Order the following numbers from least to greatest. square root 7, -2.3, square root 3, 5.1, -1/3
To order the numbers from least to greatest, we can start by finding their approximate values.
First, let's calculate the approximate values of the square roots:
- √7 is approximately 2.65 (rounded to two decimal places)
- √3 is approximately 1.73 (rounded to two decimal places)
Next, let's compare the numbers:
-2.3 < -1/3 < 1.73 < 2.65 < 5.1
Now we can order the numbers from least to greatest:
-2.3, -1/3, √3, √7, 5.1
To order the given numbers from least to greatest, we need to compare and arrange them in ascending order.
Let's begin:
1. We know that -2.3 is the smallest number.
Next, we need to compare the remaining numbers:
2. The square root of 7 is approximately 2.646.
3. The square root of 3 is approximately 1.732.
4. -1/3 is less than 1, but it is greater than the square root of 3.
Now, let's list the numbers from least to greatest:
-2.3, -1/3, square root 3, square root 7, 5.1
Therefore, the numbers, from least to greatest, are:
-2.3, -1/3, square root 3, square root 7, 5.1