[(-8) × (-3)] × (-4) is not equal to
a. (-8) × [(-3) × (-4)]
b. [(-8) × (-4)] × (-3)
c. [(-3) × (-8)] × (-4)
d. (-8) × (-3) - (-8) × (-4)

Solution:

To determine the correct option from the above given alternatives the easiest and the direct way is to solve the expression using properties of integers.

On solving [(-8) × (-3)] × (-4) we have the value as -96.

Now to find the correct option let us solve the other options using the integer rules.

a) (-8) × [(-3) × (-4)] = -96

b) [(-8) × (-4)] × (-3) = -96

c) [(-3) × (-8)] × (-4) = -96

d) (-8) × (-3) - (-8) × (-4) = -8

Therefore, [(– 8) × (– 3)] × (– 4) ≠ (-8) × (-3) - (-8) × (-4).

✦ Try This: Evaluate the value of (-5) × (-7) + (-2) × (-8).

Using the integers rules and BODMAS rule we can evaluate the value of (-5) × (-7) + (-2) × (-8).

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

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 16

[(– 8) × ( – 3)] × (– 4) is not equal to:(– 8) × [(– 3) × (– 4)], [(– 8) × (– 4)] × (– 3), [(– 3) × (– 8)] × (– 4), ( – 8) × (– 3) – (– 8) × (– 4)

Summary:

According to the properties of integers and by applying the BODMAS rule the value of [(-8) × (-3)] × (-4) is not equal to (-8) × (-3) - (-8) × (-4)

☛ Related Questions:

• (-25) × [6 + 4] is not same as: (-25) × 10, (-25) × 6 + (-25) × 4, (-25) × 6 × 4, -250
• -35 × 107 is not same as: -35 × (100 + 7), (-35) × 7 + (-35) × 100, -35 × 7 + 100, (-30 -5) × 107
• (-43) × (-99) + 43 is equal to: 4300, -4300, 4257, -4214