Question: To find 5 times any number, Taylor first multiplies by 10 and then finds half the product
1. **State the problem:** Taylor wants to find 5 times any number by first multiplying the number by 10 and then taking half of the result.
2. **Formula used:** To find 5 times a number $x$, the direct formula is $$5 \times x$$.
3. **Taylor's method:**
- First multiply the number by 10: $$10 \times x$$.
- Then find half of that product: $$\frac{1}{2} \times (10 \times x)$$.
4. **Simplify Taylor's method:**
$$\frac{1}{2} \times (10 \times x) = \frac{10x}{2} = 5x$$.
5. **Explanation:**
Taylor's method works because multiplying by 10 and then taking half is equivalent to multiplying by 5.
6. **Conclusion:**
Taylor's method correctly finds 5 times any number by multiplying by 10 and then halving the product.