Place Value

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. 3 7 6 6 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

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

Decimal .896 - tenths place - there are 8 one tenths (1/10) - there is a value of 8 tenths (8/10)

Decimal .128 - hundredths place - there are 2 one hundredths (1/100) - there is a value of 2 hundredths (2/100)

Decimal .658 - thousandths place - there are 8 one thousandths (1/1000) - there is a value of 8 one thousandths (8/1000)

Let’s Practice! What information do we know about the underlined digit? .396 .243 .075

You try! Please work on the following worksheet!

Place Value and Decimals Standard Form Word Form Expanded Form

Place Value and Decimals 23.56 Standard Form: 23.56 Word Form: twenty-three and fifty six hundredths 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: 2(10)+3(1)+5(1/10)+6(1/100)

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)

Let’s practice 8.65 39.206 89.76

You try! Please work on the following hand out!

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 because it has a value of 7/10 compared to the digit 9 which 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 because it has a value of 2/10 compared to the digit 9 which 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 .924 .0754 vs .123 .908 vs .298

You try! Your on the following sheet!

Before you go! Please write the expanded form of the following decimals: .321 .9087 .4567