Standard form is a number of the form, A×10^n
Where A is between 1 and 10, i.e, 1 2 3 4 5 6 7 8 9 while n is the number of places the decimal point is moved to the left or right.When the decimal point is moved to the left, n is positive while it is negative when moved to the right.
When a whole number is written, it has its decimal point at the end.
E.g write in standard form 2567653
Solution:
2567653
To make this number fall between 1 and 10, the decimal point has to be between 2 and 5, therefore, 2567653=2.567653×10^6.
Note that the exponent is positive because the decimal point is moved to the left.
Express in standard form, 0.025
Solution:
When expressing a decimal fraction in standard form, always moved the decimal point to the right such that the whole number is between 1 and 10 and the power must be negative in correspondence to the number of places the decimal point is moved to the right.
So, 0.025=2.5×10^-2
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Please carefully study these for easier understanding of my next lesson. See you soon! When expressing numbers in standard form or scientific notation, always remember that, when the decimal point is moved to the right, the power or index or exponent must be negative while if it is moved to the left, the power or Index or exponent must be positive. See example below:
