Question

4. Find the sum of: (a) 137 and – 354

(b) – 52 and 52

(c) – 312, 39 and 192

(d) – 50, – 200 and 300​

Answer 1

Answer:

(a) 137 and -354

(137) + (-354) = (137) + (-137) + (-217)

= 0 + (-217) [(137) + (-137) = 0]

= (-217)

= -217

(b) -52 and 52

(-52) + (+52) = 0 [(-a) + (+a) = 0]

(c) -312, 39 and 192

(-312) + (+39) + (+192) = (-231) + (-81) + (+39) + (+192)

= (-231) + (-81) + (+231)

= (-231) + (+231) + (-81)

= 0 + (-81) [(-a) + (+a) = 0]

= -81

(d) -50, -200 and 300

(-50) + (-200) + (+300) = (-50) + (-200) + (+200) + (+100)

= (-50) + 0 + (+100) [(-a) + (+a) = 0]

= (-50) + (+100)

= (-50) + (+50) + (+50)

= 0 + (+50) [(-a) + (+a) = 0]

= 50

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Answer 2

▄︻デlAnswer══━一 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎⁍ ‎ ‎

Rules

• Rules+ & -becomes -
• Rules+ & -becomes -+&+ becomes +
• Rules+ & -becomes -+&+ becomes +-&- becomes +

(a) 137 and 354

137 + (-354)

= 137-354

Taking - common

=-(-137 +354)

= -(354-137)

= -217

Rules

Rules• + & becomes -

Rules• + & becomes -. + & + becomes +

Rules• + & becomes -. + & + becomes +. - & -becomes +

(b)-52 and 52

-52 +52

= 52-52

= 0

(c)-312, 39 and 192

-312 +39 + 192

=-312 + (192 +39)

= -312 +231

Taking-common

= -(312-231)

= -81

Rules

Rules • + & -becomes -

• Rules • + & -becomes -+ & + becomes +
• Rules • + & -becomes -+ & + becomes +- & - becomes +

(d)-50,- 200 and 300

- 50 + (-200) + 300

=-50-200 + 300

= (300-200) - 50

= 100-50

= 50