Question

Write the numbers in increasing order. $$4.66,0.7,4.6,-1.8,3,-0.66$$

Short answer

The numbers in increasing order are: -1.8, -0.66, 0.7, 3, 4.6, 4.66.

Step-by-step solution

Identify and Compare Integers

Starting from the left side of the number line, locate the integer part of the numbers and compare them. The numbers are: 4, 0, 4, -1, 3, -0. The smallest integer is -1, so -1.8 is the smallest number. Next smallest integer is 0, so -0.66 is placed after -1.8.

Compare Decimals

After sorting out the numbers with negative integers, we now look at the ones with 0 and positive integers. Starting with 0, we have 0.7. This is the smallest amongst 0.7, 3, 4.6 and 4.66 as the others are more than 1.

Order Remaining Numbers

Now, we are left with 3, 4.6 and 4.66. Clearly, 3 is the smallest amongst them. Further, because 4.6 and 4.66 both have 4 as the integer part, we look at the decimal. 4.6 is smaller than 4.66.

Write Final Ordered List

Joining the numbers we have ordered, the final increasing order of numbers becomes: -1.8, -0.66, 0.7, 3, 4.6, 4.66.