Question

Write the integers -7, 4, -2 and 5 in order from least to greatest. Explain how you decided.

Answer 1

-7, -2, 4, 5

Explanation:

Integers with a dash in the front of them signify a negative. With negative numbers, the higher the value of the accompanying number, the lower value it has as a negative number, so, of course the negative integers would go from the "least" end of the spectrum. Because 7 has a higher positive value than 2, it has a lower negative value, putting -7 on the lower end, following it with the -2. As 5 has a higher positive value than 4, 5 is put on the highest end on the spectrum, with 4 right behind it. With all of these integers settled, we can organize the numbers in the order of -7, then -2, then 4, then 5.

Answer 2

Step-by-step explanation: To write these integers from least to greatest, first draw a number line and graph each of the integers

In the image provided, notice that I've only labeled every other unit on the number line. This is a labeling technique that we can use to keep things from getting too crowded on the number line.

Now, let's graph our integers.

Integers to the left are always less than integers to to the right. So in this problem, we can see that -7 < -2 < 4 < 5.