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Page No.5.10, Negative Numbers And Integers, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download

PAGE NO 5.10:

Question 2: Find the sum of:
(i) −557 and 488
(ii) −522 and −160
(iii) 2567 and −325
(iv) −10025 and 139
(v) 2547 and −2548
(vi) 2884 and −2884

ANSWER: (i) Here, we have to add integers of unlike sign ,therefore we find the difference of their absolute values & assign the sign of the addend having greater absolute value
(−557)+488=−[|−557|−|488|]                   ( As, |−557|=557,|488|=488)
=−[557−488]
=−6
(ii) Here, we have to add integers that are both negative.
(−552)+(−160)=−[|−552|+|−160|]                  (As,|−552|=552,|−160|=160)
=−[552+160]
=−682
(iii) Here,we have to add integers of unlike signs ,therefore we find the difference of their absolute values & assign sign of the addend having greater absolute value .
(2567)+(−325)=[|2567|−|−325|]               (As,|2567|=2567,|−325|=325)
 =[2567−325]
=2242
(iv)  Here, we have to add integers of unlike sign ,therefore we find the difference of their absolute values & assign the sign of the addend having greater absolute value .
(−10025)+139
=−[|−10025|−|139|]                 (As,|−10025|=10025,|139|=139)
=−[10025−139]
= −9886
(v) Here,we have to add integers of unlike signs ,therefore we find the difference of their absolute values & assign sign of the addend having greater absolute value .
(2547)+(−2548)=−[|2548|−|−2547|]               (As,|2548|=2548,|−2547|=2547)
=−[2548−2547]
=−1
(vi) Here,we have to add integers of unlike signs ,therefore we find the difference of their absolute values & assign sign of the addend having greater absolute value .
(2884)+(−2884)
=[|2884|−|−2884|]               (As,|2884|=2884,|−2884|=2884)
=[2884−2884]
=0
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FAQs on Page No.5.10, Negative Numbers And Integers, Class 6, Maths RD Sharma Solutions - RD Sharma Solutions for Class 6 Mathematics

1. What are negative numbers and integers?
Ans. Negative numbers are numbers that are less than zero, such as -1, -2, -3, etc. Integers, on the other hand, include both positive and negative numbers along with zero, such as -3, -2, -1, 0, 1, 2, 3, etc.
2. How do we represent negative numbers on a number line?
Ans. To represent negative numbers on a number line, we move to the left from zero. For example, -1 will be represented to the left of 0, -2 will be represented to the left of -1, and so on.
3. What is the difference between negative numbers and positive numbers?
Ans. The main difference between negative and positive numbers is their value. Positive numbers are greater than zero, while negative numbers are less than zero. Positive numbers are usually denoted without any sign, whereas negative numbers are denoted with a negative sign (-) before the number.
4. How do we perform operations with negative numbers?
Ans. To perform operations with negative numbers, we follow certain rules. Adding a negative number is the same as subtracting a positive number. Subtracting a negative number is the same as adding a positive number. Multiplying or dividing two negative numbers will result in a positive number, while multiplying or dividing a positive and a negative number will result in a negative number.
5. Can negative numbers be used in real-life situations?
Ans. Yes, negative numbers can be used in real-life situations. For example, if you owe someone money, the amount you owe can be represented as a negative number. Negative numbers are also used in weather forecasts to represent temperatures below zero. Additionally, in banking, negative numbers can represent an overdraft or a deficit in an account balance.
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