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Place Value Chart. WHOLE SIDE. PART SIDE. - Values are arranged into periods. Values are between. 0 and 1. - Each period has 3 places: ones, tens, hundreds. Powers of 10 have. - Values are greater than or equal to a whole. negative exponents. Powers of 10 have positive exponents.
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Place Value Chart WHOLE SIDE PART SIDE - Values are arranged into periods • Values are between 0 and 1 - Each period has 3 places: ones, tens, hundreds • Powers of 10 have - Values are greater than or equal to a whole negative exponents • Powers of 10 have positive exponents • The exponent tells the number of places • The exponent tells the number of zeros right of the decimal billions millions thousands ones hundreds tens ones hundreds tens ones ten thousandths hundred thousandths tenths hundredths thousandths Exception: The power of 10 for 1 is 100
Place Value Patterns • Values are arranged into periods • Each period or group is divided into 3 places – ones, tens, hundreds. • Each period or group is separated by a comma. billions millions thousands ones hundreds tens ones hundreds tens ones ten thousandths hundred thousandths tenths hundredths thousandths
Place Value Patterns • Each place is 10 times greater than the place to its right. ten thousandths hundred thousandths tenths hundredths thousandths 100 x 10 = 10 x 10 = 1000 1 x 10 = 100 10 1
Place Value Patterns • Values on the part side end in “ths” • Values mirror the whole side, but there is no oneths place ten thousandths hundred thousandths tenths hundredths thousandths
Reading Large Numbers • Read the numbers in the first period. • At the comma, say the name of the period you just read. • Repeat with each period. • In the ones period, just read the number. Do not say the name of the period. millions thousands millions thousands 3 8 , 5 0 2 , 0 4 7 4 2 , 0 5 0 , 1 0 0 38 million 502 thousand 47 42 million 50 thousand 100
Reading Small Numbers • Read the whole number • At the decimal, read the word “and” • Underline the final digit on the part side • Identify its place value • Read the part side as you normally would • Say the final place value ten thousandths tenths hundredths thousandths 4,502 1016 . ten thousandths 4 thousand 5 hundred 2 and ten thousandths 1 thousand 16
Reading Small Numbers • Read the whole number • At the decimal, read the word “and” • Underline the final digit on the part side • Identify its place value • Read the part side as you normally would • Say the final place value tenths hundredths thousandths 340 025 . thousandths 3 hundred 40 and thousandths 25
Reading Small Numbers • If there is no whole number, just skip to the part side • Underline the final digit on the part side • Identify its place value • Read the part side as you normally would • Say the final place value tenths hundredths thousandths 0 318 . thousandths thousandths 358
Writing Small Numbers three hundred fifty-nine ten thousandths • Fill in the digits so the last digit is in the last space at the right. • Fill in any extra spaces in front with zeros 3 5 9 • Draw a decimal point and mark spaces up to the place identified. 0 . tenths hundredths thousandths ten thousandths
Writing Small Numbers fourteen ten thousandths • Fill in the digits so the last digit is in the last space at the right. • Fill in any extra spaces in front with zeros 1 4 • Draw a decimal point and mark spaces up to the place identified. 0 0 . tenths hundredths thousandths ten thousandths
Writing Small Numbers and seven hundred thirty-eight thousandths six • Fill in the digits so the last digit is in the last space at the right. 7 3 8 • Write the whole number • Write a decimal for the word “and” • Mark spaces up to the place identified 6 . tenths hundredths thousandths
Place Value Let’s practice some place value exercises!
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