Find the Decimal Between 0.66 and 0.67: Inequality Problem

Question

What is the missing decimal number?

0.66 < ? < 0.67

Video Solution

Solution Steps

00:00 Complete the appropriate number
00:03 Let's use the number line to find the possible numbers
00:20 We can see that all these numbers fit
00:23 Let's choose the appropriate number from the options
00:26 And this is the solution to the question

Step-by-Step Solution

In order to discover our range of numbers, we will first add 0 to both numbers as follows:

0.66=0.660 0.66=0.660

0.67=0.670 0.67=0.670

This means our number will be in the range between 0.660 and 0.670.

The numbers that exist in this range are: 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668, 0.669 0.661\text{ }0.662\text{ }0.663\text{ }0.664\text{ }0.665\text{ }0.666\text{ }0.667\text{ }0.668,\text{ }0.669 .

Now if we look at the possible answers and compare them to our number range, we can deduce that the answer is 0.665 as it appears in both.

Answer

0.665 0.665