Question
Using suitable identities, evaluate the following.
$10.1 × 10.2$
$10.1 × 10.2$
✓
Answer
$10.1 × 10.2$
$= (10 + 0.1)(10 + 0.2)$
$= (10)^2+ (0.1 + 0.2)10 + (0.1)(0.2)$
$= 100 + 0.3 × 10 + 0.02$
$= 103.02$
$= (10 + 0.1)(10 + 0.2)$
$= (10)^2+ (0.1 + 0.2)10 + (0.1)(0.2)$
$= 100 + 0.3 × 10 + 0.02$
$= 103.02$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A rectangular diesel tanker is $2\ m$ long, $2\ m$ wide and $40\ cm$ deep. How many litres of diesel can it hold$?$
→Write the following numbers in standard form: $0.00000000689$
→Simplify:
$a(b - c) + b(c - a) + c(a - b)$
→$a(b - c) + b(c - a) + c(a - b)$
Factorise:
$z^2+19 z-150$
→$z^2+19 z-150$
The length and breadth of a rectangle are 10 cm and 8 cm . Find its perimeter is the length and breadth are
(i) doubled $\qquad$ (ii) halved
→(i) doubled $\qquad$ (ii) halved
By what least number should the given number be multiplied to get a perfect square number? In case, find the number whose square is the new number. $3332$
→Find the square root in decimal form:$0.00059049$
→Verify the following: $\frac{-12}{5}+\frac{2}{7}=\frac{2}{7}+\frac{-12}{5}$
→Solve:
$ 75 a^3 b^2-108 a b^4 $
→$ 75 a^3 b^2-108 a b^4 $
Fill in the blanks: 