Express the following in scientific notation
1) 547 000.0
2) 0.000000049704
5.470000 * 10^5
4.9704 * 10^-8
To express a number in scientific notation, follow these steps:
1) Start by moving the decimal point to the right or left until only one non-zero digit is to the left of the decimal point.
2) Count the number of places you have moved the decimal point.
3) Write the remaining digits, without zeros, followed by multiplication by 10 raised to the power of the count of the decimal places you moved.
Now let's apply these steps to the given numbers:
1) To express 547 000.0 in scientific notation:
- Move the decimal point to the left until we have only one non-zero digit to the left of the decimal point:
547 000.0 -> 5.470000
- We moved the decimal point 5 places to the left.
- Write the remaining digits without zeros followed by multiplication by 10 to the power of the count of decimal places we moved:
5.470000 × 10^5
So, 547 000.0 in scientific notation is 5.470000 × 10^5.
2) To express 0.000000049704 in scientific notation:
- Move the decimal point to the right until we have only one non-zero digit to the left of the decimal point:
0.000000049704 -> 4.9704
- We moved the decimal point 8 places to the right.
- Write the remaining digits without zeros followed by multiplication by 10 to the power of the count of decimal places we moved:
4.9704 × 10^(-8)
So, 0.000000049704 in scientific notation is 4.9704 × 10^(-8).