Final answer:
To order the given numbers, determine their values: \(\sqrt{49}\) is 7, 2 is already a whole number, and \(\sqrt{3}\) is approx. 1.73. Now, order them as 1.58, \(\sqrt{3}\), 2, 6.8, \(\sqrt{49}\).
Step-by-step explanation:
To order the numbers \(\sqrt{49}\), 6.8, 2, \(\sqrt{3}\), and 1.58 from least to greatest, we need to first determine their approximate or exact values. The square root of 49 is 7, because 7 x 7 equals 49. Next, we notice that 2 is already a whole number, and we can clearly see that 1.58 is less than 2. To find the value of \(\sqrt{3}\), we can use a calculator or estimate that it is somewhere between 1 and 2, because the square root of 4 is exactly 2 and 3 is less than 4. In this case, \(\sqrt{3}\) is approximately 1.73. Now we can easily compare these values:
1. 1.58
2. \(\sqrt{3}\) or approximately 1.73
3. 2
4. 6.8
5. \(\sqrt{49}\) or 7