Question

fill in the blanks

-12×[(-20)+(-4)]=-12×_____+(-12)×(-4)​​

Answer 1

Answer:

is attached

Step-by-step explanation:

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Answer 2

Answer:

Given ⤵

➡-12×[(-20)+(-4)]=-12×_____+(-12)×(-4)

To find⤵

➡Value of __ .

Solution⤵

➡-12+[(-20) +(-4) ]

⚫By associative property

➡(-12) ×(-20) +(-12) ×(-4)

⚫On comparing both

➡(-12) ×(-20) +(-12) ×(-4) =(-12) ×__+(-12) ×(-4)

➡(-20) =__ or

➡ __=(-20)

By onther method⤵

⚫Let the value of__ is x.

➡(-12) ×[(-20) +(-4) ]=(-12) ×x+(-12) ×(-4)

➡(-12) ×[-20-4]=(-12x) +48

➡(-12) ×(-24) =(-12x) +48

➡288-48=(-12x)

➡240/(-12) =x

➡x=(-20)

✅Hence, the value of ___ is (-20).

✔Extra points⤵

✡Associative property:-

It explains that addition and multiplication of numbers are possible regardless of how they are grouped. By grouping we mean the numbers which are given inside the parenthesis (). Suppose you are adding three numbers, say 2, 5, 6, altogether. Then even if we group the numbers in addition procedures such as 2 + (5 + 6) or (2 + 5) + 6, in both the ways the result will be the same. The same rule applies to multiplication, i.e., 2 x (5 x 6) = (2 x 5) x 6.

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