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Dive into a worksheet on a new number system for upper grades, focusing on place value concepts and number sequences. Understand the similarities and differences between different number systems. Practice writing numbers in unit form. Solve problems using place value strategies.
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Place Value in the Upper Grades Come in and get started on a worksheet sheet on your table! October 26, 2015
A New Number System Tips: • It may be more helpful to try to continue the letter sequence than to match the letters to numbers in our system. • There are similar patterns in this number system and our number system. There are only six symbols in this new system (A-E and *), and there are only ten symbols in our system. Think about how how we use a 1 and a 0 to make ten. How is that the same as 1 by itself? How is it different? What about 1, 0, and 0 to make 100? How does this new system use two symbols to represent numbers that are similar to (but not the same as) as 10 and 100? Big Idea: The base ten numeration system is a scheme for recording numbers using digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, groups of ten, and place value.
Making Units:Writing Numbers in Unit Form 43 = 4 tens 3 ones = 43 ones 120 = 1 hundred 2 tens = 12 tens = 120 ones 1,200 = 12 hundreds, 120 tens, etc. 35.2 = 352 tenths 4.23 = 423 hundredths
Place Value Chart (4th) This place value chart represents 41,000 + 470,000. Students represent both quantities on the chart, then bundle place value units to make the next unit.
Place Value Chart (4th) Unbundled from 1 ten thousand
Let’s Try These Problems!4th Grade Try using place value to solve these problems: 2,483 + 4,146 3,524 – 2,173
Let’s Try These Problems!5th Grade Try using place value to solve these problems: 4.83 + 1.46 5.24 – 1.73