Order the following numbers from least to greatest: 2 over 5, 0.7, nine halves, square root 16.

Ordering the numbers from least to greatest:

0.7, square root 16, nine halves, 2 over 5

To order the numbers from least to greatest, we'll convert them into a common form, which is decimals.

1. Let's start with 2/5. To convert this fraction into a decimal, divide 2 by 5:

2 ÷ 5 = 0.4

So 2/5 is equal to 0.4.

2. Next, we have 0.7, which is already in decimal form.

3. Now, let's convert "nine halves" into a decimal. Nine halves can be written as a fraction - 9/2. To convert it into a decimal, divide 9 by 2:

9 ÷ 2 = 4.5

So, nine halves is equal to 4.5.

4. Finally, we have the square root of 16. The square root of 16 is 4.

Now, let's put the numbers in order from least to greatest:

0.4, 0.7, 4, 4.5

So, the numbers in ascending order are: 0.4, 0.7, 4, 4.5.

To order the numbers from least to greatest, we need to compare their values. Let's go through each number individually:

1. 2 over 5: To compare this fraction to the other numbers, convert it to decimal form. Divide 2 by 5: 2 ÷ 5 = 0.4. So, 2 over 5 is equivalent to 0.4.

2. 0.7: This number is already in decimal form.

3. Nine halves: Divide 9 by 2: 9 ÷ 2 = 4.5. So, nine halves is equivalent to 4.5.

4. Square root 16: The square root of 16 equals 4. So, the square root of 16 is equal to 4.

Now, we have the following numbers:

0.4, 0.7, 4.5, 4

Comparing these values, we can see that the numbers from least to greatest are:
0.4, 0.7, 4, 4.5