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&&66 NS 1.5*1%7 Identify5HDGZULWHDQGFRPSDUHGHFLPDOVWRWKRXVDQGWKV and represent on a number line positive and negative UNDERLYING SKILLS AND CONCEPTS: integers, decimals, fractions and mixed numbers. use a number line; understand decimal place value Show Decimals on a Number Line You can show decimals on a number line. To write decimals for smaller parts, magnify the line. Can you guess what are the decimals between 1 and 2? 1 0 0 0 0.1 0.2 2 0.3 0.4 3 0.5 0.6 4 0.7 0.8 whole numbers 5 0.9 tenths are numbers between whole numbers 1 hundredths are numbers between tenths 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 E x am p l E 1 Round three and two tenths to the nearest whole number. 3.9 4.1 4 You can see that 3.2 is closer to 3 than to 4. So 3.2 rounds to 3. E x am p l E 2 whole numbers between 1 and 4 tenths between 2 and 3 1 2 X 3 4 hundredths between 2.6 and 2.7 X 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 2 Round two and sixty-eight hundredths to the nearest tenth and the nearest whole number. X 2.61 2.62 2.63 2.64 2.65 2.66 2.67 2.68 2.69 2.7 2.71 2.6 Put an X on 2.68. Is 2.68 closer to 2.6 or 2.7? X is closer to 2.7. So, 2.68 is closer to 2.7. Is 2.68 closer to 2 or to 3? Is the X closer to 2 or to 3? The X is closer to 2.7. 2.7 is closer to 3 than to 2. So 2.68 is closer to 3 than to 2. page 136 Chapter 12 – Lesson 2 E – © CSL Associates, Inc. All rights reserved. X 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3 Put an X on the point that shows 3.2. Is 3.2 closer to 3 or to 4? Hint: Is the X closer to 3 or to 4? Name P RAC T I C E Which decimal number does each point show? 0 0.1 A C 0.2 0.3 0.2 1. A B 0.4 0.5 0.5 B D 0.6 0.7 C P 0.8 0.9 0.3 1 1.1 1.1 D Q S R 2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41 2.34 2. P 2.38 Q W R 2.41 X S Y 2.40 Z 5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991 3. W 5.981 X 5.985 Y 5.989 Z 5.99 E – © CSL Associates, Inc. All rights reserved. Write the letter to show the decimal number. 3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81 4. P at 3.73 Q at 3.7 R at 3.81 S at 3.79 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 5. W at 9.068 Math Reasoning X at 9.063 Y at 9.069 Z at 9.071 Logic MR 2.4 6. Mark said that there is no way to show a decimal number with ten-thousandths on a number line. Is Mark correct? No Explain your answer. You can make a number line for any decimal. Enlarge the number line for the thousandths, and divide each section by 10. Chapter 12 – Lesson 2 page 137 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:02 Page 92 Name …at home! P RAC T I C E Which decimal number does each point show? Q 0 0.1 P 0.2 0.4 1. P 0.3 S 0.4 0.5 0.1 Q D 0.6 B 0.7 R 0.8 0.9 1 R A 1.1 1 0.7 S C 2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41 2.36 2. A 2.33 B L N C M 2.39 2.31 D K 5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991 3. K 5.988 L 5.982 M 5.986 N 5.984 3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81 4. A at 3.71 B at 3.79 C at 3.75 D at 3.8 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 5. P at 9.07 Math Reasoning Q at 9.061 R at 9.067 Logic S at 9.064 MR 2.4 6. Jerry said that there is no way to show 0.0008 with ten-thousandths on a number line. Is Jerry correct? No. Explain your answer. Just set up a number line from 0 to 0.001 and break the line into 10 equal segments. Each segment is one ten-thousandth. Eight segments from 0 equal 8 ten-thousandths. page 92 Home Resource and Homework Chapter 12 Lesson 2 E – © CSL Associates, Inc. All rights reserved. Write the letter to show the decimal number. MCX94TEG5CH01_32.v7.4.2 2/24/01 19:45 Page 253 Name P RAC T I C E Which decimal number does each point show? 0 0.1 A C 0.2 0.3 0.2 1. A B 0.4 0.5 0.5 B D 0.6 0.7 0.8 0.9 0.3 C P 1 1.1 1.1 D Q S R 2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41 2.34 2. P 2.38 Q W 2.41 R X 2.40 S Y Z 5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991 5.981 3. W X 5.985 Y 5.989 5.99 Z Write the letter to show the decimal number. E – © CSL Associates, Inc. All rights reserved. Q P S R 3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81 4. P at 3.73 Q at 3.7 R at 3.81 X W S at 3.79 Y Z 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 5. W at 9.068 Math Reasoning X at 9.063 Y at 9.069 Z at 9.071 Logic MR 2.4 6. Mark said that there is no way to show a decimal number with ten-thousandths on a number line. Is Mark correct? No Explain your answer. You can make a number line for any decimal. Enlarge the number line for the thousandths, and divide each section by 10. Chapter 12 – Lesson 2 Student Book Page page 137 Name …at home! P RAC T I C E Which decimal number does each point show? Q 0 0.1 P 0.2 0.4 1. P 0.3 S 0.4 0.5 0.1 Q D 0.6 B 0.7 R 0.8 0.9 1 R A 1.1 1 0.7 S C 2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41 2.36 2. A 2.33 B L N 2.39 C M 2.31 D K 5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991 3. K 5.988 5.982 L 5.986 M N 5.984 Write the letter to show the decimal number. C B D 3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81 4. A at 3.71 B at 3.79 Q S C at 3.75 R D at 3.8 P 9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071 5. P at 9.07 Math Reasoning Q at 9.061 R at 9.067 Logic S at 9.064 MR 2.4 6. Jerry said that there is no way to show 0.0008 with ten-thousandths on a number line. Is Jerry correct? No. Explain your answer. Just set up a number line from 0 to 0.001 and break the line into 10 equal segments. Each segment is one ten-thousandth. Eight segments from 0 equal 8 ten-thousandths. page 92 Home Resource and Homework Chapter 12 Lesson 2 E – © CSL Associates, Inc. All rights reserved. A