1.8984375 E-20 is on a calculator. What is the 20th digit to the right of the decimal. I need to know how to work it, not the answer.
Since your calculator can only display 8 significant figures, there is no way of telling what the 20th digit is. That number may have been previously "thrown out" following a rounding-off step.
If that number appeared as a result of a previous calculation, try multiplying your displayed number by 1E20 and subtracting
1.8984375 from the answer. You might get the next 8 numbers to the right of "5".
To find the 20th digit to the right of the decimal point in a number like 1.8984375 E-20, you can follow these steps:
Step 1: Convert the number to scientific notation if it is not already in that form. In this case, 1.8984375 E-20 is already in scientific notation.
Step 2: Determine the value of the exponent. The exponent is -20 in this case.
Step 3: The 20th digit to the right of the decimal point will be found by multiplying the significant digits of the number by 10 raised to the power of the exponent.
So, to find the 20th digit:
- Multiply the significant digits (1.8984375) by 10 raised to the -20 power.
- Count the digits to the right of the decimal point until you reach the 20th digit.
Follow these steps, and you will be able to find the 20th digit to the right of the decimal point in the given number on the calculator.
To find the 20th digit to the right of the decimal in the number 1.8984375 E-20, you can use scientific notation and understand the place value system.
1. Start by understanding the scientific notation: The number 1.8984375 E-20 can be written as 1.8984375 multiplied by 10 raised to the power of -20.
2. Scientific notation allows us to express very large or very small numbers in a compact way. In this case, the number is very small because of the negative exponent (-20), indicating that it is close to zero.
3. To find the 20th digit to the right of the decimal, first, take the number without the exponent (1.8984375) and observe its pattern.
4. Notice that the digits to the right of the decimal point repeat in a predictable pattern: 8984375. This pattern continues indefinitely since it is a decimal representation of a fraction. Therefore, the 20th digit to the right of the decimal can be found by determining the position of the digit within the repeating pattern.
5. Divide 20 by 7 (the number of repeating digits in the pattern) to determine the position of the 20th digit within the repeating pattern. In this case, 20 divided by 7 is equal to 2 with a remainder of 6.
6. Since the remainder is 6, the 20th digit to the right of the decimal in the pattern is the 6th digit. Therefore, the 20th digit to the right of the decimal in the number 1.8984375 E-20 is the 6th digit in the repeating pattern: 1.8984375 8984375 89843...
By understanding the scientific notation and the repeating pattern of the decimal digits, you can determine the position of any digit to the right of the decimal in a given number.