2 Place Value ChartA place value chart is divided into periods: billions, millions, thousands, and ones.Each period is divided into 3 columns: hundreds, tens, and ones.A decimal separates the whole numbers from the decimal numbers.Example:BillionsMillionsThousandsOnes•TenthsHundredthsThousandthsTen ThousandthsH T OH T O
3 Identifying the Decimal Place of Digits: 1. Use the place value chart to fill in the number (Remember: Only place 1 number in each column.)Identify the column the digit is in.Examples:What place is the 6 in the number ?What place is the 5 in the number 0.985?BillionsMillionsThousandsOnes•TenthsHundredthsThousandthsTen ThousandthsH T OH T O
4 Identifying the Decimal Place of Digits: Trick:Place a 1 under the decimalPlace 0’s under each of the following numbers.Add ths to the number to get the placeExample:What place is the 3 in the number ?10000The 3 is in the ten thousandths place!
5 Identifying the Decimal Place of Digits: Examples:What place is the 4 in the number ?What place is the 2 in the number ?What place is the 7 in the number ?What place is the 8 in the number ?What place is the 1 in the number ?What place is the 5 in the number ?
6 Answers: What place is the 4 in the number 12.456? Tenths What place is the 2 in the number ? HundredthsWhat place is the 7 in the number ?OnesWhat place is the 8 in the number ?ThousandthsWhat place is the 1 in the number ?TensWhat place is the 5 in the number ?Ten Thousandths
7 Identifying the Value of Decimals: Write the number that is underlined.Fill all spaces to the LEFT of the digit with zeros. (Don’t forget the decimal!)Omit all numbers to the RIGHT.
8 Identifying the Value of Decimals: Examples:What is the value of the underlined digit?23.6430.98512.548
9 Identifying the Value of Decimals: Answers:What is the value of the underlined digit?
10 Reading Decimals: The decimal represents the word AND When reading decimals, read the number and the column of the last digitHINT: Cover up the decimal and read the number in front. Then read AND and the number behind the decimal and the place of the last digit.Example: read as forty three thousandthsExample: read as sixty five hundredthsExample: read as six and seven tenths
11 Reading Decimals Example: 22.789 Twenty two and seven hundred eighty nine thousandthsExample: 17.54Seventeen and fifty four hundredthsExample: 1,One thousand four hundred fifty six and nine thousandthsExample:Two hundred forty five and eighty seven hundredthsExample: 17.9Seventeen and nine tenths
12 Writing DecimalsWhen writing decimals in standard form, the last number must be in the place value stated.It may be necessary to add zeros in all other columns in order to hold the place of the digit.HINT: Cover up “and” and all words behind it. Write the number in front. Then identify the place that the last digit should be in and write the last number. Fill in all other numbers and add zeros if needed.
13 Writing Decimals Examples: Fourteen and three tenths 14.3 Four and seven hundredths4.07Ninety-three thousandths0.093
14 Writing Decimals Two thousand six and four thousandths 2,006.004 Five hundred eight one and six ten-thousandthsTwelve thousand four and twenty one hundredths12,004.21
15 Equivalent Decimals Equivalent means equal Steps to writing equivalent decimals:Write the number exactly.Add one or more zeros to the END of the number (Adding zeros to the end of a decimal number does not change the value of the number)