CBSE Class 6 > Class 6 Notes > Mathematics > RS Aggarwal Solutions: Integers (Exercise 6C)
RS Aggarwal Solutions: Integers (Exercise 6C)
Solution 1:
43 - (70)
= 43 - 70
= -27
Solution 2:
= 43 - 70
= -27
Solution 2:
(-31) - (17)
= -31 - 17
= -48
Solution 3:
= -31 - 17
= -48
Solution 3:
56 - (-9)
= 56 + 9
= 65
Solution 4:
= 56 + 9
= 65
Solution 4:
(-72) - (-81)
= -72 + 81
= 9
Solution 5:
= -72 + 81
= 9
Solution 5:
(-100) - (-63)
= -100 + 63
= -37
Solution 6:
= -100 + 63
= -37
Solution 6:
0 - (-65)
= 0 + 65
= 65
Solution 7:
= 0 + 65
= 65
Solution 7:
(-16) - 9 - (-15)
= -16 - 9 + 15
= -10
Solution 8:
= -16 - 9 + 15
= -10
Solution 8:
(-26) + (-34) + (-30)
= -26 - 34 - 30
= -90
Solution 9:
= -26 - 34 - 30
= -90
Solution 9:
68 - (-32) - (-15)
= 68 + 32 + 15
= 115
Solution 10:
= 68 + 32 + 15
= 115
Solution 10:
(i) (-35) - (+25)
= -35 - 25
= -60
(ii) (-34) - (26)
= -34 + 26
= -8
Solution 11:
Let the other integer be x.
According to question, we have:
x + (-18) = 34
⇒ x = 34 + 18
⇒ x = 52
Thus, the other integer is 52.
Solution 12:
= -35 - 25
= -60
(ii) (-34) - (26)
= -34 + 26
= -8
Solution 11:
Let the other integer be x.
According to question, we have:
x + (-18) = 34
⇒ x = 34 + 18
⇒ x = 52
Thus, the other integer is 52.
Solution 12:
Let the other integer be x.
According to question, we have:
x + 17 = -48
⇒ x = -48 - 17
⇒ x = -65
Thus, the other integer is -65.
Solution 13:
According to question, we have:
x + 17 = -48
⇒ x = -48 - 17
⇒ x = -65
Thus, the other integer is -65.
Solution 13:
Initial temperature at 6 p.m. = 1°C
Final temperature at midnight = -4°C
Change in temperature = Final temperature - Initial temperature
= (-4) - (1)
= -5°C
Final temperature at midnight = -4°C
Change in temperature = Final temperature - Initial temperature
= (-4) - (1)
= -5°C
So, the temperature has changed -5°C.
The negative sign indicates that the temperature has fallen.
So, the temperature has fallen by 5°C.
Solution 14:
(i) Predecessor of 31 = 31 - 1 = 30
(ii) Predecessor of -31 = -31 - 1 = -32
(iii) Predecessor of -40 = -40 - 1 = -41
(iv) Predecessor of -2 = -2 - 1 = -3
Solution 15:
(i) True
(ii) True
(iii) False
Reason: The given statements is
-14 > {-8 - (-7)}
⇒ -14 > (-8 + 7)
⇒ -14 > -1
which is not true.
(iv) True
Reason: The given statements is {(-5) - 2} > (-8)
⇒ (-5 - 2) > -8
⇒ -7 > -8
which is true
(v) False
Reason: The given statements is
(-7) - 3 = {(-3) - (-7)}
⇒-7 - 3 = -3 + 7
⇒ -10 = 4
which is not true.
Solution 16:
(i) The present year is 2025.
∴ The Year of 180 years ago = 2025 - 180 = 1845
So, it was the year 1845.
(ii) The present year is 2025.
∴ The Year of 2250 years ago = 2025 - 2250
= -225
So, it was the year 225 BCE (Before Common Era.)
The document RS Aggarwal Solutions: Integers (Exercise 6C) is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on RS Aggarwal Solutions: Integers (Exercise 6C)
| 1. What are integers? |  |
Ans. Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals. Examples of integers include -3, -2, -1, 0, 1, 2, and 3.
| 2. How do you add and subtract integers? | |
Ans. To add integers, if both are positive, simply add their absolute values. If both are negative, add their absolute values and keep the negative sign. For integers with different signs, subtract the smaller absolute value from the larger one and take the sign of the integer with the larger absolute value. For subtraction, change the sign of the integer being subtracted and then follow the addition rules.
| 3. What is the product of two negative integers? | |
Ans. The product of two negative integers is always a positive integer. For example, -2 multiplied by -3 equals +6. This is because multiplying two negative values cancels out the negative signs.
| 4. How do you represent integers on a number line? | |
Ans. Integers can be represented on a number line by marking equal intervals. The centre typically represents zero, with negative integers to the left and positive integers to the right. Each point corresponds to an integer, allowing for easy visualisation of addition and subtraction.
| 5. What are some real-life applications of integers? | |
Ans. Integers are used in various real-life situations including temperature measurements (where below zero indicates negative temperatures), financial transactions (such as debts being represented as negative values), and sports scores (where a team can score positive points or have penalties represented as negative points).
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