Question

Put the following numbers in order from greatest to least: π2, -0.0875, √4, 36/6, -7/8, -√4.

A) 36/6, √4, -√4, -0.0875, -7/8, π2
B) π2, √4, 36/6, -√4, -0.0875, -7/8
C) 36/6, √4, π2, -√4, -0.0875, -7/8
D) -7/8, -0.0875, -√4, 36/6, √4, π*2

Answer 1

The correct order from greatest to least is option C:

36

/

6

,

4

,

�

2

,

−

4

,

−

0.0875

,

−

7

8

36/6,

4

​

,π

2

,−

4

​

,−0.0875,−

8

7

​

.

Step-by-step explanation:

To determine the order of the given numbers, let's evaluate each expression:

36

/

6

=

6

36/6=6

4

=

2

4

​

=2

�

2

≈

9.87

π

2

≈9.87

−

4

=

−

2

−

4

​

=−2

−

0.0875

−0.0875 (given as is)

−

7

8

−

8

7

​

Arranging these values in descending order, we get

9.87

,

6

,

2

,

−

2

,

−

0.0875

,

−

7

8

9.87,6,2,−2,−0.0875,−

8

7

​

. Therefore, option C correctly represents the order from greatest to least.

Understanding numerical values, mathematical operations, and their order allows us to compare and arrange numbers effectively. This skill is crucial in various fields, including mathematics, science, and finance, where precise ordering of values is necessary for accurate analysis and decision-making.

Answer 2

The order from greatest to least is -7/8, -0.0875, -√4, 36/6, √4, π2. Thus the correct option is D.

Step-by-step explanation:

To arrange the numbers from greatest to least, let's evaluate each expression. First, simplify: π2 ≈ 9.87, √4 = 2, 36/6 = 6, -7/8 ≈ -0.875, and -√4 = -2. Now, comparing the values: π2 (9.87) is the greatest, followed by √4 (2), then 36/6 (6), -√4 (-2), -0.0875, and finally, -7/8 (-0.875). Hence, the correct order is -7/8, -0.0875, -√4, 36/6, √4, π2.

The arrangement is based on comparing the values numerically. π2, an approximation of 9.87, stands as the largest among the given numbers. √4 equals 2, which comes next, followed by 36/6, equivalent to 6. Moving to the negative values, -√4 evaluates to -2, placing it after 36/6. Further down the line, -0.0875 falls next in order. Lastly, -7/8, approximately -0.875, is the smallest among the given numbers.

When evaluating mathematical expressions to compare their sizes, it's crucial to simplify and consider their numerical values. The order of operations and understanding the properties of numbers—such as the nature of negative values and square roots—help in arranging them from greatest to least accurately. By applying these principles and evaluating the expressions, the correct order can be established. Thus the correct option is D.