Fill in the blanks with $ \rangle,< $ or $ = $ sign.
(a) $(-3)+(-6)$___$(-3)-(-6)$
(b) $(– 21) – (– 10)$ _____ $(– 31) + (– 11)$
(c) $45 – (– 11)$ ______ $57 + (– 4)$
(d) $(– 25) – (– 42)$ _____ $(– 42) – (– 25)$

To do :

We have to fill in the blanks with \( \rangle,< \) or \( = \) sign.

Solution :

We know that,

$(+) \times (-) = (-)$

$(+) \times (+) = (+)$

$(-) \times (-) = (+)$

$(-) \times (+) = (-)$

(a) $(-3)+(-6)=-3-6$

$=-(3+6)$

$=-9$

$(-3)-(-6)=-3+6$

$=6-3$

$=3$

$-9<3$

Therefore,

$(-3)+(-6) < (-3)-(-6)$

(b) $(-21)-(-10)=-21+10$

$=-(21-10)$

$=-11$

$(-31)+(-11)=-31-11$

$=-(31+11)$

$=-42$

$-11>-42$

Therefore,

$(-21)-(-10)>(-31)+(-11)$

(c) $45-(-11)=45+11$

$=56$

$57+(-4)=57-4$

$=53$

$56>53$

Therefore,

$45-(-11)>57+(-4)$

(d) $(-25)-(-42)=-25+42$

$=42-25$

$=17$

$(-42)-(-25)=-42+25$

$=-(42-25)$

$=-17$

$17>-17$

Therefore,

$(-25)-(-42)>(-42)-(-25)$

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Updated on: 10-Oct-2022

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