Write in scientific notation form
Scientific notation is a way to express large or small numbers in a compact form. It is written in the form of a number between 1 and 10 multiplied by a power of 10. For example, the number 40,000 can be written in scientific notation as 4 × 10^4.
To convert a number into scientific notation, we need to consider the number of decimal places we need to move the decimal point to express it as a number between 1 and 10.
Let's consider an example: 0.0000032
To express this number in scientific notation, we need to move the decimal point 6 places to the right until we have only one non-zero digit to the left of the decimal point.
Thus, 0.0000032 can be written as 3.2 × 10^(-6) in scientific notation.
Scientific notation is a way to express numbers that are very large or very small using powers of 10. The general form of scientific notation is:
a × 10^b
where "a" is a number between 1 and 10 (inclusive) and "b" is an integer exponent that indicates how many places the decimal point should be moved.
To convert a number to scientific notation, follow these steps:
1. If the number is not already in decimal form, convert it to decimal form.
2. Determine the value of "a" by moving the decimal point so that there is only one non-zero digit to the left of the decimal point. Count the number of decimal places you moved the decimal point. "a" is the number you obtained without the decimal point.
3. Determine the value of "b" by counting the number of places you moved the decimal point. If you moved the decimal point to the right, "b" will be negative. If you moved the decimal point to the left, "b" will be positive.
4. Write the number in scientific notation form as "a × 10^b".
For example, let's convert the number 750,000 to scientific notation:
1. The number is already in decimal form.
2. Moving the decimal point to the left, we get 7.5. So, "a" is 7.5.
3. We moved the decimal point 5 places to the left, so "b" is -5.
4. Therefore, 750,000 in scientific notation is 7.5 × 10^-5.
To write a number in scientific notation form, follow these steps:
1. Identify the original number. Let's say it's "x".
2. Determine the power of 10 needed to express "x" as a number between 1 and 10. To do this, count the number of decimal places you need to move to the left or right to get a number between 1 and 10. For example, if "x" is 450, you would move the decimal point two places to the left to get 4.5, so the power of 10 would be -2.
3. Express the original number "x" multiplied by a power of 10 (step 2) in the form of "a × 10^b". "a" represents the decimal number between 1 and 10, and "b" is the power of 10 you calculated in step 2. For example, if "x" is 450, "a" would be 4.5 (once the decimal point has been moved to the left), and "b" would be -2. Therefore, 450 in scientific notation would be written as 4.5 × 10^-2.