Place value
{"left":"Standard form: the usual way we write a number. Example: 348,205\nExpanded form: shows the value of each digit added together.\n348,205 = 300,000 + 40,000 + 8,000 + 200 + 0 + 5\n\n1.Write 507,019 in expanded form.\n\n ","right":"Expanded notation with multiplication (optional):\n348,205 = (3 × 100,000) + (4 × 10,000) + (8 × 1,000) + (2 × 100) + (0 × 10) + (5 × 1)\nExpanded form helps you “see” the place values inside the number\n\n2.Write this expanded form in standard form: 600,000 + 20,000 + 3,000 + 90 + 4 = ____________________________\n\n3.Fill in the blanks: 9,482 = (9 × ____ ) + (4 × ____ ) + (8 × ____ ) + (2 × ____ )"}
Standard and expanded notation
{"left":"Standard form: the usual way we write a number. Example: 348,205\nExpanded form: shows the value of each digit added together.\n348,205 = 300,000 + 40,000 + 8,000 + 200 + 0 + 5\n\n1.Write 507,019 in expanded form. 2.Write this expanded form in standard form:\n\n\n\n\n\n600,000 + 20,000 + 3,000 + 90 + 4 = ____________________________","right":"Expanded notation with multiplication (optional):\n348,205 = (3 × 100,000) + (4 × 10,000) + (8 × 1,000) + (2 × 100) + (0 × 10) + (5 × 1)\nExpanded form helps you “see” the place values inside the number\n\n\n\n"}
Place Value - Understanding Number Positions
Each digit has a special place and value Ones place: single units (1, 2, 3) Tens place: groups of ten (10, 20, 30) Hundreds place: groups of one hundred (100, 200, 300)
Place Value Practice
Look at the number 582 Which digit is in the tens place? What is the value of the 5? Break down this number by place value
Standard and Expanded Notation
Standard form: 456 (the normal way we write numbers) Expanded form: 400 + 50 + 6 Shows the value of each digit clearly Helps us understand what numbers really mean
Quick Quiz: Notation Challenge
Write 673 in expanded form Write 300 + 40 + 7 in standard form Which is bigger: 456 or 400 + 60 + 5?
Ordering Numbers from Smallest to Largest
Compare numbers digit by digit Start with the highest place value Use < (less than) and > (greater than) Example: 234 < 345 < 456
Partitioning Numbers
Breaking numbers into smaller parts Different ways to make the same number Example: 15 = 10 + 5 or 15 = 7 + 8 Helps with mental math strategies
Rearranging and Regrouping Challenge
Using the digits 4, 7, 2 Make the largest possible number Make the smallest possible number How many different 3-digit numbers can you create?
Remember the Key to Whole Numbers
Every digit has a place, every place has a value, and every number tells a story