# Place Value - Understanding Numbers

## Mathematics, Grade 5

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Thousands 10 hundreds make up 1 thousand Hundreds 10 tens make up 1 hundred Tens 10 ones make up 1 ten Ones 1 Standard Form Expanded Form Number Word 372,512,489 300,000,000 + 70,000,000 + 2,000,000 + 500,000 + 10,000 + 2,000 + 400 + 80 + 9 three hundred seventy-two million, five hundred twelve thousand, four hundred eighty-nine 11 2 2 6 6 . hundredths tenths ones tens 1 one 2 tenths 6 hundredths 3 7 2 5 1 2 4 8 9 3 7 2 5 1 2 4 8 9 ones tens hundr eds ones tens hundr eds thousands thousands ten thousands ten thousands millions millions ten millions ten millions hundr ed millions hundr ed millions hundr ed thousands hundr ed thousands Ones Period Thousands Period Millions Period Place value is the value assigned to the position of a digit in a written number. A digit is a symbol used to write a number 0 to 9. A period is a group of three digits separated by a comma. Base–ten Place Value Decimal Place Value Our place value system is based on groups of ten. Each place represents ten times the value of the place to the right. 1.1 1.2 1.21 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.22 1.24 1.26 1.28 1.23 1.25 1.27 1.29 1.3 1.4 0 1.0 2.0 © Copyright NewPath Learning. All Rights Reserved. 93-4401 www.newpathlearning.com Place Value - Understanding Numbers
\|xiBAHBDy01658ozX 10 hundreds make up 10 tens make up 10 ones make up Standard Form Expanded Form Number Word 372,512,489 11 2 2 6 6 . hundredths tenths ones tens 1.26 Key Vocabulary Terms base-ten decimal expanded form hundreds hundredths millions millions period number word ones ones period place value standard form tens tenths thousands thousands period 3 7 2 5 1 2 4 8 9 3 7 2 5 1 2 4 8 9 Ones Period Thousands Period Millions Period Place value is the value assigned to the position of a digit in a written number. A digit is a symbol used to write a number 0 to 9. A period is a group of three digits separated by a comma. Base–ten Place Value Decimal Place Value Our place value system is based on groups of . Each place represents the value of the place to the right. 1.1 1.2 1.21 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.22 1.24 1.26 1.28 1.23 1.25 1.27 1.29 1.3 1.4 0 1.0 2.0 ___________ + _________ + ________ + ______ + _____ + _____ + ____ + ___ + __ © Copyright NewPath Learning. All Rights Reserved. 93-4401 www.newpathlearning.com Place Value - Understanding Numbers