# Grade 5 -Place Values and Number Sense

Standard – Expanded Forms

View it Place value

View it Relationship between place values

View it Compare Numbers

View it Place value and number sense are important concepts in mathematics that are typically introduced in early elementary school and continue to be developed through middle and high school. Here’s a more detailed explanation of each concept:What is Place Value:Place value is the value of a digit based on its position within a number. In our base-ten number system, each place value is ten times the value of the place to its right. For example, in the number 245, the digit 5 is in the ones place, the digit 4 is in the tens place, and the digit 2 is in the hundreds place. Therefore, the value of 5 is 5 ones, the value of 4 is 4 tens (or 40), and the value of 2 is 2 hundreds (or 200).As students progress through elementary school, they learn to identify and write numbers up to thousands, millions, and beyond, as well as understand the relationship between digits and place value. This helps them to add, subtract, multiply, and divide multi-digit numbers, including decimals and fractions, with greater accuracy and efficiency.Number Sense:
Number sense is the ability to understand and work with numbers, including their relationships and properties. It involves being able to compare, order, and manipulate numbers, as well as understand concepts like place value, addition, subtraction, multiplication, and division. Number sense is an important foundational skill in mathematics and is necessary for success in more advanced topics like algebra and calculus.In elementary school, students develop their number sense by learning to count, add, and subtract, as well as identify and compare numbers. They also begin to explore the properties of numbers, such as even and odd, prime and composite, and factors and multiples. As they progress through middle and high school, students continue to develop their number sense by working with more complex mathematical concepts, such as fractions, decimals, and percentages.