Inequalities (Greater Than & Less Than) and Comparing Numbers Worksheets for Practice

Have fun with these printable Inequalities and Comparing Numbers Worksheets. They can be used in the classroom as part of the summative assessment, formative assessment or as a revision tool.

Inequalities and Comparing Numbers Worksheets can help children understand how to compare and contrast numbers.

They can use these worksheets to compare and contrast numbers in a variety of situations, such as comparing numbers of objects, counting things, comparing money and amounts, and more.

Inequalities and Comparing Numbers Worksheets

Do you want to increase your child’s ability to solve inequalities or compare numbers? These worksheets are designed to help you get your students from algebra through the basics of inequalities.

Greater Than and Lesser Than

Using alligator mouth as the sign depicting the greater or lesser than values is the oldest trick in the book. Simply point the open mouth towards the number that holds greater value, and the reverse of it will show the lesser value.

Examples: 36 > 23, here, 36 is greater than 26, and also, 26 is lesser than 36. Both statements can be arrived at using the same symbol.

The below worksheet introduces greater than and less than. It uses alligators to help explain it. Students cut out alligator heads and glue the faces to show which number is bigger.

Greater Than and Lesser Than
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Comparing Numbers Worksheet

On solving the different arithmetic operations, you can compare numbers. Before that, you cannot clearly define which is greater and which is lesser.

Example : 2 + 4  ____ 67 – 56 

        6     _<_  11

Similarly, you can compare multiple operations.

Inequality Puzzle Worksheet

Use concepts from previous explanations.

This maze worksheet reviews inequalities. Students find the true statements and follow them to help Turkey Eddie get to his feast.

Comparing Numbers Worksheet

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Comparing Decimals Worksheet

What’s confusing about decimal comparison is the position of the decimal point. Here’s how you can do away with the mistake.

If the whole number differs, then it is easier to differentiate and identify the larger and smaller values of the lot. If not, align the given expressions by their decimal points one top of the other.

For example –

8.657

8.345

8.311

Begin by the first value to the right of the decimal. We get 6, 3, and 3. So, the first term is the largest out of the three.

Now to know which of the two is the next largest or smallest, move on to further right of the already compared place value. Meaning, compare the values of the digits two places to the right of the decimal.

So the numbers are 4 and 1. Since 1 is smaller than 4, it is the smallest term, and the other is the second largest. Arranging the above numbers in increasing order will give – 

8.311 < 8.345 <8.657

Comparing Decimals Worksheet
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Comparing Decimals Worksheet_1
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Comparing Decimals Worksheet_2

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Comparing Decimals Worksheet_3

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Comparing Decimals Worksheet_4

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Comparing Fractions Worksheet

Use previously explained concepts in regards to the above.

The below worksheets cover comparing fractions. Students use greater than, less than, and equal to, to compare fractions.

Comparing Fractions Worksheet
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Comparing Fractions Worksheet_1

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Comparing Fractions Worksheet_3

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Comparing Fractions – Level 1 Worksheet

The below worksheet introduces comparing more than two fractions. It uses one-half as a helpful point to separate the fractions and better understand their values. Students first practice using one-half and then write fractions in order from least to greatest.

Comparing Fractions – Level 1 Worksheet
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Comparing Fractions – Level 1 Worksheet_1

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Fractions and Number Lines Worksheet

Just like in a Whole Number Number Line, you place specific values at equal intervals; the same is applied to a Fractional Number Line. 

One difference is that it is slightly complex to place fractions with unlike denominators on a number line compared to like denominator fractions.

However, it is not impossible. You need to set up a pattern, like a multiplicative factor, to maintain a repetition on the number line.

The beginning and end of a Fractional Number Line are 0 and 1, as a fraction is always less than a whole. Therefore, when drawing a number line, make sure that equal spacing and the values to be placed are correct.

Example: For values such as ⅔, 3/6, 4/9, begin the number line with zero and then leave 3 paces between each given value.

Fractions and Number Lines Worksheet
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Stained Glass – Level 2
Comparing Fractions and Decimals
Worksheet

The below worksheet covers comparing fractions and decimals. Students circle the greatest amount in each group and then color the related shapes in the picture. Each student chooses their own colors to create a unique art project.

Stained Glass – Level 2
Comparing Fractions and Decimals Worksheet
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Solving Inequalities

Use concepts from previous explanations.

Answer, Find, and Shade Solving Inequalities – Level 2 Worksheet

The below art worksheet reviews solving inequalities. Students solve two inequalities and find the answer they have in common.

Answer, Find, and Shade Solving Inequalities – Level 2 Worksheet
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Answer, Find, and Shade Solving Inequalities – Level 2 Worksheet_1

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Conclusion

Now that you know the points that make Equalities, Inequalities, and Comparing Numbers differ, you can quickly formulate symbols and expressions whenever and wherever these are involved.

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