Write the number in scientific notation.
0.000209
8,724,000,000
2.09 x 10^-4
8.724 x 10^9
To write a number in scientific notation, follow these steps:
1. For the first number, 0.000209, determine the non-zero digits to the left of the decimal point. In this case, it is '2'.
2. Count the number of decimal places to the right of the non-zero digit until you reach the decimal. Here we have 4 decimal places.
3. Write the non-zero digit followed by a decimal point, and then write the remaining digits after the decimal point. In this case, it would be '2.09'.
4. Finally, write 'x 10' raised to the power equal to the number of decimal places. In this case, it would be 'x 10^-4'.
So, the number 0.000209 in scientific notation is 2.09 x 10^-4.
Now let's move to the second number, 8,724,000,000.
1. Determine the non-zero digits to the left of the decimal point. Here it is '8'.
2. Count the number of decimal places to the right of the non-zero digit until you reach the decimal. In this case, there are no decimal places.
3. Write the non-zero digit followed by a decimal point. Then, write the remaining digits after the decimal point, if any. Here it would be '8.724000000'.
4. Finally, write 'x 10' raised to the power equal to the number of decimal places. Since there are no decimal places, the power is 0.
So, the number 8,724,000,000 in scientific notation is 8.724000000 x 10^0. However, since 10^0 is equal to 1, the scientific notation of 8,724,000,000 can be written as 8.724000000.