1.2 Thousandths. Investigate. Math Talk. Essential Question. Materials color pencils straightedge

Transcription

1 ? Name 1.2 Thousandths Essential Question How can you describe the relationship between two decimal place-value positions? Number and Operations 5.2. MTHEMTIL PROESSES 5.1., 5.1.F Investigate Materials color pencils straightedge Thousandths are smaller parts than hundredths. If one hundredth is divided into ten equal parts, each part is one thousandth. Use the model at the right to show tenths, hundredths, and thousandths.. ivide the larger square into equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.. ivide each rectangle into equal squares. Use a second color to shade in one of the squares. What part of the whole is the shaded square? Write that part as a decimal and a fraction.. ivide the enlarged hundredths square into equal columns or rectangles. If each hundredths square is divided into ten equal rectangles, how many parts will the model have? Use a third color to shade one rectangle of the enlarged hundredths square. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction. Math Talk Mathematical Processes There are times as many hundredths as there are tenths. Explain how the model shows this. Module 1 11

2 Make onnections The relationship of a digit in different place-value positions is the same with decimals as it is with whole numbers. You can use your understanding of place-value patterns and a place-value chart to write decimals that are times as much as or 1 of any given decimal. Ones Tenths Hundredths Thousandths 0 0 4? 0.04? times as much 1 is times as much as is 1 of Use the steps below to complete the table. STEP 1 Write the given decimal in a place-value chart. ecimal times as much as 1 STEP 2 Use the place-value chart to write a decimal that is times as much as the given decimal STEP 3 Use the place-value chart to write a decimal that is 1 of the given decimal Math Talk Mathematical Processes escribe the pattern you see when you move one decimal place value to the right and one decimal place value to the left. Share and Show 1. Write the decimal shown by the shaded part of the model. Use place-value patterns to complete the table. ecimal times as much as

3 Name Problem Solving Use the table for What is the value of the digit 2 in the carpenter bee s length? ee Lengths (in meters) 7. If you made a model of a bumblebee that was times as large as the actual bee, how long would the model be in meters? Write your answer as a decimal. umblebee arpenter ee Leafcutting ee Orchid ee Sweat ee Record The sweat bee s length is 6 thousandths of a meter. omplete the table by recording the sweat bee s length. Write Math Show Your Work 9. n atlas beetle is about 0.14 of a meter long. How does the length of the atlas beetle compare to the length of a leafcutting bee? Image redits: (tr) Photodisc/Getty Images. Multi-Step Terry, Sasha, and Harry each chose a number. Sasha s number is times as much as Harry s number. Terry s number is times as much as Sasha s number. Harry s number is What number did each person choose? 11. Write Math Explain how you can use place value to describe how 0.05 and compare. Module 1 Lesson 2 13

4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 12. squirrel is 1.1 feet tall. The squirrel shrinks to 1 of its height. How tall is the squirrel now? 11.0 feet 0.11 feet 1. feet feet 13. Use iagrams Write the decimal shown by the model Multi-Step chef uses 0.03 liter olive oil to make soup. He uses times as much chicken broth as olive oil. He uses times as much vegetable broth as chicken broth. How much vegetable broth does he use? liter 0.03 liter 0.3 liter 3 liters TEXS Test Prep 15. What is the relationship between 1.0 and 0.1? is times as much as is 1 of is 1 of is equal to 0.1

5 Homework and Practice Name Number and Operations 5.2. MTHEMTIL PROESSES 5.1., 5.1.F 1.2 Thousandths Write the decimal shown by the shaded part of the model Use place-value patterns to complete the table ecimal times as much as ecimal times as much as Problem Solving 5. ndy makes a model of a new tool that is 0.24 meter long. His model is times as large as the actual tool. How big is the model? 6. Jamie makes a necklace with beads that are 0.08 meter long. Her next necklace will have beads that are 1 the size of the beads of the first necklace. What will be the length of the beads for the second necklace? Module 1 Lesson 2 15

6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 7. What is the value of the digit 1 in the number 0.413? 1 tenth 1 hundredth 1 hundreds 1 tens 8. How does 0.03 compare to 0.003? 0.03 is times as much as is 0 times as much as is 1 of is 1 of The ice on a pond is 0.03 meter thick. If the ice were times as thick, how many meters thick would the ice be? meter 0.3 meter 3 meters. How does compare to 0.08? is times as much as is 0 times as much as is 1 of is 1 of meters 11. Multi-Step green ribbon is 9 inches long. red ribbon is 1 the length of the green ribbon. purple ribbon is times as long as the red ribbon. What is the length of the purple ribbon? 12. Multi-Step lan lives times as far from school as Linda. Linda lives 0.7 mile from school. Jenny lives 1 as far from school as lan. Pedro lives 1 as far from school as Jenny. How far from school does Pedro live? 0.09 inch 7 miles 9 inches 0.07 mile 0.9 inch 70 miles 90 inches 0.7 mile 16