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Place Value 9/14/15

Place Value 9/14/15. Do Now:. .215 vs .3592 Which has a larger value? Provide an explanation, which justifies your thinking!. Reviewing Place Value!. 1. Which side of the decimal is the digit? Before the decimal it is a whole number After the decimal it is a part of a whole ( ths ).

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Place Value 9/14/15

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  1. Place Value9/14/15

  2. Do Now: • .215 vs .3592 • Which has a larger value? • Provide an explanation, which justifies your thinking!

  3. Reviewing Place Value! • 1. Which side of the decimal is the digit? • Before the decimal it is a whole number • After the decimal it is a part of a whole (ths)

  4. Reviewing Place Value! • If the number is a whole number: • It is either in the ones, tens, hundreds, thousands, etc • It represents a certain number of sets of either ones (1), tens (10), hundreds (100), thousands (1000), etc • It has a value of a certain number of ones, tens, hundreds, thousands

  5. Reviewing Place Value! • If the number is part of a whole: • It is either in the tenths, hundredths, thousandths, etc • It represents a certain number of sets of either tenths (1/10), hundredths (1/100), thousandths (1/1000), etc • It has a value of a certain number of tenths (1/10), hundredths (1/100), thousandths (1/1000)

  6. Let’s Practice! What information do we know about the underlined digit? • 9.396 • 2.243 • 21.075 • 5.32 • 78.09 • 123.76 • 4321.09

  7. Which has a larger value • .0834 vs .2467 • .5104 vs .2714 • 23.9864 vs 53.06432 • 543.76 vs 1234.978

  8. Place Value and Decimals • Standard Form • Word Form • Expanded Form

  9. Standard Form • Standard Form- written with digits 45 78 13.59087 .365 430.576

  10. Word Form • Word form- when a number is written out in words Five and two tenths five hundred and ninety six hundredths one hundred three thousand *NOTE: THERE IS NO AND IN WORD FORM UNLESS THERE ARE DECIMALS

  11. Expanded Form • Expanded form- a sum of the all of the digits’ place value 9.8 We have a 9 in the ones place and an 8 in the tenths place 9(1)+8(1/10)= 9+.8=9.8 19.875 We have a 5 in the thousandths place, a 7 in the hundredths place, an 8 in the tenths place, a 9 in the ones place, and a 1 in the tens place 1(10)+9(1)+8(1/10)+7(1/100)+5(1/1000) 10+9+.8+.07+.005=19.875

  12. Place Value and Decimals 415.856 • Standard Form: 415.856 • Word Form: four hundred fifteen and eight hundred fifty six thousandths • Since we have decimals we use the word “and” to represent the decimal • To write which part is the decimal we emphasize the “ths”; this symbolizes a part of a whole • Expanded Form: 4(100)+1(10)+5(1)+8(1/10)+5(1/100)+6(1/1000)

  13. Let’s practice • 8.65 • 39.206 • 89.76

  14. You try! • Please work on the following hand out!

  15. Before you go! • Write the expanded and word form of the following decimal: 54.78

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