Home/Class 8/Maths/

Express the product of $$3.2\times 10^{6}$$ and $$4.1\times 10^{-1}$$ in the standard form.
Speed
00:00
02:33

## QuestionMathsClass 8

Express the product of $$3.2\times 10^{6}$$ and $$4.1\times 10^{-1}$$ in the standard form.

Product of $$3.2\times 10^{6}$$ and $$4.1\times 10^{-1}$$,
$$=3.2\times 10^{6}\times 4.1\times 10^{-1}$$
$$=(3.2\times 4.1)\times 10^{(6-1)}$$ [As $$a^x\times a^y=a^{(x+y)}$$]
$$=13.12\times 10^5$$
Multiplying and dividing by $$10$$ to represent in standard form, we get
$$13.12\times 10^5\times \frac{10}{10}$$
$$=\frac{13.12}{10}\times10^{(5+1)}$$
$$=1.312\times 10^6$$.
Hence, the product of $$3.2\times 10^{6}$$ and $$4.1\times 10^{-1}$$ in the standard form is $$1.312\times 10^6$$.