7-4 Rational Numbers on a Number Line

7-4 Rational Numbers on a
Number Line

PBIL:

Which number is the greater number: -⅘ or -0.4? Write
and explain how you decided.

Write your response on a sticky note along with your explanation.

Hint: When you are working on numbers in different forms, what should you do first?

Notes:

Rational Numbers:

Any number that can be shown as a quotient of two
integers. Aka ALL numbers (integers, decimals,
fractions)

Notes

To compare decimals and fractions, you need to convert all numbers to the SAME form
(all decimals OR all fractions with common denominators)

NO SHORTCUTS

How to convert decimals to fractions

The numbers after the decimal point becomes the numerator

The place value becomes the denominator

Example:

0.10= 10/100 (simplified to 1/10)

0.92= 92/100

0.3= 3/10

Open Ended

0.6 as a fraction in simplest form

Open Ended

.35 in simplest form

How to convert fractions into decimals

A fraction is a division problem.

example:

​https://www.youtube.com/watch?v=WV5VY76Pf5U

Draw

4/6

Guided Prac:

Compare -4/3 and -1.5

Compare ⅖ and 0.25

Fill in the Blank

Which rational number is greater?

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Which rational number is greater?

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Which rational number is greater?

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Which rational number is greater?

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Order the numbers from least to greatest

Fill in the Blank

Order from least to greatest