Today’s lesson . . .

What: ORDERING RATIONAL NUMBERS

Why: To order groups of fractions, decimals, percentages, and #’s written in scientific notation in both ascending and descending order.

STRATEGY: Start with the whole #’s, move onto the

tenths, etc.

When comparing decimal #’s, start with the __________________________ place value digit and compare. If there is a “tie,” move on to the next digit, etc. In other words . . .1) Compare the whole numbers.2) If there is a “tie,” move on to the ______________________________ .3) If there is another “tie,” move on to the _______________________________.4) If needed, keep moving on to the next place value digit(s).

REVIEW (ORDERING DECIMALS):

greatest

tenthshundredths

Examples:

Put the following decimal numbers in ascending order:1) 1.025 1.25 0.039 0.4

Answer:2) 0.0055 0.2 0.015 0.15

Answer:3) 0.75 0.425 0.9 0.45

Answer:

0.039; 0.4; 1.025; 1.25

0.0055; 0.015; 0.15; 0.2

0.425 ; 0.45; 0.75; 0.9

Put the following numbers in ascending (least to great) order:

STRATEGY: Convert everything into decimals first!

# Frac. Decimal % Scientific Notation

Answer(List in Original Form):

1. 1/8 0.0255 13% 1.25 x 10-

2

2. 1¾ 1.755 1.7% 1.7 x 103Decimal

Version

Decimal

Version

1) 1.25 x 10-22) 0.02553) 1/84) 13%1) 0.0172) 1 ¾

3) 1.7554) 1.7 x 103

3. ¼ 0.3 20% 2.5 x 10-3On Your own:

Place the decimals from #3 (above) on the below number line:

Hmmm. I wonder how this number line

is divided??

1) 2.5 x 10-32) 20%3) ¼

4) 0.3

Tenths of course!!

0.0025

0.25

0.2

0.3

# Frac. Decimal % Scientific Notation

Answer(List in Original Form):1. 2/5 0.45 40.5% 4.1 x 10 -4

2. 2/3 0.6 66% 6.6 x 10-3

Put the following numbers in descending (greatest to least) order:

Place the decimals from #1 (above) on the below number line:

1) 0.452) 40.5% 3) 2/54) 4.1 x 10-41) 2/32) 66%3) 0.64) 6.6 x 10-3

Word Problems:1. Amanda, Bill, Cynthia, and Max went running. Amanda ran 3.2 miles, Bill ran 3 2/5 miles, Cynthia ran 3.2 x 10 -2 miles, and Max ran 50% of 6 miles. Who ran the least amount of distance? Cynthia ran the least distance becauseShe only ran 0.032 miles, which is only 3.2% of a mile!

2. At Simpson Middle School, the 6th graders are absent 1/8 of the time,the 7th graders are absent 0.1 of the time, and 8th graders are absent 13.5% of the time. Which grade is absent the most? The 8th graders are absent the most!

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

When comparing decimal #’s, start with the __________________________place value digit and compare. If there is a “tie,” move on to the next digit, etc. In other words . . .1) Compare the whole numbers.2) If there is a “tie,” move on to the ______________________________ .3) If there is another “tie,” move on to the ___________________________.4) If needed, keep moving on to the next place value digit(s).

STRATEGY: Start with the

whole #’s, move onto the

tenths, etc.

Math-7 NOTES DATE: ______/_______/_______What: ORDERING RATIONAL NUMBERSWhy: To order groups of fractions, decimals, %’s, and #’s written in scientific notation in both ascending and descending order.

NAME:

REVIEW (ORDERING DECIMALS):

Examples:Put the following decimal numbers in ascending order:1) 1.025 1.25 0.039 0.4Answer:2) 0.0055 0.2 0.015 0.15Answer:3) 0.75 0.425 0.9 0.45Answer:

Put the following numbers in ascending (least to great) order:

STRATEGY: Convert

everything into decimals first!

# Fraction Decimal % Scientific Notation

Answer(List in Original Form):1. 1/8 0.0255 13% 1.25 x 10-2

2. 1¾ 1.755 1.7% 1.7 x 103

3. ¼ 0.3 20% 2.5 x 10-3

Decimal

Version

Decimal

Version

Decimal

Version

Place the decimals from #3 (above) on the below number line:

Put the following numbers in descending (greatest to least) order:# Fraction Decimal % Scientific Notation

Answer(List in Original Form):1. 2/5 0.45 40.5% 4.1 x 10 -4

2. 2/3 0.6 66% 6.6 x 10-3 Decimal

Version

Decimal

Version

Word Problems:1. Amanda, Bill, Cynthia, and Max went running. Amanda ran 3.2 miles, Bill ran 3 2/5 miles, Cynthia ran 3.2 x 10-2 miles, and Max ran 50% of 6 miles. Who ran the least amount of distance? 2. At Simpson Middle School, the 6th graders are absent 1/8 of the time, the 7th graders are absent 0.1 of the time, and 8th graders are absent 13.5% of the time. Which grade is absent the most?

Place the decimals from #1 (above) on the below number line:

PRACTICE WORKNAME:________________________________________________________________________________DATE: _____/_____/__________

“Ordering rational numbers”

# Fraction Decimal % Scientific Notation

Answer(List in Original Form):1. 4/5 0.08 80.5% 8 x 10 -3

2. 1/3 0.34 33% 3.3 x 10-2

3. 41/44.3 42.5% 4.25 x 102

# Fraction Decimal % Scientific Notation

Answer(List in Original Form):4. ¼ 0.025 2% 2.5 x 10-4

5. 5/60.83 8.3% 8.35 x 10-2

6. 14/160.0975 8.75% 8.75 x 102

Order the following from least to greatest (ascending):

Order the following from to greatest to least (descending):

PRACTICE WORKNAME:________________________________________________________________________________DATE: _____/_____/__________

“Ordering rational numbers”