Expanded form of Algebraic Expression
Algebraic expressions in the expanded form are simplified and any coefficients are assigned to each term included in the bracket. we expressed the original expression into the equivalent of the sum.
For Example: Find Expanded form of 2(x + 4)
Step 1: We have the expression (x + 4) that will be multiplied by 2.
Step 2: Then, distribute the coefficient to each term inside the bracket.
2×x + 2×4
Step 3: After that, simplify it by performing the multiplications.
2x + 8
Step 4: At last, the values can’t be added together because one is coefficient and another is coefficient with variable, So the expression can be expanded by this:
2x + 8
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Expanded Form
Expanded form is a mathematical term, that is used to expand or split a given value. Therefore, in the expanded form, a number is divided into its place values and then expanded to display the value of each digit.
Let’s use the number 8741 as an example. Here, an expanded form helps in our understanding of each digit’s place value. Let’s attempt to determine the extended form of the given number 8741. The expanded version of 8741 is 8000 + 700 + 40 + 1.
In this article, we will learn various concepts related to expanded form, examples of expanded form, and others in detail.
Table of Content
- What is Expanded Form?
- Writing Numbers in Expanded Form
- Expanded Form of Whole Numbers
- Expanded Form of Decimal Numbers
- Expanded form of Algebraic Expression