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Module 1 Lesson 2 Common Core Standards • 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. • 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. • 5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Learning Targets 1.I can use pictures to show relations between adjacent place values from millions to thousandths 2.I can use place value relations to find products and quotients of powers of ten Activate Knowledge Skip count by threes to 36 and back. 0 10 20 30 40 50 Activate Knowledge Skip count by fours to 48 and back. 0 10 20 30 40 50 Activate Knowledge 3 8 8 3 o n es = _ _ _ _ ten s_ _ _ _ _ o n es Activate Knowledge 9 3 o n es = 3 9 _ _ _ _ ten s_ _ _ _ _ o n es Activate Knowledge 3 10 1 0 3 o n es = _ _ _ _ ten s_ _ _ _ _ o n es Activate Knowledge 3 11 1 1 3 o n es = _ _ _ _ ten s_ _ _ _ _ o n es Activate Knowledge 1 6 3 o n es = _16 _ _ _ ten s_ _ 3 _ _ _ o n es Activate Knowledge 2 6 3 o n es = _26 _ _ _ ten s_ _ _3_ _ o n es Activate Knowledge 46 3 4 6 3 o n es = _ _ _ _ ten s_ _ _ _ _ o n es Activate Knowledge 87 tens_____ones 5 875 ones = ____ Activate Knowledge thousand 10 hundreds = 1____________ Activate Knowledge 1 0 ten s = 1 _hundred ___________ Activate Knowledge ten 1 0 o n es = 1 _ _ _ _ _ _ _ _ _ _ _ _ Activate Knowledge whole 10 tenths = 1____________ Activate Knowledge hundredth 10 thousandths = 1____________ Activate Knowledge Using a white board: Put a 3 in the ones place. 3 3 0 Multiply by 10. (How does it move?) …and add the place holder in the ones place. Activate Knowledge 2 0 o n es = 2 ____ ten s Activate Knowledge 3 0 o n es = 3 ____ ten s Activate Knowledge 8 0 o n es = 8 ____ ten s Activate Knowledge 9 0 o n es = 9 ____ ten s Activate Knowledge 100 10 o n es = _ _ _ _ ten s Activate Knowledge 110 11 o n es = _ _ _ _ ten s Activate Knowledge 120 12 o n es = _ _ _ _ ten s Activate Knowledge 17 1 7 0 o n es = _ _ _ _ ten s Activate Knowledge 270 27 o n es = _ _ _ _ ten s Activate Knowledge 670 67 o n es = _ _ _ _ ten s Activate Knowledge 640 64 o n es = _ _ _ _ ten s Activate Knowledge 830 83 o n es = _ _ _ _ ten s Activate Knowledge x 10 3 3 0 Activate Knowledge x 10 0 2 2 Activate Knowledge x 10 3 3 2 2 Activate Knowledge x 10 3 3 2 2 4 4 Activate Knowledge x 10 2 2 4 4 5 5 Activate Knowledge x 10 1 1 0 0 3 3 Activate Knowledge ÷ 10 2 2 Activate Knowledge ÷ 10 3 0 3 Activate Knowledge ÷ 10 2 3 2 3 Activate Knowledge ÷ 10 2 3 5 2 3 5 Activate Knowledge ÷ 10 5 2 0 5 2 A school district ordered 247 boxes of pencils. Each box contains 100 pencils. If the pencils are to be shared evenly amongst 10 classrooms, how many pencils will each class receive? Use a place value chart to show your thinking. 2 4 7 2 4 7 0 0 2 4 7 0 0 2 4 7 0 Teamwork Turn and share with your partner. What do you remember about how adjacent units on the place value chart are related? Learn • Moving one position to the left of the place value chart makes units 10 times larger. • Moving one position to the right makes units 1/10 the size. Teamwork Work with your partner to solve these problems. Write two complete number sentences on your board. 367 × 10 367 × 10 = 3,670 367 ÷ 10 367 ÷ 10 = 36.7 3 6 7 3 6 7 0 3 6 7 3 6 7 Teamwork Work with your partner to solve these problems without the place value chart. Write two complete number sentences on your board. 215.6 × 100 215.6 × 100 = 21,460 215.6 ÷ 100 215.6 ÷ 100 = 2.156 Teamwork Work with your partner to solve these problems without the place value chart. Write two complete number sentences on your board. 3.7 × 100 3.7 × 100 = 370 3.7 ÷ 100 3.7 ÷ 100 = 0.037 Teamwork Work with your partner to solve these problems without the place value chart. Write two complete number sentences on your board. 0.482 × 1000 0.482 × 1000 = 482 482 ÷ 1000 482 ÷ 1000 = 0.482 Practice Please take approximately 10 minutes to complete your Lesson 2 Problem Set WS. Click the timer to begin. Click to pause/resume. If you leave this slide, the timer will reset. Practice 540,000 54,000 x 10 = ___________________ Practice 5,400 54,000 ÷ 10 = __________________ Practice 87 8.7 x 10 = ___________________ Practice 0.87 8.7 ÷ 10 = ________________ Practice 13 0.13 x 100 = _______________ Practice 0.013 13 ÷ 1000 = ___________________ Practice 3,120 3.12 x 1000 = _________________ Practice 40.312 4031.2 ÷ 100 = _________________ Practice Find the products. 193,400 19,340 x 10 = ___________________ Practice Find the products. 193,400 19,340 x 10 = ___________________ 1,934,000 19,340 x 100 = ___________________ Practice Find the products. 193,400 19,340 x 10 = ___________________ 1,934,000 19,340 x 100 = ___________________ 19,340,000 19,340 x 10000 = ___________________ Practice Find the products. 193,400 19,340 x 10 = ___________________ 1,934,000 19,340 x 100 = ___________________ 19,340,000 19,340 x 10000 = ___________________ Explain how you decided on the number of zeros in the products. Practice Find the quotients. 15.2 152 ÷ 10 = ___________________ Practice Find the quotients. 15.2 152 ÷ 10 = ___________________ 1.52 152 ÷ 100 = ___________________ Practice Find the quotients. 15.2 152 ÷ 10 = ___________________ 1.52 152 ÷ 100 = ___________________ 0.152 152 ÷ 1000 = ___________________ Practice Find the quotients. 15.2 152 ÷ 10 = ___________________ 1.52 152 ÷ 100 = ___________________ 0.152 152 ÷ 1000 = ___________________ Explain how you decided on the number of zeros in the products. Practice Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a place value chart to correct Janice’s error. Practice Canada has a population that is about 1/10 as large as the United States. If Canada’s population is about 32 million, about how many people live in the United States? Explain the number of zeros in your answer. Exit Ticket a. 32.1 x 10 = ___________________ b. 3632.1 ÷ 10 = ____________________ c. 455 x 1000 = _______________ d. 455 ÷ 1000 = __________________ Please complete the Homework WS for Lesson 2 tonight.