Question

[13+(-12)]+(_____)=13+[(-12)+(-7)] fill in blanks to make the following statements true:​

Answer 1

Given,

$[13 + (-12)} + ($________) = $13 + [(-12) + (-7)]$

To find,

The missing figure

Solution,

The question can be solved using ± x as an unknown quantity    

$[13 + ( -12)] +$ (x) =  $13 + [(-12) + (-7)]$

Solving RHS = $13 + [-19]$

                   = $-6$

Solving LHS = $13 - 12$ + x

                    = $1$ + x

LHS should be equal to RHS

$1 +$ x = $-6$

x $= -6-1$

x = $-7$

The blank will be filled with -7

                     

Answer 2

[ 13 + ( - 12) ] + ( - 7 ) = 13 + [ ( - 12) + ( - 7) ]

Given :

The expression [ 13 + ( - 12) ] + (___) = 13 + [ ( - 12) + ( - 7) ]

To find :

To fill in the blank

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

[ 13 + ( - 12) ] + (___) = 13 + [ ( - 12) + ( - 7) ]

Step 2 of 2 :

Fill in the blank

Associative property under addition states that for three integers a , b , c

( a + b ) + c = a + ( b + c )

We take a = 13 , b = - 12 , c = - 7

Then above becomes

[ 13 + ( - 12) ] + ( - 7 ) = 13 + [ ( - 12) + ( - 7) ]

Hence the number in blank is - 7

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