How do you write in standard form?

Answer 1

Scientific notation is a way of representing numbers, usually very large or very small, in the form

a*10^bwhere 1 ≤ |a| < 10 is a decimal number and b is an integer (negative or positive).

a is called the mantissa and b is called the exponent.

To convert a number to scientific notation:

· If the number has no decimal point, then add one at the end.

· Then move the decimal point to just after the first digit while counting the number of places you have moved it.

· The mantissa of the new number, formed after moving the decimal point is a.

· If the original number is negative, then so is a.

· The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative.

For example:

23045.06 becomes 2.304506*10^4

-23045.06 becomes -2.304506*10^4

0.00023004 becomes 2.3004*10^-4

To convert a number in scientific notation to normal form:

· If b is positive, move the decimal point b places to the right in the number a - adding 0s at the end of the number, if required.

· If b is negative, move the decimal point b places to the left in the number a - adding 0s immediately after the decimal point, if required.

· The final expression has the same sign (+ or -) as a in the scientific form.

For example:

4.56*10^5 = 456000.

-4.56*10^5 = -456000.

4.56*10^-5 = 0.0000456