Scientific Notation

Using scientific notation reduces the need to write out very large or very small numbers as the following examples show:-

1,000,000,000,000 = 1.0*1012 in scientific notation

0.0000000001 = 1.0*10-10 in scientific notation

Either- and most people are ignorant of this fact.

If your study is about how the size of the bottle affects the price, then the independent variable is the size of the bottle and the dependent is the price.

However, if your study is to determine how the price that you pay affects the size of the bottle, the independent variable is the amount of money and the dependent is the bottle size.

Scientific notation - is simply 'shortening' a number - and raising it to a power. For example - instead of writing 10,000,000,000,000,000,000 - the scientific notation equivalent would be 1019 - which saves a lot of space !

Scientific notation is a way that scientists are able to handle either very large numbers or vary small numbers. The scientific notation for the number 70,680,000 would be written as 7.068 x 10^7.

1.64 x 10e-5

It is: 2.2*103

If the exponent is b, then you move the decimal point b places to the right - inserting zeros if necessary.

It is: 9.72*105

500 written in scientific notation is 5.0 × 102

same as in any other class, n x 10k , where n is between 1 and 10, and k is an integer exponent to describe how many times to multiply or divide by 10 to restore to normal notation.

Observe ===> 7.5 x 10-8

Because the 4 and 8 are significant figures, in standard notation it would be 48.3. In Scientific notation, it would be 4.83 x 10(1), where the (1) isis superscripted.

2.45 x 10^10

none, a linear meter is a distance, a kilogram is mass, there is no way to convert from one to the other.

It is 9.9002356*107.

It is 3.456*10-2.

It is 3.456*10-2.

It is 3.456*10-2.

It is 3.456*10-2.

Since the first part of the number must be between 1 and 10, in this case it would be 2.9.

The second part of the number is how many places the decimal was moved to the left, in this case 3, as the exponent for the 10^X part.

So it's 2.9 * 10^3.

Shift a decimal place to the left, so the new exponent for base 10 is 5. Therefore, we have 6.213 x 105.

1.54 * 10(to the negative 10th power)

47,764 = 4.7764 × 104

1) Move the decimal until your number appears to be between 1 and 10 count the spaces that you move the decimal.

2) use the number of spaces as the exponent of 10 (the base)

3) if the original number was greater than 10, the exponent is positive, if the original number was less than 1 then the exponent is negative.

EX: 250,000 becomes 2.5 x 105

but 0.0025 becomes 2.5 x 10-3

If the trailing 0s are necessary to show precision, then 1.540000000*10-1 otherwise 1.54*10-1

5.04x 10 to the power of 3

4,253 = 4.253 × 103