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Today we will identify and represent decimals on a number line .

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. When will I EVER do this?. Double Cheeseburger: $ .99 Big Mac Value Meal: $ 4.79

jedidiah-braylon
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Today we will identify and represent decimals on a number line .

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  1. 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

  2. When will I EVER do this? • Double Cheeseburger: $ .99 • Big Mac Value Meal: $ 4.79 • Chicken McNuggetts Meal: $ 3.80 • Small Drink: $ .99 • McFlurry: $ 1.97 • Salad: $ 4.80 • 2 Cheeseburger Meal: $ 3.70 • Ice Cream Cone: $ .87 Put these prices in order from smallest to greatest.

  3. 0.87 0.99 1.97 3.70 3.80 4.80 4.79 0.99 0 1 2 3 4 5 • Ice Cream Cone 0.87 • Double Cheeseburger: 0.99 • Small Soft Drink: 0.99 • McFlurry: 1.97 • 2 Cheeseburger Meal: 3.70 • Chicken McNuggetts Meal: 3.80 • Big Mac Value Meal: 4.79 • Chicken Salad: 4.80

  4. decimal a number less than 1. It is represented by numbers to the RIGHT of the decimal point. .5 5 tenths .75 75 hundredths APK

  5. decimal 1 0.5 0 APK

  6. decimal 1 0 0.75 APK

  7. number line a picture of a straight line on which every point corresponds to a real number and every real number to a point. -3 -2 -1 0 1 2 3 APK

  8. Why is it important that we can identify and represent decimals on a number line? • Being able to represent decimals on a number line helps visualize, or see the answer to a problem. • Number lines in math are like graphic organizers in writing, they help us organize our information. • Number lines help us compare and order numbers. What are other reasons why it is important to know how to estimate very large and very small numbers? IMP

  9. Comparing and Ordering Numbers • When we compare we use terms such as: • Less than < • Greater than > • Equal to = • Comparing decimals is similar to comparing whole numbers. • 45<47 • 150>105 • When we compare decimals we use place value or a number line.

  10. Place Value Tens Ones Tenths Hundreds Thousands Hundredths Thousandths Ten-thousandths

  11. A 0 1 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. Identify point A on this number line. 1 1 2 2 3 3 4 5 6 7 8 9 10 3 out of ten segments 0.3 three tenths CD

  12. B 1 0 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. Identify point B on this number line. 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 9 out of ten segments 0.9 nine tenths CD

  13. R 0 .20 .40 .60 .80 1 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. Identify point R on this number line. 1 2 4 5 3 EACH SEGMENT IS WORTH 0.20 50 out of one hundred segments 0.50 fifty hundredths CD

  14. A 0 1 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. Label 0.7 as point A on this number line. 0.7 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 9 10 .7 seven tenths CD

  15. Guided Practice If you have questions this is the time to ask. PLEASE ask questions. This is your Guided Practice. We will work on this together. Please do NOT go ahead.

  16. 0 0.50 1 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. What is a number line? Determine the value of each segment and then count the number of segments being used. How do you locate a point on a number line? On your dry erase boards, draw a number line and label 0.50.

  17. 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.

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