A number line shows the following numbers: −32, 0.5, 9–√, −2. Put them in the correct order on the number line

The correct order on the number line would be:

−32, −2, 0.5, 9–√

The following numbers are shown on a number line: 0.8, −112, −14, 2, −1.99. Which number is located farthest to the right?

To determine which number is located farthest to the right on the number line, we need to find the number with the highest value.

The numbers in ascending order are:
−112, −14, −1.99, 0.8, 2

Therefore, the number located farthest to the right is 2.

The following numbers are shown on the number line with letter labels: 0.8, −112, −14, 2, −1.99. Which of the numbers is located at point D?

To identify which of the numbers is located at point D, we need to refer to the given number line with letter labels. Unfortunately, you have not provided the letter labels for the number positions. Please provide the letter labels for the number line, and I will be able to determine which number is located at point D.

To put the numbers in the correct order on the number line, we need to determine their relative positions from left to right.

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–√.

To put the numbers −32, 0.5, 9–√, and −2 in the correct order on a number line, we need to compare their values.

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–√ -----