# Match the integer in Column I to an integer in Column II so that the sum is between -11 and -4

Column I Column II

(a) -6 (i) -11

(b) +1 (ii) -5

(c) +7 (iii) +1

(d) -2 (iv) -13

**Solution:**

Here we will use the rules of integers closed under addition and subtraction.

We have four individual options in column I that can be matched with column II option, let us solve the pairs individually to get the correct match. While solving the pairs we will use the rule of integers, (+) × (-) = - and (-) × (-) = +.

Option (a) in column I matches with option (iii) in column II. On solving the expression we have -6 + (+1) = -5, which lies between -11 and -4.

Option (b) in column I matches with option (i) in column II. On solving the expression we have +1 + (-11) = -10 which lies between -11 and -4.

Option (c) in column I matches with option (iv) in column II. On solving the expression we have +7 + (-13) = -6 which lies between -11 and -4.

Option (d) in column I matches with option (ii) in column II. On solving the expression we have -2 + (-5) = -7 which lies between -11 and -4.

**✦ Try This: **Match the integer in Column I to an integer in Column II so that the sum is between -10 and -5

Column I Column II

(a) 5 (i) -16

(b) 8 (ii) -7

(c) -9 (iii) -12

(d) -2 (iv) 0

The given pairs can be solved by using the integers rules. On solving further using the addition and subtraction integers rules the correct matches are (a) ↔ (iii), (b) ↔ (i), (c) ↔ (iv), (d) ↔ (ii).

**☛ Also Check:** NCERT Solutions for Class 7 Maths Chapter 1

**NCERT Exemplar Class 7 Maths Chapter 1 Solved Ex 10**

## Match the integer in Column I to an integer in Column II so that the sum is between -11 and -4 Column I Column II(a) -6 (i) -11 (b) +1 (ii) -5 (c) +7 (iii) +1 (d) -2 (iv) -13

**Summary:**

On solving the given pairs individually using the addition and subtraction rules of integers, the pairs that exactly matches are: Option (a) in column I matches with option (iii) in column II Option (b) in column I matches with option (i) in column II Option (c) in column I matches with option (iv) in column II Option (d) in column I matches with option (ii) in column II

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