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CONVERT SCIENTIFIC NOTATION TO STANDARD CALCULATOR HOW TO

A power of ten with a positive exponent, such as 10 5, means the decimal was moved to the left.Remember: in a power of ten, the exponent-the small number above and to the right of the 10-tells which way you moved the decimal point.

You can show that you moved it 6 places to the right by noting that the number should be multiplied by 10 -6. You had to move it 6 places to the right to change 0.0000073 to 7.3.

Next, count how many places you moved the decimal point.

If you keep moving the decimal point to the right in 0.0000073 you will get 7.3.

First, move the decimal place until you have a number between 1 and 10.

Scientific notation can be used to turn 0.0000073 into 7.3 x 10 -6. You can show that you moved it 9 places to the left by noting that the number should be multiplied by 10 9.Ģ.89 x 10 9 = 2.89 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 You had to move it 9 places to the left to change 2,890,000,000 to 2.89. If you keep moving the decimal point to the left in 2,890,000,000 you will get 2.89.

Now, move the decimal place until you have a number between 1 and 10.

Remember that any whole number can be written with a decimal point.

All you are doing is moving the decimal place and changing the power to. Then you add a power of ten that tells how many places you moved the decimal. 1.4 Practice converting between normal numbers and scientific notation. In scientific notation, you move the decimal place until you have a number between 1 and 10. Scientific notation is a way to make these numbers easier to work with. Or it might be a small number, like 0.0000073.

Multiply the coefficient by the base: 8.Sometimes, especially when you are using a calculator, you may come up with a very long number.

Count the number of steps moved because this will be the power of the base 10.

The coefficient of the number should be between 1 and 10, and in this case 8.

Place the decimal to the number by counting from the right to the left.

The negative exponent indicates that, we moved to the right,Ĭonvert the following number to scientific notation:

Multiply the coefficient with the base: 4.1 x 10 -4.

This implies that, the power of the base 10 will be 4.

The coefficient is therefore, 4.1 and the steps moved are 4.

Move the decimal point to the right until you find the coefficient to be greater than 1 and less than 10.

00041.In this case the scientific notation is negative because the number is less than 1.

In this case, the coefficient is 3.4 and the 6 steps are moved.Ĭonsider another scenario of a small number 0.

Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.To convert this number into scientific notation: Moving the decimal point to the right gives a negative exponent, whereas moving the decimal point to the left makes a positive exponent.Ĭonsider a big number 3,400,000.The number of steps moved (n) is taken as the exponent.Record down the coefficient ( a) and count the number of steps the decimal point was moved.To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10.Let us take a look into these steps for converting numbers to scientific notation: Conversion of numbers to scientific notation is quite simple and easy. In this article, we shall learn the rules and procedures of converting numbers to scientific notation and therefore, you will be able to convert any number you come across on your own. The number 2 is the mantissa in 2.5 x 10 6. In this example, 2.5 is the coefficient and the first digit of the coefficient is known as the mantissa. The number a which known as coefficient must be greater than 1 and less than 10.Īn example of scientific notation is 2.5 x 10 6 which is equivalent to expressing the number as 2500000. The general form of writing a number in scientific notation is: a × 10 n where 1 ≤ a ≤ 10 and n is any integer. Although scientific notation is one of the oldest mathematical operation, nowadays, it is used by engineers, scientists and mathematicians to ease the computation.

CONVERT SCIENTIFIC NOTATION TO STANDARD CALCULATOR HOW TO

Scientific notation is a technique of expressing gigantic or incredibly small numbers in a simpler form. Now lets compare some numbers expressed in both scientific notation and standard decimal notation in order to understand how to convert from one form to the. Converting to Scientific Notation – Technique & Examples