Place values in whole numbers

Learning Objectives Identify the place value of any digit in a whole number up to the billions period. Determine the value of a digit based on its place in a whole number. Read and write whole numbers in standard form, word form, and expanded form. Compare and order whole numbers using place value understanding. Explain the relationship between the value of a digit and the value of the digit to its immediate left or right. Apply place value concepts to solve real-world problems involving large numbers. Ever wondered how we keep track of huge numbers like the population of a country or the distance to the moon? 🚀 It all starts with understanding place value! In this lesson, you'll discover the power of place value, which helps us read, write, and understand whole numbe...

TermDefinitionExample Whole NumberThe set of non-negative integers (0, 1, 2, 3, ...).0, 15, 200, 1,452 are all whole numbers. DigitAny of the ten symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to form numbers.In the number 5,283, the digits are 5, 2, 8, and 3. Place ValueThe value represented by a digit in a number, which depends on its position.In 452, the digit '4' is in the hundreds place, so its place value is hundreds. PeriodA group of three digits in a large number, separated by commas, such as ones, thousands, millions, billions.In 123,456,789, '123' is the millions period, '456' is the thousands period, and '789' is the ones period. Standard FormWriting a number using only digits, with commas separating periods.7,345,901 is the standard form of...

The Base-10 System Rule Each place value is 10 times greater than the place value to its immediate right, and $\frac{1}{10}$ of the place value to its immediate left. This rule explains how the value of a digit changes as it moves positions. For example, 10 ones make 1 ten, 10 tens make 1 hundred, and so on. Reading Large Numbers Rule Read the digits in each period as if they were a three-digit number, then state the period name (except for the ones period). To read a number like 123,456,789, you read 'one hundred twenty-three MILLION, four hundred fifty-six THOUSAND, seven hundred eighty-nine.' Value of a Digit Rule $\text{Value of Digit} = \text{Digit} \times \text{Place Value}$ To find the actual value a digit represents, multiply the digit itself by the...