Question

Which list shows these numbers in order from least to greatest?

a) 37/6,
b) -5.1717
c) √33
d) -26/5

Answer 1

To arrange -5.1717, -26/5, √33, and 37/6 from least to greatest: calculate or approximate each value, and then compare them. The correct order is -5.1717, -26/5, √33, and 37/6.

Step-by-step explanation:

To arrange the numbers 37/6, -5.1717, √33, and -26/5 from least to greatest, we first need to understand and compare each of these values.

• a) 37/6 is a fraction, and when calculated it equals approximately 6.1667.
• b) -5.1717 is already a decimal, so we can compare it directly.
• c) √33 is the square root of 33, and it equals approximately 5.7446 when calculated.
• d) -26/5 is also a fraction which reduces to -5.2.

Now, let's compare: -26/5 (-5.2) is greater than -5.1717; √33 (5.7446) is the next higher number; and finally, 37/6 (6.1667) is the greatest among them.

Therefore, the numbers in order from least to greatest are: -5.1717, -26/5, √33, 37/6.