math 5 comparing and ordering decimals part 2 instructor: mrs. tew turner

Math 5Comparing and Ordering

Decimals part 2

Instructor: Mrs. Tew Turner

In this lesson we will learn how to compare decimals

that are written to different place values.

Math Warm-upIn your Math Notebook

Use the boxes below. Put in your own numbers.Use the same directions as before.

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What do you notice about your results?

Try to use mental math.

Math Warm-up

Why do you think that the answers were the same? Talk to a partner to answer this question.

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

In the last lesson you learned how compare and order decimals that are written to the same place value. In this lesson we will answer these questions:

How can you compare decimals if they are written to different place values?How can you order decimals that are written to different place values?

How can you compare decimals that are written to different place values?

Let’s compare the decimals 6.8 and 6.804.

Step 1Line up the decimal points.

6.86.804

How can you compare decimals that are written to different place values?

Let’s compare the decimals 6.8 and 6.804.

Step 2Add zeros to the end of the number that has fewer decimal places until it is even with the other number.6.8006.804

How can you compare decimals?

Let’s compare the decimals 6.8 and 6.804.

Step 3Compare digits of the same place value, starting at the left.

6.8006.804

How can you compare decimals?

Let’s compare the decimals 6.8 and 6.804.

Step 4Keep comparing digits as you move to the right until you find digits that are different.

6.8006.804

How can you compare decimals?

Let’s compare the decimals 6.8 and 6.804.

Step 5Compare.

6.8006.804

Which is bigger?

How can you compare decimals?

6.8006.804

Which is bigger?

6.804 is bigger than 6.800

In math we say, “6.804 is greater than 6.800.”

We write 6.804 > 6.800

Remember in the last lesson you learned that when you see a problem asking you to compare decimals it will look like this:

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

27.2 27.02

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

27.227.02

Which is greater?

27.2 27.02

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

27.2027.02

Which is greater?27.20 is greater, so the symbol will open toward it.

27.2 > 27.02

Try these in your Math Notebook

6.34 6.304

0.102 0.51

1.2 1.143

5.92 5.920

Try these in your Math Notebook

6.34 > 6.304

0.102 < 0.51

1.2 > 1.143

5.92 = 5.920

In the last lesson you learned that 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:1.506, 1.56, 0.8

Make sure to pay attention to what the problem is asking you to do.

This one is asking you to put the numbers in order from the smallest to the largest.

Order the following numbers from least to greatest:1.506, 1.56, 0.8

Step 1: Line up the decimal points

1.5061.560.8

Order the following numbers from least to greatest:1.506, 1.56, 0.8

Step 2: Add zeros to the end of the numbers until they all end in the same place value.

1.5061.5600.800

Order the following numbers from least to greatest:

1.506, 1.56, 0.8

Step 3: Compare digits of the same place value beginning at the left.

1.5061.5600.800

Order the following numbers from least to greatest:

1.506, 1.56, 0.8

Step 3: Compare digits of the same place value beginning at the left.

1.5061.5600.800 this is the least

Order the following numbers from least to greatest:

1.506, 1.56, 0.8

Step 4: Continue to compare digits of the same place value beginning at the left.

1.506 this is least1.5600.800

Order the following numbers from least to greatest:

1.506, 1.56, 0.8

Step 5: Write the numbers from least to greatest.

0.8, 1.506, 1.56

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 1:

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 1: Line up the decimal points.

0.4020.420.3751.2

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 2:

0.4020.420.3751.2

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 2:Add zeros to the end of the numbers until they all end in the same place value.

0.4020.4200.3751.200

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 3:

0.4020.4200.3751.200

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 3: Compare digits of the same place value beginning at the left.

0.4020.4200.3751.200 this is the greatest

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 4:

0.4020.4200.3751.200

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 4: Continue to compare digits of the same place value beginning at the left.

0.402 0.420 this is the greatest 0.3751.200

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 4: Continue to compare digits of the same place value beginning at the left.

0.402 0.420 this is the greatest 0.375 this is the least1.200

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 5:

Order the following numbers from greatest to least:0.402, 0.42, 0.375, 1.2

Step 5:

1.2, 0.42, 0.402, 0.375

Try this in your Math Notebook

Order from least to greatest6.01 0, 0.601, 6 .1

Order from greatest to least4.09, 3.9, 3.09, 4.19

Try this in your Math Notebook

Order from greatest to least6.01 0, 0.601, 6 .1

6.1, 6.010, 0.601

Order from least to greatest4.09, 3.9, 3.09, 4.193.09, 3.9, 4.09, 4.19

Decimal Ordering Game

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Quick Check

1. Why can you add zeros to help you compare decimals that end in different place values?Write <, >, or = for each

2. 0.890 0.89

3. 1.403 1.4

In your Math Notebook

Quick CheckOrder from greatest to least

4. 8.541, 8.314, 8.598, 8.8

5. There are five types of grains of sand: course, very course, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters.

Which number is less than 0.125?A. 0.5 B. 0.2 C. 0.13 D. 0.12

Quick Check

1. Why can you add zeros to help you compare decimals that end in different place values?Write <, >, or = for each

2. 0.890 = 0.89

3. 1.403 > 1.4

In your Math Notebook

Quick CheckOrder from greatest to least

4. 8.541, 8.314, 8.598, 8.8 8.8, 8.598, 8.541, 8.314

5. There are five types of grains of sand: course, very course, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters.

Which number is less than 0.125?A. 0.5 B. 0.2 C. 0.13 D. 0.12

Today you learned how to compare and order decimals written to different place values.

Good Work with this

lesson.