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Subjects
Maths CBSE Live product
Class 8
We Distribute, Yet Things Multiply
Increment in products & Distributive property
5.
TBQ - Compare the products
Question:
3
m.
Which is larger? Find out without fully multiplying it.
21
×
71
or
22
×
70
Solution:
On comparing the product
22
×
70
with
21
×
71
, the product
22
×
70
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
equal to
greater than
lesser than
\(0\).
Therefore,
21
×
71
=
>
<
22
×
70
.
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