Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 (Old NCERT) > RD Sharma Solutions: Integers (Exercise 1.2)
Integers (Exercise 1.2) RD Sharma Solutions | Mathematics (Maths) Class 7 (Old NCERT) PDF Download
Q.1. Divide:
(i) 102 by 17
(ii) −85 by 5
(iii) −161 by −23
(iv) 76 by −19
(v) 17654 by −17654
(vi) (−729) by (−27)
(vii) 21590 by −10
(viii) 0 by −135
Ans:
(i) 102 ÷ 17 =
= 
= 6
(ii) −85 ÷ 5 = −
= −
= − 17
(iii) −161 ÷ ( − 23) = 
=
= 7
(iv) 76 ÷ − 19 = −
= 
= − 4
(v) 17654 ÷ (− 17654) = − 
|= −
= − 1
(vi) (−729) ÷ (− 27) = 
= 
= 27
(vii) 21590 ÷ − 10 = −
= −
= − 2159
(viii) 0 ÷ (−135) = −
= −
= 0
Q.2. Fill in the blanks:
(i) 296 ÷ ... = −148
(ii) −88 ÷ ... = 11
(iii) 84 ÷ ... = 12
(iv) ....... ÷ −5 = 25
(v) ....... ÷ 156 = −2
(vi) ....... ÷ 567 = −1
Ans:
(i) 296 ÷ −148 = 
= 2
∴ 296 ÷ (−2) = −148
(ii) − 88 ÷ 11 =
= - 8
∴ −88 ÷ −8 = 11
(iii) 84 ÷ 12 = 
= 7
(iv) 25 × (−5) = −125
∴ −125 ÷ −5 = 25
(v) 156 × (−2) = −312
∴ −312 ÷ 156 = −2
(vi) 567 × (−1) = −567
∴ −567 ÷ 567 = −1
Q.3. Which of the following statements are true?
(i) 0 ÷ 4 = 0
(ii) 0 ÷ (−7) = 0
(iii) −15 ÷ 0 = 0
(iv) 0 ÷ 0 = 0
(v) (−8) ÷ (−1) = −8
(vi) −8 ÷ (−2) = 4
Ans:
(i)
LHS =
= 0
= RHS
Because LHS is equal to RHS, the equation is true.
(ii)
LHS =
= -0 = 0
= RHS
Because LHS is equal to RHS, the equation is true.
(iii)
LHS =
= Not defined
≠RHS
Because LHS is not equal to RHS, the equation is false.
(iv)
LHS =
= Not defined
≠RHS
Because LHS is not equal to RHS, the equation is false.
(v)
LHS =
= 8
≠ RHS
Because LHS and RHS are not equal, the equation is false.
(vi)
LHS =
= 4
= RHS
Because LHS is equal to RHS, the equation is true.
The document Integers (Exercise 1.2) RD Sharma Solutions | Mathematics (Maths) Class 7 (Old NCERT) is a part of the Class 7 Course Mathematics (Maths) Class 7 (Old NCERT).
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FAQs on Integers (Exercise 1.2) RD Sharma Solutions - Mathematics (Maths) Class 7 (Old NCERT)
| 1. What are integers? |  |
Ans. Integers are whole numbers that can be positive, negative, or zero. They do not have any fractional or decimal part. Examples of integers include -3, 0, and 5.
| 2. How are integers represented on a number line? | |
Ans. Integers are represented on a number line by marking points at equal intervals. Positive integers are represented to the right of zero, while negative integers are represented to the left of zero. Zero itself is also an integer and is represented by a point on the number line.
| 3. What is the difference between positive and negative integers? | |
Ans. Positive integers are greater than zero and are represented by numbers like 1, 2, 3, etc. Negative integers are smaller than zero and are represented by numbers like -1, -2, -3, etc. The sign of the integer indicates its direction on the number line.
| 4. How can integers be added and subtracted? | |
Ans. Integers can be added by simply combining their numerical values. To subtract integers, we change the sign of the integer being subtracted and then add it to the other integer. This can be visualized on a number line as moving in the opposite direction.
| 5. Can integers be multiplied and divided? | |
Ans. Yes, integers can be multiplied and divided. When multiplying integers, the sign of the product depends on the signs of the integers being multiplied. In division, the sign of the quotient depends on the signs of the dividend and divisor.
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