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The problem asks which drill bits Pablo's son should give him based on the fractional and decimal measurements provided. Pablo needs two sizes: **0.500 inches** and **1/16 inches**. 

To solve this, let's break it down:

1. **First drill bit size**: 0.500 inches  
   This is already given in decimal form. We just need to find this value in the table.

2. **Second drill bit size**: \( \frac{1}{16} \) inches  
   We can convert this to decimal form by dividing 1 by 16:
   \[
   \frac{1}{16} = 0.0625
   \]

Now, we need to match both values to those available in the table. The values provided are:

\[
\frac{1}{4}, 0.25, 0.1, \frac{3}{4}, 0.625, \frac{1}{2}, \frac{1}{10}, 0.0625, 0.75, \frac{1}{8}
\]

### Match the values:

- **0.500**: This is equivalent to \( \frac{1}{2} \), so the first drill bit size is \( \frac{1}{2} \).
- **0.0625**: This matches exactly with the second value in the table, \( 0.0625 \).

Thus, Pablo's son should give him the **\( \frac{1}{2} \) inch** and **0.0625 inch** (or \( \frac{1}{16} \) inch) drill bits.

Would you like further details or have any questions?

### Related questions:
1. How would you convert other fractions to decimals in the table?
2. What is the decimal equivalent of \( \frac{3}{4} \)?
3. If the table had a value of \( 0.75 \), what would its fraction equivalent be?
4. How would you approach a similar problem with different measurements?
5. Why is it important to know both fractional and decimal forms in practical situations like this?

**Tip**: Always remember that converting fractions to decimals involves simple division, which can often help in matching measurements more quickly.

Pablo necesita hacer algunas perforaciones con taladro para reparar la instalación eléctrica de su casa, para ello le pidió a su hijo la broca de 0.500 pulgadas y la de 1/16 pulgadas. Si las medidas de las brocas en pulgadas que tiene Pablo son las que se muestran en la tabla, ¿cuáles debe darle su hijo?

Learn how to choose the correct drill bits by converting fractional measurements to decimals. In this example, Pablo needs 0.500 inches and 1/16 inches for a repair, which are equivalent to 1/2 and 0.0625 inches. This practical exercise helps students in Grades 5-7 understand measurement conversion.

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