So far you've learned about inequalities with addition, subtraction, and multiplication.
In this lesson, we'll learn about inequalities with division.
Inequalities are statements that tell you two sides are not equal.
Just imagine a scale where one side is heavier than another.
That's what inequalities are like.
To show inequalities, we use comparison symbols.
Use the greater than symbol > when the left side is bigger than the right side.
Use the less than symbol < when the left side is smaller than the right side.
Let's look at some examples of inequalities with division.
Which comparison symbol will make this statement true?
First, simplify the expression on the left.
To simplify means to perform the operations in an expression to find its number value.
170 ÷ 5 = 34
Let's rewrite our simplified inequality.
Now, we compare the two sides.
Is 34 bigger or smaller than 32? 🤔
Correct, 34 is bigger than 32.
So, we use the greater than symbol.
Now, we know that 170 ÷ 5 is greater than 32. ✔️
Great job.
Which comparison symbol makes the statement true?
We have two division expressions on each side.
We need to simplify each expression before we can compare.
Now let's compare the values of the expressions.
Is 84 bigger or smaller than 88?
Yes, 👍 84 is smaller than 88.
We now know that 756 ÷ 9 is less than 528 ÷ 6. ✔️
Excellent work. 🎊
There are times when the inequality symbol is given, but a number is missing.
Just like in this example:
To find the answer, we can test each number.
First, we try to put in 222 as the missing number. 👇
73 is less than 74.
This means that 222 makes the statement true. ✔️
If we put 240 into the inequality, the value of the expression on the right becomes 80. 👇
73 is less than 80.
This means that 240 also makes the inequality statement true. ✔️
We figured out that using both numbers make the statement true. 😀
Excellent work. 👏
Now, ace your practice.