Subjects algebra

Multiply By 5 864083

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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.