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Place Value through Millions. Expand whole numbers. Vocabulary. Expanded- write the value of each digit Digit- symbols used to show numbers Value- place of digit in number determines Place value- position of a digit in a number
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Place Value through Millions Expand whole numbers
Vocabulary • Expanded- write the value of each digit • Digit- symbols used to show numbers • Value- place of digit in number determines • Place value- position of a digit in a number • Period- group of 3 digits in a number, start from right, separated by comma
Notes 9 4 5 , 8 7 2 , 0 3 6 6-ones, 3-tens, 0-hundreds – ones period 2-thousands, 7-ten thousands, 8-hundred thousands – thousands period 5-millions, 4-ten millions, 9-hundred millions – millions period (Notice the pattern)
Notes 945,872,036 • Nine hundred forty-five, eight hundred seventy-two, thirty-six • 8 is in the hundred thousands place • Value is 800,000
Place Value through Thousandths Expand decimal numbers
Vocabulary • Equivalent decimal- name the same amount
Notes 3 . 9 0 2 3- ones, 9- tenths, 0- hundredths, 2- thousandths
Notes 3.902 • Three and nine hundred two thousandths • 9 is in the tenths place • Value is 0.9 (nine tenths) • 3 is in the ones place • Value is 3
Compare and Order Compare and order whole numbers and decimals
Vocabulary • Compare- decide which number is more or less • Order- arrange numbers from least to greatest or greatest to least
Notes Write the numbers and line up places Begin at left and compare Ex. 45,678 45,922 4 is =, 5 is =, 9 is bigger than 6 in the hundreds place, so 45,922 > 45,678
Notes Ex. 3.4, 3.399, 2.2 These numbers are in order from greatest to least 2 in ones place is least 4 in tenth place is greatest (3.400, 3.399, 2.200) Add zeros to end of decimal to write equivalent decimals