Convert Mixed Number 9 1/1000 to Decimal Form: Step-by-Step

Question

Convert 911000 9\frac{1}{1000} into a decimal.

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Break down the number into whole number and remainder
00:17 When the denominator equals 1000, place the numerator 3 digits after
00:28 Add to decimal fraction
00:38 Use long addition for calculation
00:47 Calculate and substitute accordingly
01:03 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to convert the mixed number 9110009\frac{1}{1000} into its decimal form. Let's execute this in a series of well-defined steps:

  • Step 1: Convert the fractional part to a decimal.
    The fraction 11000\frac{1}{1000} corresponds to the thousandths place. Thus, 11000=0.001\frac{1}{1000} = 0.001.
  • Step 2: Combine the whole number and the decimal.
    The whole number part of our mixed number is 9. To convert 9110009\frac{1}{1000} to a decimal, we simply add the decimal fraction to the whole number. Therefore, we have: 9+0.001=9.001 9 + 0.001 = 9.001

Therefore, the decimal representation of 9110009\frac{1}{1000} is 9.001.

The correct choice from the given options is 9.001\boxed{9.001}.

Answer

9.001