How to Write a Whole Number in Expanded Form

You can write numbers in either standard or expanded form.
••• Comstock Images/Comstock/Getty Images

Numerals are a way of symbolizing quantities. Writing out a number in its expanded form means that you break down the digits to show what each represents. Our numeral system uses a base-10 system, with 10 distinct symbols for whole quantities from zero to nine. You can combine the numeral symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to represent every possible quantity. Each digit represents a placeholder, which has a name, allowing you to write it out in expanded form.

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

    Learn what each numeral to the right of the decimal represents. The first digit to the right of the decimal point in any number, for example, is the tenths, because it represents the proportion out of 10 equal parts of a whole. The second digit to the right is the hundredths place, because it represents the represents the proportion out of 100 equal parts of a whole. The third digit to the right of the decimal is thousandths because it represents the proportion of of 1000 parts of a whole.

    Write out a number's expanded form by writing each digit and explaining its place value in mathematical terms. For example, the number 3,047 is, 3 x 1,000 + 0 x 100 + 4 x 10 + 7 x 1 in its expanded form.

    Do the math to check your work. In this example, 3 x 1,000 = 3,000; 0 x 100 =0; 4 x 10 = 40; and 7 x 1 = 7. Your expanded format is correct because 3,000+0+40+7=3,047, which is the standard form of the number.

Related Articles

How to Round to the Underlined Place Value Position
How to Convert Repeating Decimals to Percentages
How to Round a Number to the Nearest Tenth
Definition of Successor and Predecessor in Math
How to Break Apart Numbers You Are Subtracting
How to Change Decimals Into Mixed Numbers
How to Write Numbers in Expanded Form
How to Write Math Arrays
The Parts of a Subtraction Sentence
How to Turn a Whole Number Into a Decimal
How to Teach Fractions for Fourth Grade Math
How to Calculate the Percentage of Another Number
How to Change Mixed Numbers Into Whole Numbers
How to Round Numbers to Three Decimal Places
How to Convert Between Base Number Systems
How to Divide Factorials
How to Convert a Decimal to a Whole Number
How to Write "Three Tenths" in Standard Form
How to Read Decimal Place Value
How to Write the Remainder As a Fraction

Dont Go!

We Have More Great Sciencing Articles!