Seat Work: Word Problem On Thursday, 1335 books were borrowed from the library. On Friday, 1852 books were borrowed. How many books were borrowed in all? G: what is the important info? Highlight it. R: let x represent: ________________ A: now, put it into math language. X = S: solve the equation S: Statement There were ______________ books borrowed in all. Bonus: Approximately, or to the nearest thousand, how many books were borrowed? 1 Seat Work Number Placement What is the place value of the number 4 in the following problems? 1.) 567.431 2.) 981.042 3.) 453.2 4.) 784.32 Write these fractions as decimals. 5.) 6/10 6.) 5/100 7.) 87/ 1000 8.) 6/100 9.) 734/1000 Which are greater and which are smaller? Beside each, write your answer. 2 Model Notes: Place Value ____________________________ ________________________ _____________ 346.21 ______ ___________________ We SAY three hundred fourty six AND twenty one hundredths AND means _____________________ e.g. 321.49 We say ______________________________________________________ 3 Let's break the placement rules down: 6,702 = 6 thousands and 7 hundreds and 0 tens and 2 ones= 6 x 1000 + 7 x 100 + 0 x 10 + 2 x 1 = 6000 + 700 + 0 + 2. The digit 6 in the number 6,702 actually has the value 6,000. The digit 7 is the value 700. This is why our number system is called also a place value system, because the value of a digit (like 6 or 7 in our example) depends on its placement within the number. In other words, the digit 6 in 6702 does not mean six but six thousand because the six is placed in the thousands' place. The place of a digit determines its value. 6 , 7 0 2 thousands hundreds tens ones 4 Decimal numbers, such as O.6495, have four digits after the decimal point. Each digit is a different place value. The first digit after the decimal point is called the tenths place value. There are six tenths in the number O.6495 or 6 10 The second digit tells you how many hundredths there are in the number. The number O.6495 has four hundredths or 4 100 The third digit is the thousandths place or 9/1000 The fourth digit is the tenthousandths place which is five in this example or 5/10 000 Therefore, there are six tenths, four hundredths, nine thousandths, and five ten thousandths in the number 0.6495. 5 Moving back and forth...... 12 34 567 8 6
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