Place values

Learning Objectives Identify the place value of any digit in whole numbers up to billions and decimals up to thousandths. Determine the value of a digit based on its position in a number. Write whole numbers and decimals in standard form, expanded form, and word form. Compare and order numbers using their understanding of place values. Explain the relationship between adjacent place values (multiplying or dividing by 10). Apply place value understanding to round numbers to a specified place. Have you ever wondered why the number '5' in 500 is so much bigger than the '5' in 50? 🤔 It's all about where it sits! In this lesson, we'll dive deep into place values, exploring how the position of a digit gives it its power and value. Understanding plac...

TermDefinitionExample DigitA single symbol used to write numbers. In our base-10 system, the digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.In the number 3,456, the digits are 3, 4, 5, and 6. Place ValueThe value of a digit based on its position in a number. Each position represents a power of 10.In the number 123, the digit '2' is in the tens place, so its place value is 10. Value of a DigitThe actual amount a digit represents, calculated by multiplying the digit by its place value.In the number 123, the digit '2' has a value of $2 imes 10 = 20$. Standard FormThe usual way of writing a number using digits.The number 'one hundred twenty-three and four tenths' written in standard form is 123.4. Expanded FormA way to write a number by showing the sum of the value...

Value of a Digit Rule $ \text{Value of Digit} = \text{Digit} \times \text{Place Value} $ To find the actual amount a digit represents in a number, multiply the digit itself by the value of the place it occupies. For example, in 7,345, the value of the digit 3 is $3 \times 100 = 300$. Place Value Relationship Rule $ \text{Each place to the left} = 10 \times \text{the place to its right} $ \newline $ \text{Each place to the right} = \frac{1}{10} \times \text{the place to its left} $ This rule explains how place values are related. Moving one position to the left multiplies the place value by 10, and moving one position to the right divides it by 10 (or multiplies by 0.1). For example, the hundreds place is $10 imes$ the tens place, and the tenths place is $\frac{1}{10} \times...