Question

Compare and order the numbers below from least to greatest.

4.6, 2.5, 7, √17, √
a) 2.5, 4.6, 7, √, √17
b) 2.5, √, 4.6, 7, √17
c) √, 2.5, 4.6, 7, √17
d) √, 2.5, 4.6, √17, 7

Answer 1

To order the numbers 4.6, 2.5, 7, and √17 from least to greatest, convert them into comparable forms, resulting in 2.5, 4.6, √17, 7. The standalone √ is a typo and excluded from the sequence.

Step-by-step explanation:

Ordering Numbers from Least to Greatest

To compare and order the numbers 4.6, 2.5, 7, and √17 from least to greatest, it is necessary to evaluate the square roots and compare them to the given numbers in decimal form. The numbers 2.5 and 4.6 are already in decimal form, and the number 7 is a whole number which remains the same. The square root of 17 (√17) can be estimated since 17 is between the perfect squares of 16 and 25 (whose square roots are 4 and 5, respectively), meaning that √17 is between 4 and 5. The missing operand represented as √ without a number seems to be a typographical error and thus cannot be accurately compared or ordered.

Given that we cannot evaluate the expression for √ without further information, we will exclude it from the ordering. Therefore, the correct order from least to greatest is:

1. 2.5 (since it's the smallest decimal)
2. 4.6 (next largest decimal)
3. √17 (since it falls between 4 and 5)
4. 7 (the largest whole number listed)

So, the sequence would be 2.5, 4.6, √17, 7, ignoring the √ with no value.