Question

Use the number line to help order the numbers from least to greatest

Answer 1

Utilizing the number line, we ordered the sets as follows:

Set 12: -3/2, -1.25, 1.25, 1 1/2

Set 13: -0.75, -0.5, 3/4, 1/2

Set 14: -1.5, -1, 0.75, 2

To order the given sets of numbers from least to greatest, we can use the number line to visually represent their positions.

Set 12:

1.25, -3/2, -1.25, 1 1/2

The number line helps in arranging these values. Starting from the left, we have -3/2, then -1.25, followed by 1.25, and finally, 1 1/2. So, the order from least to greatest is -3/2, -1.25, 1.25, 1 1/2.

Set 13:

-0.5, 1/2, -0.75, 3/4

On the number line, we can place these values in the order -0.75, -0.5, 3/4, 1/2. Therefore, the order from least to greatest is -0.75, -0.5, 3/4, 1/2.

Set 14:

-1.5, 0.75, -1, 2

When arranged on the number line, the order becomes -1.5, -1, 0.75, 2. Hence, the correct order from least to greatest is -1.5, -1, 0.75, 2.

Answer 2

Given:

The given numbers are 1.25, (-3/2), -1.25, 1(1/2).

The objective is to arrange the numbers from least to greatest.

Step-by-step explanation:

The numbers can be converted into decimal as,

`\begin{gathered} -(3)/(2)=-1.5 \\ 1(1)/(2)=(2+1)/(2)=(3)/(2)=1.5 \end{gathered}`

So, the numbers are 1.25, -1.5, -1.25 and 1.5.

Now, plot the numbers on the number line.

By considering the number line above, the order of least to greatest are,

`-(3)/(2),-1.25,1.25,1(1)/(2)`

Hence, the required order of the numbers are obtained.