how would you write 20,500 in exponential notation form .
What is 2.05*10^4 ?
For exponential notation:
You want to express the number as a value greater or equal to 1 and less than 10 multiplied by a power of 10
Examples:
102.4 = 1.024 * 10^(2)
0.00343 = 3.43 * 10^(-3)
17,434 = 1.7434 * 10^(4)
So, 20,500 = ?
To write 20,500 in exponential notation form, we need to express it as a number multiplied by a power of 10. Exponential notation form is also known as scientific notation.
Step 1: Identify the number you want to express in exponential notation.
In this case, the number is 20,500.
Step 2: Rewrite the number in the form of a decimal between 1 and 10.
To do this, we move the decimal point three places to the left, as there are three zeros at the end of the number 20,500. So the number becomes 2.0500.
Step 3: Determine the power of 10 by counting the number of places you moved the decimal point.
In this case, we moved the decimal point three places to the left. So the power of 10 is -3.
Step 4: Express the number in exponential notation form.
Combine the decimal from Step 2 with the power of 10 from Step 3: 2.0500 x 10^(-3).
So, 20,500 in exponential notation form is 2.0500 x 10^(-3).