#  >> K-12 >> Elementary School

How to Solve Standard Form Math Problems

You can write numbers in standard form or expanded form. Examples of standard form include "4,821," "9,800,654" or "345." Examples of expanded form include "4,000 + 800 + 20 + 1," "9,000,000 + 800,000 + 600 + 50 + 4" or "300 + 40 + 5."



Some elementary math classes require students to learn how to convert standard form numbers to expanded form. To solve standard form math problems, use place values and the powers of 10 as a guide.

Instructions

    • 1

      Draw a chart listing the numerical place values, from one to a billion. The chart should list the positions "Ones," "Tens," "Hundreds," "Thousands," "Ten Thousands," "Hundred Thousands," "Millions," "Ten Millions," "Hundred Millions," and "Billions," in ascending order.

    • 2

      Write the appropriate powers of 10 underneath each place value. The "Ones" place value is 10 to the zero power (10^0), all the way up to the "Billions" place value, which is 10 to the ninth power (10^9). The power increases with each place value.

    • 3

      Start at the highest place value and write the corresponding integer on a new line. Next to the integer, write the number of zeroes equal to the place value's power of 10. For example, if the highest place value is under the "Thousands" category, the power of 10 for that place value is 3. You'd then write three zeroes after the integer.

    • 4

      Repeat the steps for the next highest place value, up until you reach the "Ones" place. Since the "Ones" place has a power of 0, do not write any zeroes next to the digit.

    • 5

      Put a plus sign in between each set of values to finish converting the standard form problem to expanded form. For example, if the problem was 4,623, the problem, in expanded form, should be read "4,000 + 600 + 20 + 3."

Learnify Hub © www.0685.com All Rights Reserved