A number line shows the following numbers: −32, 0.5, 9–√, −2. Put them in the correct order on the number line.
OK so the correct answer is actually
-2
-3/1
0.5
√9
On the number line, the order would be:
-32 -2 0.5 9–√
To put the numbers in the correct order on the number line, we start by evaluating each number.
1. Let's start with −32. This number is the smallest since it is the farthest to the left on the number line.
2. Next, we have −2. This number is larger than −32 but smaller than 0.5 and 9−√.
3. Then, we have 0.5. This number is bigger than −2 and smaller than 9−√.
4. Finally, we have 9−√. This number is the largest since it is farther to the right on the number line compared to −2 and 0.5.
So, the correct order on the number line would be:
−32, −2, 0.5, 9−√.
To put the numbers in the correct order on the number line, we need to compare them from the smallest to the largest. Let's look at each number:
1. −32: This is the smallest number given. It is located to the left of 0 on the number line.
2. 0.5: This number is greater than −32 but less than 0. It is located between −32 and 0 on the number line, closer to 0.
3. 9 – √: To determine the position of this number on the number line, we need to evaluate the expression. The square root (√) of any number is always positive, so 9 – √ is greater than 9. Therefore, it is located to the right of 9 on the number line.
4. −2: This number is greater than −32 and less than 0. It is located between −32 and 0 on the number line, closer to 0.
So, the correct order of the numbers on the number line is:
−32, −2, 0.5, 9 – √