How many times is 0.1 greater than 0.01?

Options

A. 100 times
B. 10 times
C. 1000 times
D. 1 times

Explanation

To determine how many times 0.1 is greater than 0.01, we can follow these steps:

### Step 1: Understand the relationship between the two numbers
We need to find out how many times 0.1 is greater than 0.01. This can be expressed mathematically as:
\[ \text{How many times} = \frac{0.1}{0.01} \]

**Hint:** To find out how many times one number is greater than another, you can divide the larger number by the smaller number.

### Step 2: Perform the division
Now, we will perform the division:
\[ \frac{0.1}{0.01} \]

To make the division easier, we can convert both numbers into fractions:
- \( 0.1 = \frac{1}{10} \)
- \( 0.01 = \frac{1}{100} \)

Now, substituting these values into our division:
\[ \frac{\frac{1}{10}}{\frac{1}{100}} \]

**Hint:** Dividing by a fraction is the same as multiplying by its reciprocal.

### Step 3: Simplify the division
When we divide by a fraction, we multiply by its reciprocal:
\[ \frac{1}{10} \times \frac{100}{1} = \frac{100}{10} \]

Now, simplifying \( \frac{100}{10} \):
\[ \frac{100}{10} = 10 \]

**Hint:** Always simplify your fractions to get the final answer.

### Step 4: Conclusion
Thus, 0.1 is 10 times greater than 0.01.

**Final Answer:** 0.1 is 10 times greater than 0.01.