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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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