Math  /  Numbers & Operations

QuestionDrag the numbers below to put them in order from least to greatest: 3.7023.7853.633.6213.63.73\begin{array}{llllll} 3.702 & 3.785 & 3.63 & 3.621 & 3.6 & 3.73 \end{array}

Studdy Solution

STEP 1

1. We are given a list of numbers: 3.702,3.785,3.63,3.621,3.6,3.733.702, 3.785, 3.63, 3.621, 3.6, 3.73.
2. The task is to arrange these numbers from the least to the greatest.
3. Each of these numbers is a decimal number.

STEP 2

1. Compare the whole number parts of each number.
2. Compare the decimal parts of numbers with the same whole number part.
3. Arrange the numbers in increasing order based on the comparisons.

STEP 3

Identify the whole number parts of all the given numbers. Since all the numbers have the same whole number part (3), we focus on comparing their decimal parts.

STEP 4

Compare the decimal parts of the given numbers. We will list the decimal parts for clarity: 0.702,0.785,0.63,0.621,0.6,0.730.702, 0.785, 0.63, 0.621, 0.6, 0.73.

STEP 5

Compare the decimal parts 0.702,0.785,0.63,0.621,0.6,0.730.702, 0.785, 0.63, 0.621, 0.6, 0.73 to determine their order from least to greatest.
- 0.6<0.621<0.63<0.702<0.73<0.7850.6 < 0.621 < 0.63 < 0.702 < 0.73 < 0.785

STEP 6

Arrange the original numbers based on the order of their decimal parts:
- 3.6<3.621<3.63<3.702<3.73<3.7853.6 < 3.621 < 3.63 < 3.702 < 3.73 < 3.785
Solution: The numbers in order from least to greatest are: 3.6,3.621,3.63,3.702,3.73,3.7853.6, \, 3.621, \, 3.63, \, 3.702, \, 3.73, \, 3.785

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