The correct order on the number line would be:
−32, −2, 0.5, 9–√
−32, −2, 0.5, 9–√
The numbers in ascending order are:
−112, −14, −1.99, 0.8, 2
Therefore, the number located farthest to the right is 2.
1. Start by arranging the numbers in ascending order:
−32, −2, 0.5, 9–√
2. Now, let's break it down:
a. First, consider the negative numbers:
─32, −2
b. Next, place 0.5 between the negative numbers and the positive numbers:
─32, −2, 0.5
c. Finally, consider the positive numbers:
─32, −2, 0.5, 9–√
3. To determine the correct order between −2 and 0.5, we can convert 0.5 to a fraction:
−2 is equivalent to −2/1, and 0.5 is equivalent to 1/2.
So, −2/1 < 1/2, meaning −2 is less than 0.5.
Therefore, the correct order on the number line is:
−32, −2, 0.5, 9–√.
First, let's start with the easiest numbers to compare, which are −32 and 0.5. Since 0.5 is positive and greater than −32, we can place it to the right of −32 on the number line.
Next, let's compare 0.5 and 9–√ (where the symbol "–" represents the minus sign in front of the square root). To compare these numbers, we need to find the value of 9–√.
Assuming √ denotes the principal square root, we know that the square root of a number is always positive. Therefore, 9–√ is a value less than 9 but greater than 0.
Now, let's compare 0.5 and −2. Since −2 is negative, it should be placed to the left of 0.5 on the number line.
Lastly, let's compare 9–√ and −2. We know that 9–√ is greater than 0 and −2 is less than 0, so 9–√ should be placed to the right of −2 on the number line.
Putting it all together:
-32, −2, 0.5, 9–√
On the number line, it would look something like this:
------------------ -32 ----- -2 ---- 0.5 ----- 9–√ -----