Replace the blank with an integer to make it a true statement.
(a) $(-3)\times$ _____ $= 27$
(b) $5\times$ _____ $=-35$
(c) _____$\times(- 8)=-56$
(d) _____$\times(-12)=132$

To do:

We have to replace the blank with an integer to make it a true statement in each case.

Solution:

(a) $(-3)\times$______$=27$

Let the number in the blank be $x$

This implies,

$(-3)\times x=27$

$x=\frac{27}{-3}$

$x=-9$

Therefore, $(-9)$ is the required integer.

(b) $5\times$ _____ $=-35$

Let the number in the blank be $x$

This implies,

$5\times x=-35$

$x=\frac{-35}{5}$

$x=-7$

Therefore, $(-7)$ is the required integer.

(c) _____$\times(- 8)=-56$

Let the number in the blank be $x$

This implies,

$x \times (-8)=-56$

$x=\frac{-56}{-8}$

$x=7$

Therefore, $7$ is the required integer.

(d) _____$\times(-12)=132$

Let the number in the blank be $x$

This implies,

$x \times (-12)=132$

$x=\frac{132}{-12}$

$x=-11$

Therefore, $(-11)$ is the required integer.

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Updated on: 10-Oct-2022

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