Comparing and Graphing Rational Numbers.

Comparing and Graphing Rational Numbers.

Review: Decimal to Fraction

When writing a fraction from a decimal use precise language to hear the denominator.

Review: Decimal to Fraction

Remember numbers to the Left of the decimal point are greater than 1 whole.

Numbers to the Right of the decimal point are less than 1 whole (fractional pieces).

Multiple Choice

What place value is the last digit of this number in?

2.08

• hundredths

• tenths

• eigths

• hundreds

Multiple Select

2.08 as a fraction looks like

• $\frac{2}{8}$
  

• $2\ \frac{8}{10}$

• $2\frac{8}{100}$

• $\frac{208}{100}$

Multiple Select

3.5 as a fraction looks like

• $\frac{3}{5}$

• $3\ \frac{5}{10}$

• $3\ \frac{1}{2}$

• $\frac{35}{100}$

Multiple Choice

The decimal 4.2 is between what whole numbers?

• 0 and 1

• 1 and 2

• 2 and 3

• 4 and 5

• 5 and 6

Review: Fractions to Decimals

Step 1: Determine if your fraction is More or Less than 1 whole.

If the numerator (top) is bigger, your fraction is greater than 1.

If the numerator (top) is smaller, your fraction is between 0 and 1.

Multiple Choice

Is the following fraction more or less than 1? $\frac{4}{7}$  

• Greater than 1

• Less than 1

Multiple Choice

Is the following fraction more or less than 1? $\frac{8}{5}$  

• Greater than 1

• Less than 1

Review: Fractions to Decimals

Step 2: If the denominator is NOT a 10th, 100th or other factor of 10 you must find an equivalent fraction.

Use ratio reasoning to multiply top and bottom.

Review: Fractions to Decimals

Step 3: If step 2 was too difficult, grab your calculator.

Remember: Fractions mean division!

Top  $\div$  Bottom

Multiple Choice

Convert the following fraction into a decimal using any method. $\frac{6}{20}$  

• 6.20

• 0.3

• 0.6

• 2.6

Multiple Choice

Convert the following fraction to a decimal using any method. $\frac{14}{5}$  

• 14.5

• 5.14

• 0.357

• 2.8

Comparing Negative Fractions

Use a numberline to help you determine which is greater (further to the right).

Remember negatives live in "opposite land" where everything is backwards

Comparing Negative Fractions

It may be helpful to think of the fractions in terms of their decimal equivalent when trying to place them on a numberline.

Comparing Negative Decimals

Remember negatives live in "opposite land" where everything is backwards.

Think "Is my decimal more or less than half" when deciding where to place your dot on the graph.

On the following Web-slide

• To begin you may have to click the refresh arrow in the middle of the screen

• Complete at least 3 sets by using the drop-down menu

• Use the "check locations" button to see if you got it right

• Get all points graphed correctly before moving on

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Multiple Choice

Compare

• $<$

• $>$

• $=$

Multiple Choice

Compare

• $<$

• $>$

• $=$

Multiple Choice

Compare

• $<$

• $>$

• $=$

Multiple Choice

Compare -3.452 ____ -3.425

• $<$

• $>$

• $=$

Multiple Select

Which of the following could be the value of point A?

• $-\frac{1}{5}$

• $\frac{7}{8}$

• 1.2

• 0.8

On the following webslide

On the following slide locate this activity. It should be about 3/4 of the way down the page.

Complete the graph and check your points before moving on.

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Poll

After the lesson rate how you feel about meeting the goal:

I can compare fractions and decimals on the number line.

• Easy

• I think I can

• I'm confused