Q. 1045.0( 2 Votes )
State whether the statements are True or False.
Multiplication fact (–8) × (–10) = 80 is same as division fact 80 ÷ (– 8) = (–10)
Answer :
Let us solve it simultaneously starting from multiplication fact.
Given multiplication fact, (-8) × (-10) = 80
We shall first simplify left hand side (LHS) of this multiplication fact.
LHS = (-8) × (-10)
⇒ LHS = -8 × -10
⇒ LHS = -1 × -1 × 8 × 10
⇒ LHS = (-1 × -1) × (8 × 10)
⇒ LHS = 1 × 80 [∵ -1 × -1 = 1 & 8 × 10 = 80]
⇒ LHS = 80
And RHS = 80 [∵ right hand side, RHS of multiplication fact = 80]
⇒ Multiplication fact is true.
Now, given division fact, 80 ÷ (-8) = (-10)
We shall first simplify left hand side (LHS) of this division fact.
LHS = 80 ÷ (-8)
⇒ LHS = -(80 ÷ 8)
⇒ 
⇒ LHS = -10
And RHS = -10 [∵ right hand side, RHS of division fact = -10]
⇒ Division fact is also true.
So, Multiplication fact is same as division fact.
Thus, this is a true statement.
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