Question

Which number is a rational, terminating decimal?(1 point)
Responses

0.363636...
0.363636...

64−−√
square root of 64

511
5 over 11

7/9

Match the point on the number line best associated with each irrational number:



(4 points)
59−−√
91−−√
38−−√
52−−√
responses
e
a
d
b
c

Answer 1

To identify the rational, terminating decimal from the list, let's evaluate each option:

1. **0.363636...** - This is a repeating decimal and is therefore not a terminating decimal.

2. **√64** - This equals 8, which is a whole number and also a rational terminating decimal.

3. **5/11** - This is a fraction that results in a repeating decimal (0.454545...), so it is not a terminating decimal.

4. **7/9** - Like 5/11, this fraction also results in a repeating decimal (0.7777...), so it is not a terminating decimal.

Therefore, **the rational, terminating decimal is √64, which equals 8.**

Now, for matching the irrational numbers with points on the number line, let's first evaluate each square root:

1. **√59** - The square root of 59 is approximately 7.68 (between 7 and 8).

2. **√91** - The square root of 91 is approximately 9.54 (between 9 and 10).

3. **√38** - The square root of 38 is approximately 6.16 (between 6 and 7).

4. **√52** - The square root of 52 is approximately 7.21 (between 7 and 8).

Now let's match these:

- Point **(a)** is likely associated with √38 (approximately 6.16).
- Point **(b)** is likely associated with √52 (approximately 7.21).
- Point **(c)** is likely associated with √59 (approximately 7.68).
- Point **(d)** is likely associated with √91 (approximately 9.54).

So the final matches could be as follows:

- **√59** -> **c**
- **√91** -> **d**
- **√38** -> **a**
- **√52** -> **b**

If there are specific labels on the number line or more context needed, please provide that, and I would be glad to assist further!