Convert Mixed Number to Decimal: Solving 10 105/1000

Question

Convert 101051000 10\frac{105}{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 100, place the numerator 3 digits after
00:31 Convert to decimal fraction
00:36 Use long addition for calculation
00:41 Calculate and substitute accordingly
01:02 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will convert the given mixed number 10105100010\frac{105}{1000} into a decimal.

Step 1: Convert the fractional part 1051000\frac{105}{1000} to a decimal. We do this by dividing the numerator, 105105, by the denominator, 10001000.

1051000=0.105 \frac{105}{1000} = 0.105

Step 2: Add this decimal result to the whole number part. The whole number part is 1010.

10+0.105=10.10510 + 0.105 = 10.105

Therefore, the decimal representation of 10105100010\frac{105}{1000} is 10.10510.105.

Answer

10.105