Question

Write the integers in order from least to greatest. (Lesson 1.4)

– 12, – 21, 31, 0, – 5, 13

Short answer

Integers in order from least to greatest: – 21, – 12, – 5, 0, 13, 31

Step-by-step solution

– The position of negative and positive integers on number line. 

Conclusion: negative integers are always smaller than positive integers.

– 4 < – 3 < – 2 < – 1 < 0 and 0 < 1 < 2 < 3 < 4 …so on.

Step 2:How do you arrange integers in ascending order and descending order?

When numbers are arranged from lowest to the highest order, it is called an ascending order. While the numbers arranged from highest to lowest order, it is called a descending order.

Example: Arrange the numbers in descending order. Write 34 to 42 in ascending order:34, 35, 36, 37, 38, 39, 40, 41, 42,

If smallest first and the greatest last, this is called ascending order.

Example

Arrange the following integers in ascending order, putting the smallest first.

$48, 56, 14,- 35, -2$

Mark the negative numbers first. The smallest negative number is – 35, then – 2.

Then mark the positive numbers. The smallest positive number is 14. Then comes 48 and finally the largest number is 56.

The numbers are ascending order: $-35, -2, 14, 48, 56$

Write the integers – 12, – 21, 31, 0, – 5, 13 in order from least to greatest. 

Arrange the following integers in ascending order, putting the smallest first.

– 12, – 21, 31, 0, – 5, 13

Mark the negative numbers first. The smallest negative number is – 21, then – 12.

Then look at the positive numbers. The smallest positive number is 13 and finally the largest number is 31.

Integers in order from least to greatest: – 21, – 12, – 5, 0, 13, 31.