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Comparing and Ordering DecimalsPowerPoint Presentation

Comparing and Ordering Decimals

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Learn to write, compare, and order decimals using place value and number lines.

S:Warm Up

1.) Alondra drove from her house to school. She

drove 15 blocks east, 10 blocks north, 15 blocks west, 5 blocks north, and stopped at the park. Where is the school in relation to Alondra’s house?

A 15 blocks north B 5 blocks north

C 45 blocks west D 15 blocks east

2.) 328 ÷ 8 =

3.) Simplify 4

16

P: Comparing and ordering rational numbers:

Strategy: To compare numbers other than fractions, line the numbers up vertically. Line up the decimal point. Add zeroes to the right of the decimal if necessary.

*READ if the numbers should be greatest to least (descending) or least to greatest (ascending)

Example 1: order from greatest to least:

34.432, 3.443, 4.34, 34.4, 34.49

Start from the left and compare the digits.

Look for the first place where the digits are different.

A: Earth Science ApplicationThestar Wolf 359 has an apparent magnitude of 13.5. Suppose another star has an apparent magnitude of 13.05. Which star has the smaller magnitude?

13.50

13.05

0 is less than 5.

13.05 < 13.50

The star that has an apparent magnitude of 13.05 has the smaller magnitude.

16 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17

Additional Example 3 Continued

Graph the numbers on a number line.

16.6

16.67

16.07

The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 16.07, 16.6, and 16.67.

Number line activi 17ty:

Using the tape on your desk, create a number line from 4 to 6.

Place the following numbers in the proper position on your number line:

4.03, 5.6, 5.27, 4.78, 5.93, 4.52

When you think you have them in the right place, check with your shoulder partner. If you both agree, raise your hand.

Place the following numbers in the proper position on your number line:

4.03, 5.6, 5.27, 4.78, 5.93, 4.52

Copy the number line from your desk into your journal.

Exit: number line:

1.It takes Pluto 246.7 years to orbit the Sun, and it takes Neptune 164.8 years. Which planet takes longer to orbit the Sun?

2.Order the decimals from least to greatest: 16.35, 16.3, 16.5.

Pluto

16.3, 16.35, 16.5

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