What is the value of 0.00140?

Options

A. `14//100`
B. `14//1000`
C. `14//10000`
D. `14//100000`

Answer

To find the value of 0.00140, we can convert it into a fraction. Here’s a step-by-step solution:

### Step 1: Identify the decimal number
The given number is 0.00140.

### Step 2: Count the number of decimal places
Count how many digits are to the right of the decimal point. In 0.00140, there are 5 digits after the decimal.

### Step 3: Convert to fraction
To convert a decimal to a fraction, we can write the number without the decimal as the numerator and use a power of 10 as the denominator. Since there are 5 digits after the decimal, we will use \(10^5\) (which is 100000) as the denominator.

So, we can write:
\[ 0.00140 = \frac{140}{100000} \]

### Step 4: Simplify the fraction
Next, we simplify the fraction \(\frac{140}{100000}\). We can divide both the numerator and the denominator by 10:
\[ \frac{140 \div 10}{100000 \div 10} = \frac{14}{10000} \]

### Step 5: Final answer
Thus, the value of 0.00140 in fraction form is \(\frac{14}{10000}\).