Question

Imani was asked to place the following numbers in order from least to greatest: 12.1 , √140, √136, and 11.7. Imani put the numbers in this order: 11.7, √136, 12.1, √140. Arrange the numbers in the correct order from least to greatest.

1) 11.7, √136, √140, 12.1
2) 11.7, √136, 12.1, √140
3) √136, 11.7, 12.1, √140
4) √136, 11.7, √140, 12.1

Answer 1

To arrange the numbers from least to greatest, compare their decimal values and approximate the square roots. The correct order is 11.7, √136, √140, 12.1.

Step-by-step explanation:

To arrange the numbers from least to greatest, let's compare them using their decimal values. We have 11.7, 12.1, and the square roots of 136 and 140. Comparing 11.7 and 12.1, we see that 11.7 is smaller. Then, let's compare the square roots. To do this, we need to find the approximate decimal values of the square roots. The square root of 136 is approximately 11.66, and the square root of 140 is approximately 11.83. Therefore, the correct order from least to greatest is 11.7, √136, √140, 12.1. So, the answer is option 1) 11.7, √136, √140, 12.1.