Question

Write $6.5 \times {10^{ - 4}}$ in standard notation?

Answer 1

Hint: As we have to write the number into standard notation, convert the negative power by moving it to the denominator. After that count, the number of zero in the denominator and digit after the decimal in the numerator and place the decimal point after counting from the right. If the number of digits is less, place zeros on the left.

Complete step by step answer:
The given number is $6.5 \times {10^{ - 4}}$.
We have to convert the number in standard notation.
So, convert ${10^{ - 4}}$ in positive power by moving it to the denominator.
So, the modified equation will be,
$ \Rightarrow \dfrac{{6.5}}{{{{10}^4}}}$
As the denominator is ${10^4}$, convert the exponential form in standard form,
$ \Rightarrow \dfrac{{6.5}}{{10000}}$
As the denominator has 4 zeros in it. Replace the numerator by placing the decimal after 4 digits in 6.5. As there is only 1 digit before the decimal. So, put 3 zero after the decimal and before 6.
$ \Rightarrow 0.00065$
Hence, the standard notation is 0.00065.

Note: We can transform a fractional number into a decimal by simply dividing the numerator with the denominator of the fraction form. By multiplying it by 100 and then by simple division, we can also transform a fraction into a quarter. We ought to round the decimal part when measuring the decimal shape if necessary.
Scientific notation is defined as expressing very large or small numbers by powers of ten so that the values are more easily understood.
Current scientific notation to standard notation, First observes what happens when a particular number is multiplied or divided by multiples of 10.