborate on the example Imagine you have ₹10 in your pocket, but you owe a friend ₹5. Your current financial state feels weighed down by that debt. If your friend suddenly says, "Don't worry about the ₹5, I am taking that debt away," they are essentially forgiving your loan. By taking away (subtracting) your debt (a negative number), it has the exact same financial impact on your life as if they had just handed you ₹5 in cash. Therefore, 10 – (–5) leaves you with the full value of 15.

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