Compare and order decimals
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Intros
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Examples
Lessons
- Comparing decimals using base ten (block) models
Write the decimal value represented by each base ten (block) model. Circle the greater value. - Comparing decimals using place value digits
Fill out the value of digits for each decimal. Circle the lesser value. - Comparing decimals in a list
Compare the decimal numbers in the list and answer. - Ordering decimals
Order the decimals in the specified order using > or < symbols
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Practice
Topic Notes
In this lesson, we will learn:
- How to compare the value of two decimal numbers
- How to order a list of decimals in ascending and descending order
Notes:
- To compare two decimal numbers, we want to know how big or small the values are
- We use these symbols to compare numbers:
- We can compare using number lines:
- We can also compare using base ten (block) models:
- The steps for comparing two numbers:
- Start with the biggest (left) place value.
- Is the digit in this place value different between the two numbers?
- YES: compare the digit (0 = smallest, 9 = biggest).
- NO: move to the next smaller place value (right) and repeat step 2.
- If all digits are the same in both numbers, they are equal.
- Once you have found a difference for a place value, it does not matter what numbers are in the places further on the right (smaller places)
- i.e. recall equivalent decimal tenths and hundredths 0.8=0.80
- ex. 8.9 > 8.79 (more decimal place values does not necessarily make the value greater)
- There are two ways to order a list of decimals:
- Ascending order: which means from least to greatest
- increasing; smallest to biggest (ex. 1.1 < 1.2 < 1.3 < 1.4)
- Descending order: which means from greatest to least
- decreasing; biggest to smallest (ex. 1.4 > 1.3 > 1.2 > 1.1)