Writing numbers in expanded form examples

The third digit to the left of the decimal is hundreds, because it represents the number of hundreds included in the number. The second digit to the left is called the tens, because it represents the number of tens included in that number.

Regardless of what approach you choose, all of the worksheets on this page, including the expanded form worksheets, will provide help converting between different forms of numbers and teaching place value.

How to Write Numbers in Expanded Form By Lisa Maloney; Updated April 26, It is tempting to say that the digits in a number are what define its value, but if you write 25 and 52 — using the same digits but in different places — you get two different values.

How to Write a Whole Number in Expanded Form

These are typically the thousands, millions, billions and similar amounts that are separated into groups of three place values either by decimals or, in some countries, by commas.

So for example, consider this number When you have a decimal point, the slot just to the right of the decimal is the tenths slot, the slot to the right of that is the hundredths slot and so on.

Standard, Expanded and Word Form

You can combine the numeral symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to represent every possible quantity. You can even write decimals in expanded form, as long as you understand how those place values work. Do the math to check your work. Concepts About the Author Lisa studied mathematics at the University of Alaska, Anchorage, and spent several years tutoring students at the college and high school levels.

Learn what each numeral to the right of the decimal represents.

How to Write Numbers in Expanded Form

When we write a number in expanded form, each digit is broken out and multiplied by its place value, such that the sum of all of the values equals the original number. This is important not just in writing numbers in word form, but also when writing the numerical description of a dollar amount while writing a check or other legal description of money.

The exponents worksheets in this section provide practice that reinforces the properties of exponents, including the basic procedures for adding exponents, subtracting exponents, dividing exponents and multiplying exponents. Consider the example of Our numeral system uses a base system, with 10 distinct symbols for whole quantities from zero to nine.

Reading the numbers from left to right, you start with the biggest slot, the hundreds place, which has a 3 in it. The first digit to the left of the decimal point in any number, for example, is the ones, because it represents the number of ones included in the number.

You can write that number in expanded form by multiplying each digit by its place value, then adding them together: You can choose to vary the complexity of the work you assign by selecting expanded form worksheets with longer digits or with decimal values, or simply mix these worksheets in as review assignments periodically, especially with students who seem to struggle with basic operations involved multi-digit problems.

The goal of the word form worksheets here is to develop a level of comfort with these period groupings. The number in the ones slot keeps increasing until it hits 9; then the tens value goes up, and the ones value resets to zero.

You now have two digits in the number — the 1 and the 0. The tens place is still the next column to the left. Each digit represents a placeholder, which has a name, allowing you to write it out in expanded form.Name: _____ Writing Numbers in Standard & Expanded Form Expanding Numbers Write each number in expanded form.

examples: 1, = __1, + + 40 + 5. Practice reading and writing numbers written in expanded form. Example: The expanded form of is + 70 + 6. Write out a number's expanded form by writing each digit and explaining its place value in mathematical terms.

For example, the number 3, is, 3 x 1, + 0 x + 4 x 10 + 7 x 1 in its expanded form. In expanded form of a number, the number is shown according to the place values of its digits. This is shown here: Inthe place values of the digits are given below.

Writing the number in expanded form means to write the value of each digit then add them together to find the sum.

For example, the number 1, has the following values: The value of 1 is written as 1, because it's in the thousands place. When we write a number in expanded form, each digit is broken out and multiplied by its place value, such that the sum of all of the values equals the original number.

Writing Numbers in Expanded Form. The easiest way to visualize writing a number in expanded form .

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Writing numbers in expanded form examples
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