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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