What is 8.5 in scientific notation

Convert to decimal notation The exponent is -6, making it 10 to the power of negative 6. To find our answer, we move the decimal to the left 6 times: 8. Final result. Why learn this Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering.

Terms and topics Scientific Notation. Which of the numbers is written in scientific notation? Scientific Notation? Which number below is written in scientific notation? The exponent must be an integer and 0.

The correct answer is 4. This is not in scientific notation because 0. This is not in scientific notation because This is scientific notation. Writing Decimal Notation in Scientific Notation. Take a look at the tables below. Pay close attention to the exponent in the scientific notation and the position of the decimal point in the decimal notation. Large Numbers. Small Numbers. Decimal Notation. To write a large number in scientific notation, move the decimal point to the left to obtain a number between 1 and Since moving the decimal point changes the value, you have to multiply the decimal by a power of 10 so that the expression has the same value.

Notice that the decimal point was moved 5 places to the left, and the exponent is 5. The world population is estimated to be about 6,,, people. Which answer expresses this number in scientific notation? The correct answer is 6. Although 0. The number 6. Although 68 x 10 8 is equivalent to 6,,,, it is not written in scientific notation as 68 is not between 1 and Advanced Question. Represent 1. You added six 0s to the end of the decimal. This does not change its value at all; 1. The correct answer is 0.

You moved the decimal point in the correct direction, but you did not move it enough places. You moved the decimal point the correct number of spaces, but the number you created is different than the number you started with: 1. Remember that the zeroes in between 1 and 3 must also be included in the final number.

The exponent is You moved the decimal point 6 spots to the left, creating the decimal 0. To write a small number between 0 and 1 in scientific notation, you move the decimal to the right and the exponent will have to be negative. You may notice that the decimal point was moved five places to the right until you got the number 4, which is between 1 and Writing Scientific Notation in Decimal Notation.

You can also write scientific notation as decimal notation. For example, the number of miles that light travels in a year is 5. To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. Finally convert to scientific notation if the coefficient is less than 1 or greater than Another way to perform any operation on two scientific notation numbers is to convert both to normal numbers, then perform the operation and finally convert the result back to scientific notation.

This method is cumbersome, however, if either exponent is very large or very small. Here it works beautifully. As with addition, start by factoring out one of the powers of ten. Next, convert both scientific notation numbers to real numbers. Subtract the two numbers normally and convert to scientific notation if the coefficient is not between 1 and 10 or -1 and Return to practicing scientific notation. Scientific Notation written by Dr. Douglas P.