Question

Which list shows the following numbers in order from least to greatest:
79,5–√,40%,8–√3

Answer 1

The numbers in order from least to greatest are 40%,
`\(5-√(3)\`),
`\(8-√(3)\)`, and 79, which when converted into decimal form are 0.40, 3.27, 6.27, and 79 respectively.

Step-by-step explanation:

To arrange the given numbers 79,
`\(5-√(3)\)`, 40%,
`\(8-√(3)\)` from least to greatest, we first need to convert them all to the same form, most conveniently into decimal numbers. Starting with 40%, we convert it to decimal by dividing by 100, which gives us 0.40. The number 79 is already an integer, so we leave it as is. The expressions involving square roots must be evaluated using a calculator or by knowing their approximate decimal values;
`\(5-√(3)\)` is approximately equal to 3.27, and
`\(8-√(3)\)` is approximately equal to 6.27.

Now we can list the numbers in decimal form: 3.27, 6.27, 0.40, and 79. From these values, it is clear that the order from least to greatest is 0.40 (40%),
`\(3.27 (\(5-√(3)\)))`,
`\(6.27 (\(8-√(3)\)))`, and finally 79.