Question

Q.1 Insert », = or < in the box to make the statement true:

(i) -18+(-27) 27-(-18)

(ii) 1OO-60-(-10) -70+(-50)+120

(iii) -18+(-27) 27-(-18)​

Answer 1

SOLUTION

TO DETERMINE

Insert > , = or < in the box to make the statement true:

$\sf{(i) - 18 + ( - 27) \: \: \boxed{ \: \: } \: \: \: 27 - ( - 18)}$

$\sf{(ii) \: \: \: 100 - 60+ ( - 10) \: \: \boxed{ \: \: } \: \: \: - 70 + ( - 50) + 120}$

EVALUATION

ANSWER TO QUESTION : 1

Here the given expression is

$\sf{(i) - 18 + ( - 27) \: \: \boxed{ \: \: } \: \: \: 27 - ( - 18)}$

LHS

$\sf{ = - 18 + ( - 27) }$

= - 18 - 27

= - 45

RHS

= 27 - ( - 18 )

= 27 + 18

= 45

Now - 45 < 45

$\sf{(i) - 18 + ( - 27) \: \: \boxed{ \: < \: } \: \: \: 27 - ( - 18)}$

ANSWER TO QUESTION : 2

$\sf{(ii) \: \: \: 100 - 60+ ( - 10) \: \: \boxed{ \: \: } \: \: \: - 70 + ( - 50) + 120}$

LHS

= 100 - 60 + ( - 10 )

= 100 - 60 - 10

= 100 - 70

= 30

RHS

= - 70 + ( - 50 ) + 120

= - 70 - 50 + 120

= - 70 + 70

= 0

Now 30 > 0

$\sf{(ii) \: \: \: 100 - 60+ ( - 10) \: \: \boxed{ \: > \: } \: \: \: - 70 + ( - 50) + 120}$

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