There are commonly three was to communicate the value of a number.The standard form is probably the most common way values are written. For example 74,256. We can also write that same number in expanded. Expanded form breaks the number up into the place value of each integer. It comes across as making an addition problem. 74,256 in expanded configuration would be 70,000 + 4,000 + 200 + 50 + 6. The word format is another way to communicate the value of this number. It would be written as seventy-four thousand, two hundred fifty-six. There are different ways of writing numbers in math. Many students get confused between these two forms. Today we are going to help you understand the difference between standard and expanded forms.
What is the difference between standard and expanded form of a number? Starting with the standard version. What is it and why use it? When the numbers are too big or too small, it gets pretty daunting to write them down and the chances of errors are high. It is when we use standard form of writing numbers. It is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000. So 4,000 can be written as 4 × 103. This idea can be used to write even larger numbers down easily in standard notation. Moving on to the expanded form, also known as expanded notation, it is when we write numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places, they can also create a mathematical expression. This5,000 + 300 + 20 + 5 is the expanded form of 5,325. Your introductory students will use these activity sheets to write numbers that are presented in expanded notation in standard notation and word format, based on the place values of the numerals.
