Question

Write the numbers in increasing order. $$4.8,-2.6,0,-3, \frac{1}{2},-\frac{1}{2}$$

Short answer

The numbers in ascending order are: -3, -2.6, -\( \frac{1}{2} \), 0, \( \frac{1}{2} \), 4.8

Step-by-step solution

- Understand Number Types

We can see that this exercise involves a mix of different types of numbers including negative integers (-3), negative decimals (-2.6), positive integers (0), positive decimals (4.8), and fractions (\( \frac{1}{2}, -\frac{1}{2} \)) . The first step in arranging numbers is to correctly interpret each type.

- Arranging Negative Numbers with Zero and Fractions

Remember that any negative number will be less than zero and fractions. So, let's arrange them first: -3, -2.6, -\(\frac{1}{2}\), 0, \( \frac{1}{2} \). Here, -3 is the smallest of all the numbers given. Then comes -2.6 which is a decimal greater than -3 but less than 0. -\(\frac{1}{2}\) is greater than -2.6 but less than 0. Lastly, 0 and \( \frac{1}{2} \) as it's positive and the smallest among the positive numbers.

- Arranging Rest of the Numbers

The remaining number yet to be arranged is the positive decimal 4.8. Since this number is greater than zero and \( \frac{1}{2}\), it will be the last number in the sequence.