Expanded Form and Word Form Calculator

In Maths, the expanded form of an integer is marked as a notation. Expanded form and word form is a way of rewriting the number to individual digit value and create new algebraic expression and again getting the original number. For example, the expanded notation of a number 567 is written as 500+60+7.

Here, you will see that every individual digit is multiplied with their place value like 100's, 10's, and one's and then sum up all the digits to get the original number ie., 567 (for this example).

You can write numbers using the expanded form in various ways. Here we are going to explain all multiple ways to write the number in expanded form from the standard form. First, have a look at the below ways that you can use to convert a number in an expanded form.

1. Expanded Notation Form
2. Expanded Fraction Form
3. Expanded Exponential Form
4. Word Form

In Expanded Notation form, will break out each digit and multiplied by its place value, so that the sum of all of the values equals the original number.

In Expanded Fraction Form, will take the given number as every single digit and multiplies with their digits place values and then form a mathematical expression that results in the same number.

In Expanded Exponential Form, will do the same process but instead of multiplying with place values like 100, 10, 1. You need to use the exponent form of individual place values like 10², 10¹, 10⁰.

A word from is writing the numerical/number as you would say it in words. For example, the number 456 in word form is four thousand five hundred and six.

Below, we have compiled a detailed stepwise explanation for the expanded form and word form notation. So, let's view it more in a closer look by referring to the further section.

Example:

Write the number 3452 in an expanded form and word form?

Solution:

Here the given number is 3452 and now convert it into expanded notation, and other forms too.

Expanded Notation:

The expanded notation for 3452 is shown as a sum of each digit multiplied by its matching place value (ones, tens, hundreds, etc.) ie., 3000+400+50+2.

Expanded Fraction Form:

3 Thousands = 3 x 1000 = 3000

4 Hundreds = 4 x 100 = 400

5 Tens = 5 x 10 = 50

2 Ones = 2 x 1 = 2

Therefore, when we add the all values, we get the number 3452.

Expanded Exponential Form:

3 × 10³ +

4 × 10² +

5 × 10¹ +

2 × 10⁰

Thus, the summation of all values we will get the original number 3452.

Word Form:

Three thousand four hundred and fifty-two is the word form for the number 3452.

Remember to follow these simple steps while using the expanded form and word form calculator and make your calculations even easier and faster. The steps are as follows:

• First, simply type the input value in the filed provided in the calculator.
• Next, click on the Arrow button, or Enter button to get the result.
• At last, it will provide the expanded notation for the required number along with detailed steps in a fraction of seconds.

1. What is Expanded Notation in mathematics?

In mathematics, Expanded Notation is a way of writing the given number place values in digits as a mathematical expression. For instance, the expanded form of 1645 is 1000 + 600 + 40 + 5.

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2. How do you write 795 in expanded form?

First, take the given number and split the individual digit and multiply with digits place value and finally sum up all the values to get the original number. Let's see here: (7 x 100) + (9 x 10) + (5 x 1) = 795.

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3. Can I get solved examples for an expanded exponential form of a number?

Yes, you can avail worked examples for an expanded number exponential form from this page along with an illustrated explanation.

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4. What is the expanded form and word form for Number 967?>

The expanded form for 967 number is 900 + 60 + 7 and the word from for 967 is nine hundred sixty-seven.