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### Lesson 1.5

Comparing and Ordering Decimals

Goals: Understand that decimal place values can be used to compare and order decimals.

Comparisons! compare and order decimals.

- ipad vs. windows tablet

The Science teachers decided it would be fun to measure some ants…

The first ant measured 0.521 centimeters.

The second ant measured 0.498 centimeters.

The last ant measured 0.550 centimeters.

Which ant was longest?

Which was shortest?

Let’s compare these numbers by looking at the values of each digit starting with the tenths place.

Are the tenths digits the same or different?

So, which ant is smallest?

Now compare the hundredths digits. Which ant is the next smallest?

0.498

0.521

0.550

Let’s write it! each digit starting with the tenths place.

- We call these comparisons INEQUALITIES, since the numbers AREN’T equal!
- We use the < “less than,” and > “greater than” symbols to show the relationship between the numbers.
- When we write two or more numbers down and compare them using symbols, we call it a “number sentence.”
- 0.498 < 0.521, and 0.521 < 0.550
- 0.550 < 0.521, and 0.521 < 0.498

These are number sentences.

To Review… each digit starting with the tenths place.

- Line up the decimal points of the numbers you are comparing.
- Start at the left.
- Compare digits of the same place value.
- Move one place to the right.
- Compare digits of the same place value.
- Repeat until there are no more digits.
- Record the digits in correct order.

Time to practice! each digit starting with the tenths place.

- Follow your teacher’s directions to get in small groups/partners.
- Each person write down a decimal. It must be four digits, and greater than 1, but less than 2.
- Share your number with your partner, and compare them to find which is larger.
- Write two number sentences that compare your numbers.

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