1. 12,789 as a scientific notation
2. 654,987034 as a scientific notation
1. 12,789 in scientific notation is written as 1.2789 × 10^4.
2. 654,987,034 in scientific notation is written as 6.54987034 × 10^8.
1. To express 12,789 in scientific notation, we need to move the decimal point to a position where there is only one non-zero digit to the left of it. Since 12,789 already satisfies this condition, we can write it as:
1.2789 x 10^4
2. To express 654,987,034 in scientific notation, we again need to move the decimal point to a position where there is only one non-zero digit to the left of it. In this case, we can write it as:
6.54987034 x 10^8
To convert a number to scientific notation, you need to follow these steps:
1. Determine the decimal point position: Count the number of digits to the left of the decimal point in the original number. In scientific notation, the decimal point should be after the first digit.
Let's convert the numbers you provided:
1. 12,789: The decimal point is after the first digit, so it is 1.2789.
2. 654,987,034: The decimal point is after the first digit, so it is 6.54987034.
2. To express the decimal portion as a number between 1 and 10: Move the decimal point to the right until there is only one digit to the left of it. Count the number of positions you moved the decimal point.
1.2789 can be expressed as 1.2789 * 10^4 since we moved the decimal point four positions to the right.
6.54987034 can be expressed as 6.54987034 * 10^7 since we moved the decimal point seven positions to the right.
Therefore, the scientific notations for the given numbers are:
1. 12,789 = 1.2789 * 10^4
2. 654,987,034 = 6.54987034 * 10^7