Question

Express \[3500000\] in the standard form.

Answer 1

Hint: To write the number in the standard form, put a decimal point just next to the first digit of the number and then the number of places next to the decimal point is written as an exponent of \[10\].

Complete step by step solution:
To express a number in standard form means to express a very large or a very small number in a more comprehensive form.
For example, a very large number like \[1000000\] can be expressed as \[{10^6}\], in the standard form.
A very small number like \[0.0000056\] can be expressed as \[5.6 \times {10^{ - 6}}\], in the standard form. Note that the index for numbers less than \[1\] are expressed with a negative index of \[10\]. To express a very small number in standard form, put the decimal point just after the first positive integer after the decimal point and then express the number of places between the previous decimal point and the present decimal point as an exponent of \[10\].
For this problem we have \[3500000\]:
First put a decimal point after the first digit that is \[3\], then express the number of places after the decimal point that is \[6\] places as an exponent of 10:
\[\therefore 3500000 = 3.5 \times {10^6}\].

Hence the standard form of \[3500000\] is \[3.5 \times {10^6}\].

Note:
Standard form of a number is also called the standard index form or the scientific form. Numbers that are too large or too small are expressed in this manner to make them more comprehensible. Expressing numbers in this form also makes calculations with them easier.