Adding Numbers in Expanded Form

Learn to arrange for adding numbers in expanded form (in short form and in long form). The numbers are written in column form; the digits are arranged in expanded form and then finally find the sum of the given numbers.

Solved examples on adding numbers in expanded form:

1. Add 32 and 25

Solution:

Numbers are written in column form        T      O

                                                            3       2

                                                       +   2       5

                                                            5       7

Adding ones:  2 ones + 5 ones = 7 ones 

This 7 is written in one’s column.

Adding tens: 3 tens + 2 tens = 5 tens

This 5 is written in tens column.

Thus, answer is 57


2. In other way, add the expanded form of the numbers 32 + 25

Solution:

                32     =  30 + 2       Expanded form of the numbers

            +  25     =  20 + 5

                        =  50 + 7

                        =  57

The numbers are written in expanded form as 32 = 30 + 2 and 25 = 20 + 5.

Now digits of one’s place are added, i.e., 2 + 5 = 7.

Again numbers of ten’s place are added, i.e., 30 + 20 = 50

Therefore, total sum = 50 + 7 = 57


3. Add 63 and 35 in long form.

Solution:

Numbers are placed in column

           63      Sum of digit of one’s place = 3 ones + 5 ones = 8 ones

       +  35     Sum of digit of ten’s place = 6 ten’s + 3 ten’s = 9 ten’s

Therefore, sum =        98      = 9 ten’s + 8 ones


4. Add 38 and 61 in short form.

Solution:            

                               38         Sum of digit of one’s place = 8 + 1 = 9

                          +   61        Sum of digit of ten’s place = 30 + 60 = 90

Therefore, sum =      99                                              = 90 + 9


5. Add 23, 31 and 44

Solution: 

                                23        Sum of digit of one’s place = 3 + 1 + 4 = 8

                             +  31       Sum of digit of ten’s place = 2 + 3 + 4 = 9

                             +  44

Therefore, sum =        98


More solved examples on 3-digits for adding numbers in expanded form.

6. Add 314 and 563

Solution:

First the digits are arranged in columns

Sum of digit of one’s place = 4 + 3 = 7

Sum of digit of ten’s place = 1 + 6 = 7

Sum of digit of hundred’s place = 3 + 5 = 8

                              314

                          +  563

Therefore, sum =     877


7. Add 361 and 527 by arranging the numbers in expanded form.

Solution:

    361 = 3 hundreds + 6 tens + 1 one

+  527 = 5 hundreds + 2 tens + 7 one

 Sum   = 8 hundreds + 8 tens + 8 one

          =888

or,        361 = 300 + 60 + 1

        +  527 = 500 + 20 + 7

       Sum     = 800 + 80 + 8

                  = 888


8. Add 231, 402 and 355

Solution:               

                    231        ones         = 1 + 2 + 5 = 8

                +  402        tens         = 3 + 0 + 5 = 8

                +  355        hundreds  = 2 + 4 + 3 = 9

Therefore, addition sum = 988

You might like these


2nd Grade Math Practice

From Adding Numbers in Expanded Form to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Expanded form of Decimal Fractions |How to Write a Decimal in Expanded

    Jul 22, 24 03:27 PM

    Expanded form of Decimal
    Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is mi…

    Read More

  2. Worksheet on Decimal Numbers | Decimals Number Concepts | Answers

    Jul 22, 24 02:41 PM

    Worksheet on Decimal Numbers
    Practice different types of math questions given in the worksheet on decimal numbers, these math problems will help the students to review decimals number concepts.

    Read More

  3. Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

    Jul 21, 24 02:14 PM

    Decimal place value chart
    Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

    Read More

  4. Thousandths Place in Decimals | Decimal Place Value | Decimal Numbers

    Jul 20, 24 03:45 PM

    Thousandths Place in Decimals
    When we write a decimal number with three places, we are representing the thousandths place. Each part in the given figure represents one-thousandth of the whole. It is written as 1/1000. In the decim…

    Read More

  5. Hundredths Place in Decimals | Decimal Place Value | Decimal Number

    Jul 20, 24 02:30 PM

    Hundredths Place in Decimals
    When we write a decimal number with two places, we are representing the hundredths place. Let us take plane sheet which represents one whole. Now, we divide the sheet into 100 equal parts. Each part r…

    Read More