Question

FILL IN THE BLANKS 1) 257x_____=(-257) 2)(-30)x_____=(-270) 3)_____x(-21)=_____ 4)918x_____=0 5)(-56)x[(-9)+(-1)]=_____

Answer 1

`(a)\ 257 * [-1] =-257`

`(b)\ (-30) * [9] =-270`

(c) The additive inverse of -21 is 21

`(d)\ 918 *[0]=0`

`(e)\ (-56) * [(-9)+(-1)] = 560`

Explanation:

Required

Fill in the blanks

Represent all blanks with x

`(a)\ 257 * x =-257`

Divide both sides by 257

`x =(-257)/(257)`

`x = -1`

So:

`(a)\ 257 * [-1] =-257`

`(b)\ (-30) * x =-270`

Divide both sides by -30

`x =(-270)/(-30)`

`x = 9`

So:

`(b)\ (-30) * [9] =-270`

(c)The complete question here is to determine the additive inverse of (-21)

The
`additive`
`inverse` of a
`number` x is -x

So:

`(-21) \to -(-21)`

`(-21) \to 21`

`(d)\ 918 *x=0`

Divide both sides by 918

`x=(0)/(918)`

`x = 0`

So:

`(d)\ 918 *[0]=0`

`(e)\ (-56) * [(-9)+(-1)] = x`

Solve the inner brackets

`(-56) * [-9-1] = x`

`(-56) * [-10] = x`

Multiply

`560 = x`

So:

`(e)\ (-56) * [(-9)+(-1)] = 560`