Question

Without using a calculator, order the following expressions from least to greatest:

7.12
√75
145
a) 7.12 ; √75 ; 145
b) √75 ; 145 ; 7.12
c) 145 ; 7.12 ; √75
d) none of the above

Answer 1

The correct order of the given expressions from least to greatest is: √75, 7.12, 145.

Step-by-step explanation:

The correct order of the given expressions from least to greatest is:

1. √75
2. 7.12
3. 145

We can determine the order of these expressions without using a calculator by comparing their values. The square root of 75 (√75) is approximately 8.66, which is less than 7.12. Hence, √75 comes first. Next, we have 7.12 which comes before 145. Therefore, the correct order is √75, 7.12, 145. Consequently, this methodical evaluation reveals the order of the given expressions, showcasing their hierarchical arrangement based on their respective values without the need for precise calculations.