1.Writeapairofintegerswhoseproductis–12andthereliessevenintegersbetweenthem
(excludingthegivenintegers).
2.Writeapairofintegerswhoseproductis–36andwhosedifferenceis15.
3.What’stheError?Ramuevaluatedtheexpression–7–(–3)andcameupwiththeanswer–10.
WhatdidRamudowrong?
4.Youareatanelevation380mabovesealevelasyoustartamotorride.Duringtheride,
yourelevationchangesbythefollowingmetres:540m,–268m,116m,–152m,490m,
–844m,94m.Whatisyourelevationrelativetothesealevelattheendoftheride?
5.Observethefollowingpatternsandfillintheblankstomakethestatementstrue:
(a)–5×4=–20
–5×3=–15=–20–(–5)
–5×2=_______=–15–(–5)
–5×1=_______=_______
–5×0=0=_______
–5×–1=5=_______
Answers
Given : A pair of integers whose product is - 12 & Seven integer lies between then
To find : Pair of integers
Solution:
As 7 integers lies between
so Let say Numbers are N , N + 8
N(N + 8) = - 12
=> N² + 8N + 12 = 0
=> N² + 6N + 2N + 12 = 0
=> N(N + 6) + 2(N + 6) = 0
=> (N + 2)(N + 6) = 0
=> N = - 2 , - 6
=> N + 8 = 6 , 2
Pair is ( - 6 , 2) or (-2 , 6)
A Pair of integer whose product -6 & Difference = 15
Let say Number are N , N - 15
N(N - 15) = -36
=> N² - 15N + 36 = 0
=> N² - 12N - 3N + 36 = 0
=> (N - 12)(N - 3) = 0
=> N = 12 , 3
N - 15 = - 3 , - 12
Pair is ( -12 , 3) or ( -3 , 12 )
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