Today we will identify and represent decimals

on a number line .

✓ identify- point out✓represent- draw and label✓decimal - a number less than 1,

represented by numbers to the right of the decimal point

Concept

• Double Cheeseburger: $ .99Double Cheeseburger: $ .99

• Big Mac Value Meal: $ 4.79Big Mac Value Meal: $ 4.79

• Chicken McNuggetts Meal: $ 3.80Chicken McNuggetts Meal: $ 3.80

• Small Drink: $ .99Small Drink: $ .99

• McFlurry: $ 1.97McFlurry: $ 1.97

• Salad: $ 4.80Salad: $ 4.80

• 2 Cheeseburger Meal: $ 3.702 Cheeseburger Meal: $ 3.70

• Ice Cream Cone: $ .87Ice Cream Cone: $ .87

Put these prices in order from smallest to greatest.

When will I EVER do this?

• Ice Cream Cone 0.87Ice Cream Cone 0.87

• Double Cheeseburger: 0.99Double Cheeseburger: 0.99

• Small Soft Drink: 0.99Small Soft Drink: 0.99

• McFlurry: 1.97McFlurry: 1.97

• 2 Cheeseburger Meal: 3.702 Cheeseburger Meal: 3.70

• Chicken McNuggetts Meal: 3.80Chicken McNuggetts Meal: 3.80

• Big Mac Value Meal: 4.79Big Mac Value Meal: 4.79

• Chicken Salad: 4.80Chicken Salad: 4.80

3 50 21 4

0.87

0.990.99

1.97 3.703.80 4.80

4.79

decimal

.5

5 tenths

a number less than 1. It is represented by numbers to the

RIGHT of the decimal point.

.75

75 hundredthsAPK

1 00.5

APK

decimal

1 00.75

APK

decimal

number line

APK

a picture of a straight line on which every point corresponds to a real number and every real number to a point.

-1 0-2 1 2-3 3

Why is it important that we can identify and represent decimals on

a number line?

IMP

What are other reasons why it is important to know how to estimate very large and very small numbers?

Number lines in math are like graphic organizers in writing, they help us organize our information.

Being able to represent decimals on a number line helps visualize, or see the answer to a problem.

Number lines help us compare and order numbers.

✤ When we compare we use terms such as:When we compare we use terms such as:✤ Less than <Less than <✤ Greater than >Greater than >✤ Equal to =Equal to =

✤ Comparing decimals is similar to Comparing decimals is similar to comparing whole numbers.comparing whole numbers.

✤ 45<4745<47✤ 150>105150>105

✤ When we compare decimals we use place When we compare decimals we use place value or a number line.value or a number line.

Comparing and Ordering Numbers

1,001,0000

101000

1010 11 0.10.1 0.010.01 0.000.0011

0.000.000101T

housands

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

Ten-thousandths

Place Value

Identifying decimals on a number line.Step 1: Determine the value for each segment on a number line.

Count the number of segments between 0 and 1. Each segment is of equal length.

Step 2: Beginning at the appropriate whole number, count the number of segments between 0 and the point you are trying to identify.Step 3: Write the value of the point as a decimal.

Remember that decimal measurements end in -ths, for example: tenths, hundredths, thousandths.

CD

Identify point A on this number line.

0 1

A

109876543211 2 3

3 out of ten segments

0.3three tenths

Identifying decimals on a number line.Step 1: Determine the value for each segment on a number line.

Count the number of segments between 0 and 1. Each segment is of equal length.Step 2: Beginning at the appropriate whole number, count the number of segments between 0 and the point you are trying to identify.Step 3: Write the value of the point as a decimal.

Remember that decimal measurements end in -ths, for example: tenths, hundredths, thousandths.

CD

Identify point B on this number line.

1 0

B

9 out of ten segments

0.9nine tenths

109876543211 2 3 4 5 6 7 8 9

10 .40.20 .60 .80

Identifying decimals on a number line.Step 1: Determine the value for each segment on a number line.

Count the number of segments between 0 and 1. Each segment is of equal length.Step 2: Beginning at the appropriate whole number, count the number of segments between 0 and the point you are trying to identify.Step 3: Write the value of the point as a decimal.

Remember that decimal measurements end in -ths, for example: tenths, hundredths, thousandths.

CD

Identify point R on this number line.

R

5432

50 out of one hundred segments

0.50fifty hundredths

1

EACH SEGMENT IS WORTH 0.20

1 2 3 4 5 6 7 8 9

Representing decimals on a number line.Step 1: Determine the value for each segment on a number line.

Count the number of segments between 0 and 1. Each segment is of equal length.

Step 2: Beginning at the appropriate whole number, move LEFT as you count out the correct number of segments.Step 3: Draw and label the point.

CD

Label 0.7 as point A on this number line.

0 1

A0.7

.7seven tenths

101 2 3 4 5 6 7

Guided PracticeThis is your Guided Practice.We will work on this together.

Please do NOT go ahead.

If you have questions this is thetime to ask.

PLEASE ask questions.

Let’s review what we learned about identifying and labeling decimals on

a number line.A picture of a line where each point represents a real number and each number a point.

Determine the value of each segment and then count the number of segments being used.

On your dry erase boards, draw a number line and label 0.50.

How do you locate a point on a number line?

What is a number line?

0 10.50

Independent Practice

This your Independent Practice. You must complete all of the problems without assistance.You must SHOW ALL your work.

Take your time. Work slowly and carefully.When you finish you flip your paper over and you made read quietly until everyone is done.

Good Luck.