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Module 1 Lesson 2
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• 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.
Common CoreStandards
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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
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0 10 20 30 40 50
Activate Knowledge
Skip count by threes to 36 and back.
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0 10 20 30 40 50
Activate Knowledge
Skip count by fours to 48 and back.
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Activate Knowledge
83 ones = ____ tens_____ones8 3
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Activate Knowledge
93 ones = ____ tens_____ones9 3
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Activate Knowledge
103 ones = ____ tens_____ones10 3
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Activate Knowledge
113 ones = ____ tens_____ones11 3
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Activate Knowledge
163 ones = ____ tens_____ones16 3
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Activate Knowledge
263 ones = ____ tens_____ones26 3
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Activate Knowledge
463 ones = ____ tens_____ones46 3
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Activate Knowledge
875 ones = ____ tens_____ones87 5
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Activate Knowledge
10 hundreds = 1____________thousand
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Activate Knowledge
10 tens = 1____________hundred
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Activate Knowledge
10 ones = 1____________ten
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Activate Knowledge
10 tenths = 1____________whole
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Activate Knowledge
10 thousandths = 1____________hundredth
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Activate Knowledge
3
Using a white board:Put a 3 in the ones place.
Multiply by 10. (How does it move?)
3 0
…and add the place holder in the ones place.
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Activate Knowledge
20 ones = ____ tens2
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Activate Knowledge
30 ones = ____ tens3
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Activate Knowledge
80 ones = ____ tens8
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Activate Knowledge
90 ones = ____ tens9
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Activate Knowledge
100 ones = ____ tens10
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Activate Knowledge
110 ones = ____ tens11
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Activate Knowledge
120 ones = ____ tens12
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Activate Knowledge
170 ones = ____ tens17
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Activate Knowledge
270 ones = ____ tens27
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Activate Knowledge
670 ones = ____ tens67
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Activate Knowledge
640 ones = ____ tens64
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Activate Knowledge
830 ones = ____ tens83
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Activate Knowledge
x 10
3
3 0
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Activate Knowledge
x 10
20
2
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Activate Knowledge
x 10
23
23
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Activate Knowledge
x 10
23 4
23 4
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Activate Knowledge
x 10
42 5
42 5
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Activate Knowledge
x 10
1 30
1 30
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Activate Knowledge
÷ 10
2
2
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Activate Knowledge
÷ 10
3
0 3
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Activate Knowledge
÷ 10
32
32
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Activate Knowledge
÷ 10
32 5
32 5
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Activate Knowledge
÷ 10
5 2
5 20
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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 72 4 7 00
2 4 7 00
2 4 7 0
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Teamwork
Turn and share with your partner.
What do you remember about how adjacent units on the place value chart are related?
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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.
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TeamworkWork with your partner to solve these problems. Write two complete number sentences on your board.
367 × 10 367 ÷ 10
3 6 73 6 7 0
3 6 73 6 7
367 × 10 = 3,670 367 ÷ 10 = 36.7
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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
215.6 × 100 = 21,460 215.6 ÷ 100 = 2.156
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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
3.7 × 100 = 370 3.7 ÷ 100 = 0.037
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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 482 ÷ 1000
0.482 × 1000 = 482 482 ÷ 1000 = 0.482
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Practice
Please take approximately 10 minutesto 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.
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Practice
54,000 x 10 = ___________________ 540,000
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Practice
54,000 ÷ 10 = __________________ 5,400
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Practice
8.7 x 10 = ___________________ 87
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Practice
8.7 ÷ 10 = ________________ 0.87
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Practice
0.13 x 100 = _______________13
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Practice
13 ÷ 1000 = ___________________0.013
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Practice
3.12 x 1000 = _________________3,120
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Practice
4031.2 ÷ 100 = _________________40.312
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Practice
Find the products.
19,340 x 10 = ___________________193,400
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Practice
Find the products.
19,340 x 10 = ___________________
19,340 x 100 = ___________________
193,400
1,934,000
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Practice
Find the products.
19,340 x 10 = ___________________
19,340 x 100 = ___________________
19,340 x 10000 = ___________________
193,400
1,934,000
19,340,000
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Practice
Find the products.
19,340 x 10 = ___________________
19,340 x 100 = ___________________
19,340 x 10000 = ___________________
Explain how you decided on the number of zeros in the products.
193,400
1,934,000
19,340,000
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Practice
Find the quotients.
152 ÷ 10 = ___________________15.2
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Practice
Find the quotients.
152 ÷ 100 = ___________________
152 ÷ 10 = ___________________15.2
1.52
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Practice
Find the quotients.
152 ÷ 10 = ___________________
152 ÷ 100 = ___________________
152 ÷ 1000 = ___________________
15.2
1.52
0.152
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Practice
Find the quotients.
152 ÷ 10 = ___________________
152 ÷ 100 = ___________________
152 ÷ 1000 = ___________________
Explain how you decided on the number of zeros in the products.
15.2
1.52
0.152
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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.
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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.
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ExitTicket
a. 32.1 x 10 = ___________________
b. 3632.1 ÷ 10 = ____________________
c. 455 x 1000 = _______________
d. 455 ÷ 1000 = __________________
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Please complete the HomeworkWS for Lesson 2 tonight.