# How do you order the following from least to greatest #sqrt14, sqrt(49/36), 3 3/5, 3#?

##### 2 Answers

#### Explanation:

The first problem is that the values are all in different formats.

Comparing decimals is the easiest to do. Change them all to decimals.

The obvious and easiest method is to just use a calculator, but that's a cop-out and only involves pushing buttons. Let's think through the question instead....

We need to calculate this one.

Now we can arrange them in order using the original formats.

The order from smallest to largest is:

#### Explanation:

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As it happens the values are such that the answer is till correct but this is more by luck!

The problem is that

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Original values:

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Consider

Magnify the difference by multiplying by, say 100, and round the numbers to the nearest whole number for comparison.

Giving:

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Remember that

So the order lowest to highest is: