Observe the following patterns and fill in the blank to make the statements true:
a. -5 × 4 = -20
-5 × 3 = -15 = -20 - (-5)
-5 × 2 = ___ = -15 - (-5)
-5 × 1 = _ = _
-5 × 0 = 0 = _
-5 × -1 = 5 = _
-5 × -2 = _ = _

b. 7 × 4 = 28
7 × 3 = _ = 28 - 7
7 × 2 = = _- 7
7 × 1 = 7 = _ - 7
7 × 0 = _ = _ -__
7 × - 1 = -7 = _ - _
7 × - 2 = _ = _ - _
7 × - 3 _ = _ - ______

Solution:

To fill the above blank we will use the integer rules and will observe the patterns to make the statement true. Let's use the property of integers and fill the blank.

a)

-5 × 2 = -10 = -15 - (-5)

-5 × 1 = -5 = -10 - (-5)

-5 × 0 = 0 = -5 - (-5)

-5 × -1 = 5 = 0 - (-5)

-5 × - 2 = 10 = 5 - (-5)

b)

7 × 3 = 21 = 28 - 7

7 × 2 = 14 = 21 - 7

7 × 1 = 7 = 14 - 7

7 × 0 = 0 = 7 - 7

7 × (-1) = -7 = 0 - 7

7 × (- 2) = -14 = -7 - 7

7 × (-3) = -21 = -14 - 7

✦ Try This: Fill in the blank: a. -4 × -3 = ____. b. 7 × __ = -63

Now to fill the given blank we can apply integer rules and the rule of multiplication.

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

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 109

Observe the following patterns and fill in the blank to make the statements true: a. -5 × 4 = -20 -5 × 3 = -15 = -20 - (-5) -5 × 2 = ___ = -15 - (-5) -5 × 1 = _ = _ -5 × 0 = 0 = _ -5 × -1 = 5 = _ -5 × -2 = _ = _ b. 7 × 4 = 28 7 × 3 = _ = 28 - 7 7 × 2 = = _- 7 7 × 1 = 7 = _ - 7 7 × 0 = _ = _ -__ 7 × - 1 = -7 = _ - _ 7 × - 2 = _ = _ - _ 7 × - 3 _ = _ - ______

Summary:

After applying the integer rules and the basic rules of multiplication we examined that the following integers can be filled in the respective blank. a. -10, -5, 10, -10 - (-5), -5 - (-5), 0 - (-5), 10, 5 - (-5). b. 21, 14, 21, 14, 0, 7, 7, 0, 7, -14, -7, 7, -21, -14, 7.

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