1. **Problem Statement:** When you divide a number by a number less than one, is the answer smaller or larger than the first number? Explain and give an example. 2. **Key Concept:** Dividing by a number less than one means dividing by a fraction or decimal between 0 and 1. 3. **Rule:** Dividing by a number less than one actually makes the result larger than the original number. This is because dividing by a fraction is the same as multiplying by its reciprocal, which is greater than 1. 4. **Formula:** If $a$ is the original number and $b$ is the divisor where $0 < b < 1$, then $$\frac{a}{b} = a \times \frac{1}{b}$$ Since $\frac{1}{b} > 1$, the result is larger than $a$. 5. **Example:** Let $a = 6$ and $b = 0.5$ (which is less than 1). $$\frac{6}{0.5} = 6 \times 2 = 12$$ Here, 12 is larger than the original number 6. 6. **Explanation:** Dividing by 0.5 means asking "how many halves are in 6?" Since each whole contains 2 halves, the answer is twice the original number. **Final answer:** When dividing by a number less than one, the result is larger than the original number.