Math 5 Comparing and ordering Decimals part 1 Instructor: Mrs. Tew Turner.

Math 5Comparing and ordering

Decimals part 1

Instructor: Mrs. Tew Turner

In this lesson we will learn how to compare decimals

that are written to the same place value.

Math Warm-up

36 1622 28

In your Math Notebook

Add acrossAdd downAdd your results across and down.Put these answers in the triangles

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What do you notice about your results?

Try to use mental math.

Math Warm-up

36 1622 28


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What do you notice about your results?I noticed that the answers were the same.

58 44

5250

102102

Vocabulary

greater than– bigger, >

less than– smaller, <

equal to– same, =

Vocabulary

compare – to see if something is the same or different

ordering – to put numbers in order based on size

In this lesson we will answer these questions:

How can you compare decimals?

How can you order decimals?


Let’s compare the decimals 5.785 and 5.782.

Step 1Line up the decimal points.

5.7855.782



Step 2Compare digits of the same place value, starting at the left.

5.7855.782



Step 3Keep comparing digits as you move to the right until you find digits that are different.

5.7855.782



Step 4Compare.

5.7855.782

Which is bigger?


5.7855.782

Which is bigger?

5.785 is bigger than 5.782

In math we say, “5.785 is greater than 5.782.”

We write 5.785 > 5.782


Step 1


Step 1Line up the decimal points.

2.8312.836


Step 2

2.8312.836


Step 2Compare digits of the same place value, starting at the left.

2.8312.836


Step 3


Step 3Keep comparing digits as you move to the right until you find digits that are different.

2.8312.836



Step 4Compare.

5.7855.782

Which is smaller?

When you see a problem asking you to compare decimals it will look like this:

1.03 1.23

You will have to put in the >,<, or = sign

1.03 1.23

You will have to put in the >,<, or = sign

1.031.23 Which is bigger?

1.03 < 1.23

You will have to put in the >,<,= sign

1.031.23 Which is bigger?

1.23 is bigger, so the symbol will open toward that number.

Try these in your Math Notebook

7.924 7.927

3.821 3.801

5.452 5.428

2.160 2.016


7.924 < 7.927

3.821 > 3.801

5.452 > 5.428

2.160 >2.016

Ordering decimals is very similar to comparing decimals. It is when you put three or more decimals in order from greatest (biggest) to least (smallest) or least to greatest.

Order the following numbers from least to greatest:

2.812, 2.809, 2.730

Step 1: Line up the decimal points

2.8122.8092.7302.741


2.812, 2.809, 2.730

Step 2: Compare digits of the same place value beginning at the left.

2.8122.7302.809


2.812, 2.809, 2.730


2.8122.730 this number is the least2.809


2.812, 2.809, 2.730

Step 3: Continue to compare digits of the same place value beginning at the left.

2.8122.7302.809this number is the least


2.812, 2.809, 2.730

Step 4: Write the numbers from least to greatest.

2.730, 2.809, 2.812

Order the following numbers from greatest to least:

5.312, 5.132, 5.123

Step 1:


5.312, 5.132, 5.123

Step 1: Line up the decimal points.

5.3125.1325.123


5.312, 5.132, 5.123

Step 2:


5.312, 5.132, 5.123


5.3125.1325.123


5.312, 5.132, 5.123


5.312 this number is the greatest5.1325.123


5.312, 5.132, 5.123

Step 3:

5.3125.1325.123


5.312, 5.132, 5.123

Step 3: Continue to compare digits of the same place value beginning at the left.

5.3125.132 this number is the greatest5.123


5.312, 5.132, 5.123

Step 4:

5.3125.132 this number is the greatest5.123


5.312, 5.132, 5.123

Step 4: Write the numbers from least to greatest.

5.312, 5.132, 5.123


Order from greatest to least

1. 62.905, 62.833, 62.950, 62.383

2. 5.540, 5.631, 5.625, 5.739

Order from least to greatest

3. 8.452, 8.423, 9.312, 9.534

4. 0.675, 1.529, 1.350, 0.639


Order from greatest to least

1. 62.905, 62.833, 62.950, 62.383

62.950, 62.905, 62.833, 62.3832. 5.540, 5.631, 5.625, 5.7395.739, 5.631, 5.625, 5.540

Order from least to greatest

3. 8.452, 8.423, 9.312, 9.5348.423, 8.452, 9.312, 9.534 4. 0.675, 1.529, 1.350, 0.6390.639, 0.675, 1.350, 1.529

Quick Check

1. Why do you need to line up the decimal points before comparing and ordering numbers with decimals?Write <, >, or = for each

2. 1.605 1.635

3. 9.462 9.062


Quick CheckOrder from greatest to least

4. 62.905, 62.833, 62.950, 62.383

5. 5.540, 5.631, 5.625, 5.739

Order from least to greatest 6. 8.452, 8.423, 9.312, 9.534

7. 0.675, 1.529, 1.350, 0.639

Quick Check

1. Why do you need to line up the decimal points before comparing and ordering numbers with decimals?Write <, >, or = for each

2. 1.605 < 1.635

3. 9.462 > 9.062


Quick CheckOrder from greatest to least

4. 62.905, 62.833, 62.950, 62.38362.950, 62.905, 62.833, 62.3835. 5.540, 5.631, 5.625, 5.739

5.739, 5.631, 5.625, 5.540Order from least to greatest

6. 8.452, 8.423, 9.312, 9.5348.423, 8.452, 9.312, 9.534

7. 0.675, 1.529, 1.350, 0.6390.639, 0.675, 1.350, 1.529

Today you learned how to compare and order decimals written to the same place value.

Good Work with this

lesson.

Math 5 Comparing and ordering Decimals part 1 Instructor: Mrs. Tew Turner.

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Transcript of Math 5 Comparing and ordering Decimals part 1 Instructor: Mrs. Tew Turner.