What are the steps to follow in scientific notation?

Answer 1

Scientific notation doesn't exactly have a lot of steps, but I will discuss how it is done. Let us say, you want to convert the number 1,300,000,000 to scientific notation. First, count the number of digits. It turns out to be a ten digit number. Then we observe that the first two digits are not zeroes. So in scientific notation this turns out to be 1.3 x 109. This works out, because we are taking a 1 digit number with another number past the decimal point, 1.3, and then adding another 9 zeroes by use of the term 109 which thereby gives us the equivalent of the original ten digit number that we started with.

Answer 2

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

a*10^b where 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 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

I have avoided using the term "Standard form" because, ironically, it is a non-standard term. In the UK Standard and Scientific forms are the same whereas in the US, the Standard form is what I have chosen to call the normal form.

Answer 3

Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 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.

Answer 4

Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 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 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