Place value- compare and order decimal numbers with 3 decimal places

I can compare decimal numbers with 3 decimal places and set them in order.

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Students learn to compare decimal numbers with 3 decimal places and to set them in numerical order.

Discuss with students why it is useful to be able to compare decimal numbers and set them in numerical order. Say that you can use this to determine how much your package weighs, and how much the postage will be. Mail is calculated by weight.

The interactive whiteboard asks what the value of a number is with four questions. The 7 has a value of 0.07, the 2 is 2 ones, etc. When these questions have been answered, write their answers into the decimal place value chart. Next the interactive whiteboard shows a collection of goods with price tags. Set them in order from inexpensive to most expensive.

Show a decimal place value chart and, with an example, show how you can use this chart to compare decimal numbers. By comparing the tens, ones, tenths, hundredths, and thousandths with each other, you can determine which number is greater than the other. Explain that you can also use this chart to determine numerical order from least to greatest. Demonstrate using an example. The interactive whiteboard then shows a selection of number sequences with the question if they are in numerical order. This can be from least to greatest or greatest to least. Erase the box to show the answer. Next a few statements are given. The students must stand if they think that the statement is true, or remain seated if they believe it is false.

Check that students understand comparing decimal numbers with 3 decimal places and setting them in numerical order by asking the following questions:

- When is one decimal number greater than another decimal number?

- How do you know when a decimal number is greater than or less than the other?

- How do you determine the greatest and least numbers?

- Write a decimal number that is less than 7.928

- Write a decimal number that is greater than 3.150.

Students must first determine which decimal number is greater or less than the other with decimal numbers that are clearly of different values. Next they must set decimal numbers in order from least to greatest or greatest to least with decimal numbers that are close together in value.

Discuss with students that it is important to be able to compare decimal numbers so you are able to calculate the cost of your package. Check that students know to use the decimal place value chart to help order the decimal numbers. To check that students have understood the goal, have them set the numbers on the interactive whiteboard in numerical order.

Students who have difficulty with comparing decimal orders or numerical order should make use of the decimal place value chart. By using this chart, students can break down the comparison steps and see clearly when a number is greater or less than another.

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