Question

Question 109 (ii)

Observe the following patterns and fill in the blanks to make the statements true:
$7\times 4=28$
$7\times 3=$ ___$=28-7$
$7\times 2=$___=___$=-7$
$7\times 1=7=$___$-7$
$7\times 0=$___ =___-___
$7\times (-1)=-7=$___-___
$7\times (-2)=$___=___-___
$7\times (-3)$___=___-___

Answer 1

Ans: By observing the pattern, we find that Ist column is constant, i.e. 7, IInd column is decreasing by 1, IIIrd column is decreasing by 7, IVth column is also decreasing by 7 and Vth column is constant, i.e. +7. So, accordingly.
I II III IV V

$7\times 4=287\times 3=21=28–77\times 2=14=21–77\times 1=7=14-77\times 0=0=7-77\times (-1)=(-7)=0–77\times (-2)=(-14)=(-7)-77\times (-3)=(-21)=(-14)-7$