Verify [4×(-2)]×5=4×[(-2)×5] if they are equal,write the appropriate property.
Plz help
Plz rply fast
they are equal due to the associative property of multiplication:
(a*b)*c = a*(b*c)
To verify whether [4 × (-2)] × 5 is equal to 4 × [(-2) × 5], we can use the commutative property of multiplication.
Let's solve both sides of the equation step by step:
Left side: [4 × (-2)] × 5
Apply the multiplication:
(-8) × 5 = -40
Right side: 4 × [(-2) × 5]
Apply the multiplication inside the parentheses:
4 × (-10)
Now, apply the multiplication:
-40
Since both the left and right sides of the equation result in -40, we can conclude that [4 × (-2)] × 5 is indeed equal to 4 × [(-2) × 5].
The appropriate property used here is the associative property of multiplication, which states that you can change the grouping of factors without changing the product.