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Maths CBSE Live product
Class 8
We Distribute, Yet Things Multiply
PT3 Revision I - We Distribute, Yet Things Multiply
6.
TBQ - Compare the products
Question:
3
m.
Which is larger? Find out without fully multiplying it.
31
×
75
or
32
×
74
Solution:
On comparing the product
32
×
74
with
31
×
75
, the product
32
×
74
can be rewritten as:
i
+
i
i
−
i
.
The distributive property used is
(a-1)(b-1) = ab - b - a +1
(a+1)(b+1) = ab + b + a +1
(a+1)(b-1) = ab + b - a -1
The value of \(b - a - 1\) \(=\)
.
Thus, the value of \(b -a -1\) is
greater than
lesser than
equal to
\(0\).
Therefore,
31
×
75
=
<
>
32
×
74
.
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