Convert Fraction to Decimal: Solving 100/1000 Step-by-Step

Question

Convert 1001000 \frac{100}{1000} into a decimal.

Video Solution

Solution Steps

00:04 Let's convert this to a decimal fraction.
00:07 We'll look at the number of zeros in the denominator. This tells us how far to move the decimal point to the left.
00:13 Here, we have three zeros, so we move the decimal point three places to the left.
00:19 Position the numerator three digits after the decimal point.
00:28 Next, we remove any extra zeros.
00:35 And that's how we find the answer!

Step-by-Step Solution

To solve this problem, let us follow these steps:

  • Step 1: Understand the given fraction 1001000\frac{100}{1000}.
  • Step 2: Simplify the fraction if possible.
  • Step 3: Convert the simplified fraction into a decimal.

Now, let's dive into the details:

Step 1: We are given 1001000\frac{100}{1000}. This fraction represents 100 divided by 1000.

Step 2: The fraction can be simplified because both the numerator (100) and denominator (1000) have a common factor of 100.
Dividing both by 100 gives:

1001000=110 \frac{100}{1000} = \frac{1}{10}

Step 3: Convert 110\frac{1}{10} into a decimal:

The fraction 110\frac{1}{10} means one-tenth, which can be directly written as the decimal 0.10.1.

There are also other decimal forms which retain the same value such as 0.100.10 and 0.1000.100, which are legitimate representations with different coverage of decimal precision.

Therefore, the decimal representation of 1001000\frac{100}{1000} is 0.1, and among the choices provided, the answer choice representing this is "All answers are correct".

Answer

All answers are correct