Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between and
10−−√ is between 3 and 4 on a number line.
Therefore, the nearest whole number to 10−−√ is 3 and the nearest rational number to 10−−√ to the nearest half is 3.5.
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between 3 and
10−−√ is between 3 and 4 on a number line.
Therefore, the nearest whole number to 10−−√ is 3 and the nearest rational number to 10−−√ to the nearest half is 3.5.
stop ur wrong
Apologies for the incorrect response. 10−−√ is actually between 3 and 4 on a number line. The nearest whole number to 10−−√ is 3, and the nearest rational number to the nearest half is 3.5.
To find the whole number and rational number nearest to √10 on a number line, we need to determine the numbers that are less than and greater than √10.
On a number line, we can see that √10 is between 3 and 4:
```
|--------|--------|--------|
2 3 4 5
```
Since √10 is closer to 3 than to 4, and the nearest half to √10 would be 3.5. Hence, √10 is between the whole number 3 and the rational number 3.5.
To determine which whole number and rational number to the nearest half is 10−−√ between, we can use a number line to visualize the values.
A number line is a straight line with evenly spaced points representing numbers. We can use it to locate the different values and identify their positions relative to one another.
1. First, find the whole number that 10−−√ is closest to. Since the square root of 10 is approximately 3.16, 10−−√ will be close to 3.
──┬──┬──┬──┬──┬──┬───┬──┬──┬──┬───┐
...│ 0│ 1│ 2│ 3│ 4│ 5│ 6│ 7│ 8│ 9│ 10│...
──┴──┴──┴──┴──┴──┴───┴──┴──┴──┴───┘
2. Since 10−−√ is less than 3.5 (halfway between 3 and 4), it will be closer to 3. Therefore, the whole number to the nearest half is 3.
──┬──┬──┬──┬──┬──┬───┬──┬──┬──┬───┐
...│ 0│ 1│ 2│.3│ 4│ 5│ 6│ 7│ 8│ 9│ 10│...
──┴──┴──┴──┴──┴──┴───┴──┴──┴──┴───┘
3. Now, to find the rational number to the nearest half, we need to look at the number line in increments of halves. The nearest half to 3 is 2.5.
──┬──┬──┬──┬──┬──┬───┬──┬──┬──┬───┐
...│ 0│ 1│.2│ 2│.3│ 4│ 5│ 6│ 7│ 8│ 9│ 10│...
──┴──┴──┴──┴──┴──┴───┴──┴──┴──┴───┘
Therefore, 10−−√ is between 3 and 2.5 on the number line.