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What patterns do you see in the place value chart?. Each place is 10 times greater than the place to its right. Each period or group is divided into 3 places – ones, tens, hundreds. Each period or group is separated by a comma. Expanded Form.
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What patterns do you see in the place value chart? • Each place is 10 times greater than the place to its right. • Each period or group is divided into 3 places – ones, tens, hundreds. • Each period or group is separated by a comma.
Expanded Form • Writing a number as the sum of the values of each digit 3 , 5 0 8 = 3,000 + 500 + 8 (3 x 1,000) + (5 x 100) + (8 x 1) 2 7 1 6 0 = 20,000 + 7,000 + 100 + 60 , (2 x 10,000) + (7 x 1,000) + (1 x 100) + (6 x 10)
Expanded Form 4 7 0 6 2 = 40,000 + 7,000 + 60 + 2 , (4 x 10,000) + (7 x 1,000) + (6 x 10) + (2 x 1) (4 x 104) + (7 x 103) + (6 x 101) + (2 x 100) 6 8 , 2 5 0 , 0 0 0 = 60,000,000 + 8,000,000 + 200,000 + 50,000 (6 x 10,000,000) + (8 x 1,000,000) + (2 x 100,000) + (5 x 10,000) (6 x 107) + (8 x 106) + (2 x 105) + (5 x 104)
Standard Form to Number and Word Form • Write significant digits • Change comma to decimal • Name the period indicated by the comma 4 8 , 5 0 0 , 0 0 0 6 7 5 0 , 0 0 0 , 8 5 . million 46 75 . million
Standard Form to Number and Word Form 1 2 , 8 0 0 , 0 0 0 , 0 0 0 8 , 7 0 0 , 0 0 0 12 8 . million 8 7 . billion , 0 0 0 6 1 , 1 0 0 , 0 0 0 , 0 0 0 61 1 . trillion
Number and Word Form to Standard Form • Change decimal to comma • Add zeros to fill in periods 2 3 . million 128 million 128 ,000 ,000 2 3 , 00, 000 30 8 . million 30 8 , 00, 000
Write the value of the underlined digit 67,985,046 80,000
Write the value of the underlined digit 67,985,046 40
Write the value of the underlined digit 67,985,046 7,000,000
Write the value of the underlined digit 125,761,942 700,000
Write the value of the underlined digit 125,761,942 1,000
Write the value of the underlined digit as a power of 10 43,520,819 5 x 100,000
Write the value of the underlined digit as a power of 10 43,520,819 8 x 100
Write the value of the underlined digit as a power of 10 43,520,819 9 x 1
Write the value of the underlined digit as a power of 10 43,520,810 1 x 10
Write the value of the underlined digit as a power of 10 43,520,810 5 x 100,000
Write the value of the underlined digit as a power of 10 with exponents 179,542,603 1 2 3 2 x 103
Write the value of the underlined digit as a power of 10 with exponents 179,542,603 1 2 3 4 5 5 x 105
Write the value of the underlined digit as a power of 10 with exponents 179,542,603 1 2 3 4 5 6 7 7 x 107
Write the value of the underlined digit as a power of 10 with exponents 179,542,603 3 x 100
Round to the hundreds place. 52,684 52,700
Round to the ten thousands place. 869,417,205 869,420,000
Round to the thousands place. 146,207,219 146,207,000
Round to the hundred thousands place. 3,958,216 4,000,000