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

Answer:

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

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

(c) The additive inverse of -21 is 21

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

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

Step-by-step explanation:

Required

Fill in the blanks

Represent all blanks with x

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

Divide both sides by 257

$x =\frac{-257}{257}$

$x = -1$

So:

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

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

Divide both sides by -30

$x =\frac{-270}{-30}$

$x = 9$

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

$x=\frac{0}{918}$

$x = 0$

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:

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