Converting 0.0000507 into Standard Form
Standard form is a way of expressing a number using powers of 10. In standard form, a number is written as a decimal number between 1 and 10 multiplied by a power of 10.
Step 1: Identify the Decimal Place Value
The first step in converting 0.0000507 into standard form is to identify the decimal place value of the number. In this case, the decimal point is after the last digit, so the decimal place value is:
- 0.0000507 = 5 hundred-thousandths + 7 ten-millionths
Step 2: Move the Decimal Point
To convert the number into standard form, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Each time we move the decimal point to the right, we need to multiply the number by 10 to keep the value of the number the same.
- 0.0000507 = 5.07 × 0.00001
- 5.07 × 0.00001 = 5.07 × 10-5
Step 3: Write in Standard Form
Now that we have moved the decimal point to the right, we can write the number in standard form. The exponent of 10 tells us how many places we moved the decimal point to the right.
Final Answer
The number 0.0000507 in standard form is: