+ Place Value 9/10/15

+ Do Now Create a 4 digit number and underline one digit. For the underlined digit provide the three pieces of information that we can learn from a place value.

+ Do Now: Would anyone like to share their number? There are 3 things we can learn from a digit within a number. Using the underline digit tell me those 3 pieces of information is in the ones place There are 6 ones There is a value of 6

+ Place Value Place value-the value of where the digit is in the number Think how many sets!

+ Decimals Part of whole Based on 10 (tenth, hundredth, thousandth) Think of it as another way of writing fractions

+ Decimals

+ Tenths First place behind the decimal 1/10

+ Hundredths Second place behind the decimal 1/100

+ Thousandths Third Place behind the decimal point 1/1000

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+ Decimals When we look at the place value of decimals we still learn our three things: The place How may sets The value

+ Decimal tenths place - there are 8 one tenths (1/10) - there is a value of 8 tenths (8/10)

+ Let’s Practice! What information do we know about the underlined digit?

+ Let’s look at value! Remember when we think place value we think about how many sets the digit represents Think of decimals as fractions! The larger the denominator the smaller the piece! 1/1000<1/100<1/10

+ Which has a larger value?.75 vs.092 The digit 7 has the larger value. I know this because the 7 is in the tenths place. This means there are 7 sets of 1/10 and it has a value of 7/10, compared to the digit 9 which is in the hundredths place. The 9 represents 9 sets of 1/100 and has a digit of 9/100. Think about food would you rather have to share food with 10 people or 100 people

+ Which has a larger value?.215 vs.3592 The digit 2 has the larger value. I know this because the two is in the tenths place. This means there are 2 sets of 1/10 and it has a value of 2/10, compared to the digit 9 which is in the thousandths place. The 9 represents 9 sets of 1/1000 and has a digit of 9/1000. Think about food would you rather have to share food with 10 people or 1000 people

+ Which has the larger value?.986 vs vs vs.298 Let’s show what we know by writing an explanation!

+ Writing Explanations Answer the question Use the phrase I know this because… Use vocabulary Make strong statements

+ You try!.6542 vs vs vs.06432

+ Place Value and Decimals Standard Form Word Form Expanded Form

+ Place Value and Decimals Standard Form: 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)

+ Let’s practice

+ Let’s practice

+ You try! Please work on the following hand out!