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Mastering Place Value: Understanding Numbers, Patterns, and Decimals

Dive into the world of mathematics with this comprehensive guide on place value, number comparison, and patterns. Discover how many sides a pentagon has, learn the value of each digit in large numbers, and understand the difference between whole numbers and decimals. Through engaging examples and practices, grasp concepts like written notation, expanded form, and greater or less than comparisons. Perfect for students eager to enhance their math skills!

marah-rutledge
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Mastering Place Value: Understanding Numbers, Patterns, and Decimals

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Presentation Transcript

  1. Do Now! • How many sides does a pentagon have? • What is the value of the 3 in this number? 326,619 • How many seconds are in a minute? • Finish the pattern… 0,3,6,9,12,__,__,__,__,

  2. Place Value Written and expanded notation Equal numbers

  3. Vocabulary • < Less than • > more than • = equal to • Whole number- Number greater than 0 without decimals

  4. Written Notation • Written notation is the number in words. • 521 is five hundred twenty one • 1,546 is one thousand five hundred fourty six • 5,176 • 865 • 25

  5. Expanded form • Shows numbers in an extended addition form • 458 is 400+50+8 • 456,251 is 400,000+50,000+6,000+200+50+1 • 965 • 456,563,100

  6. Comparing numbers • Greater and less than • 125 and 145 • 122,456 and 122,457

  7. Place Value with Decimals Decimal- Number smaller than one but greater than 0.

  8. Decimal Chart

  9. Decimal • Decimals seem to go backwards when going through the units. • At the end of each place value add the ending – ths

  10. What are the place values • 152.456 • 1.01256 • 0.754695 • .0023 • .1 • .5236

  11. Place values Given the number 0.145362 • What is in the thousandths place? • Hundredths? • Hundred thousandths? • Tenths? • Millionths? • Ten thousandths?

  12. Comparing numbers with Decimals • When comparing numbers that have decimals that are different, the bigger the number is the smaller the value!!! • 123.456 is greater than 123.457 • You must look at each digit very closely

  13. Lets practice • Written form of • .120 • .4565

  14. Lets practice • Expanded form of: • .1254 • .4521 • .12 • .85630

  15. Let’s practice • Compare the numbers below • 1.2563____1.1253 • 0.25896___0.1 • 0.256___.8546

  16. Final practice • List from least to greatest • 5.123 • 5.2365 • 2.1459 • .1524 • 0.12 • .524 • .8

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