Question

According to the Closure Property, which of these sums results in a rational number? (1 point)
0 0.6 + 10
0 T+ V4
• 136 + v221
• 0.643892553
3
.十
4

Answer 1

To determine which of the sums results in a rational number, we need to evaluate each option:

1. \( 0 + 0.6 + 10 \)
- This simplifies to \( 0.6 + 10 = 10.6 \), which is a rational number.

2. \( 0 + T + V4 \)
- Assuming "T" and "V4" stand for two values that aren't specified here, and without additional information on what "T" and "V4" represent, we can't determine if this sums to a rational number.

3. \( 136 + \sqrt{221} \)
- Since \( \sqrt{221} \) is an irrational number, the sum of a rational number (136) and an irrational number (\( \sqrt{221} \)) will result in an irrational number.

4. \( 0.643892553 \)
- This is a decimal representation of a number, which is a rational number.

5. \( 3 + 4 \)
- This simplifies to \( 7 \), which is a rational number.

From the above analysis, the sums that result in rational numbers are:
1. \( 0 + 0.6 + 10 \) (which results in \( 10.6 \)),
4. \( 0.643892553 \) (already stated), and
5. \( 3 + 4 \) (which results in \( 7 \)).

So, at least three of these sums result in rational numbers.