Addition

 Mind Maps

Class III - Maths: Addition
One Word Answer Questions:
Q) What is addition means?
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Q) The total of two or more numbers are called their ___?
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Q) Add two numbers 98 + 63 =___?
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Q) Find the sum 96 + 12 + 3 =___?
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Q) Fill in the blanks 1625 + ___ = 7141 + 1625?
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Q) Missing addends 400 + ___ = 500?
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Q) Add the follwing numbers horizantally for 526 + 738 ?
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Q) Find the sum 89 + 55 + 96 =___?
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Q) Add mentally 300 + 100 =___?
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Q) Write the missing number ___ + 8 = 34?
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Q) Adding four digit number 8526 + 6314 ?
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Q) Add 7648 and 5321?
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Q) 9876 + 1 ?
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Q) 5678 + 10 = _________?
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Q) Find the sum of 6018 and 100 ?
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Q) Find the sum of 12345 and 1000 ?
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Q) 700 + _________+ 300 = 1300?
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Short Answer Questions:
Q) Add 852 + 639 + 741 =___?
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Q) Adding of three 4-digit numbers 5263 + 9631 +8524?
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Q) Order of addends 4222 to 1515?
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Q) Write in expanded form and add 6532 + 9836?
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Q) Add the follwing 365 + 727 + 4443 ?
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Q) Order of addends Add 8526,462, and 123?
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Q) Adding the numbers that ends in zeros for adding 100 of 789 + 500 =___?
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Q) chintu had 486 pencils and shyam had 147 pencils more than chintu. How many pencils did shyam have?
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Q) Raja had 578 mangoes and his brothet had 245 mangoes. Together how many mangoes did they have?
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Q) Add mentally and missing numbers for 856 + 456 =___ and 14 + ___ = 22?
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Q) Add numbers for 32 + 67=__ and Find the sum 36 + 13 + 18 = ___ ?
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Q) Meenakshi had 2118 envelopes, and she bought 1215 more. How many envelopes does she have now?
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Q) Addition of four digit numbers in (without regrouping) Add the thousands 8596 + 5278?
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Q) Add of 4-digits numbers with regrouping Add 8596 and 4132?
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Q) Add of three 4-digit numbers 5862 + 8592 + 5956?
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Q) Find value of 6745+9845?
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Q) Find value of 3546+5426+1564?
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Q) Find value of 9018+5463+9654?
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Q) 62873 + 51025 =?
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Q) 11456 + ___ = 11466
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Q) 1 ones + 9 ones =?
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Long Answer Questions:
Q) Add ones,tens,hundreds,thousands using expanded form 4213 and 3363?
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Q) Neelima,seema, and mandir bought 420,105, and 215 mangoes, respectively. How many mangoes did they buy in all?
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Q) A train is carryin 1248 passenegrs. 465 more passengers get into the train. How many passengers are there in the train now?
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Q) Add ones,tens,hundreds,thousands using expanded form 7458 and 4845?
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Q) Add of three 4-digit numbers 7848 + 4898 + 5978 + 2659?
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Q) Write each in columns and add 8589 + 4745 + 8956?
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Q) Add the following 5134 + 245 + 56 and 3236 + 432 + 124?
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Q) A library has 54234 books on Mathematics,21264 books on Science,and8759 books on G.K.Find the total number of books in these three subjects?
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Q) Add 56789 and 49568. Find the estimated sum and also compare with the actual sum?
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Q) There are 7895 men,765 women, and 6789 children in a village. Find the total population in a village?
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Q) Sai school has 60978 students.Saroj's school,which is 112 km away,has 12345 students.How many students are there in both the schools altogether?
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Q) Let us solve (15621 + 79014) + 23 and 15621 + (79014 + 23)?
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Q) Add 56178 and 78987. Find the estimated sum and also compare with the actual sum?
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Addition
• Addition means putting together two or more numbers.The total of two or more numbers is called their sum.
Addition of 4-digit numbers

Example1:
Add 4317 and 2432.

Solution:-

Step 1: Put the numbers in the columns correctly.

Step 2: Add the ones.
7 ones + 2 ones= 9 Ones

+ TH H T O
7
2
9

Step 3: Add the tens.
1 ten +3 tens =4 Tens

+ TH H T O
1 7
3 2
4 9

Step 4: Add the hundreds.
3 hundreds + 4 hundreds = 7 hundreds

+ TH H T O
3 1 7
4 3 2
7 4 9

Step 5: Add the thousands.
4 thousands + 2 thousands = 6 thousands

+ TH H T O
4 3 1 7
2 4 3 2
6 7 4 9

Answer:
+ TH H T O
4 3 1 7
2 4 3 2
6 7 4 9
Answer=6749

Regrouping

### Regrouping

• When we add two numbers, such as 8 ones and 6 ones, we need to regroup the numbers to make addition easier. We can take 1 one from the 5 ones, and add it to 9 ones to make a ten.
• So, 8 ones + 6 ones = 8 ones + 2 one + 4 ones= 10 ones + 4 ones =1 ten and 4 ones. Similarly, we can regroup tens, hundreds, and thousands.
Addition Of 4-Digit Numbers With Regrouping

Example:
Add 4378 and 2432.

Step 1: Put the numbers in the columns correctly.

Step 2: Add the ones.
8 ones + 2 ones= 10 ones= 1 ten. Write 0 in the ones column and take 1 ten to the tens column.

+ TH H T O
1 8
2
0

Step 3: Add the tens.
7 tens +3 tens+1 ten (carried over)
=11tens = 1 hundred and 1tens
Write 1 in the tens column and take 1 hundred to the hundreds column.

+ TH H T O
1 71 8
3 2
1 0

Step 4: Add the hundreds.
3 hundreds +4 hundreds + 1 hundred ( carried over) = 8 hundreds.
Write 8 in the hundred column.

+ TH H T O
31 71 8
4 3 2
8 1 0

Step 5: Add the thousands.
4thousands + 2 thousands = 6 thousands. Write 6 in the thousands column.

+ TH H T O
4 31 71 8
2 4 3 2
6 8 1 0

Answer:
+ TH H T O
4 31 71 8
2 4 3 2
6 8 1 0

Answer : 6810.

Addition Of Three 4-Digit Numbers

Example 2: Add 1319, 2654 and 4750.

Step 1: Put the numbers in the columns correctly.

Step 2: Add the ones.
9 ones + 4 ones+ 0 ones=13 ones =1 ten and 3 ones .
write 3 in the ones column, and take 1 ten to the tens column.

+ TH H T O
1 9
4
0
3

Step 3:Add the tens
1 tens+5tens+5 tens+1 tens(carried over)=12 tens=2 tens and 1 hundreds
write 2 in the tens column,and take 1 hundred to hundreds column.

+ TH H T O
1 11 9
5 4
5 0
2 3

Step 4: Add the hundreds.
3 hundreds + 6 hundreds +7hundreds+ 1 hundred ( carried over)=17 hundreds=1 thousand and 7 hundreds.
Write 0 in the hundreds column and take 1 thousand to the thousands column.

+ TH H T O
1 31 11 9
6 5 4
7 5 0
7 2 3

Step 5: Add the thousands.
1 thousand + 2 thousands +4 thousands+ 1 thousand (carried over)=7 thousands write 7 in the thousands column.

+ TH H T O
11 31 11 9
2 6 5 4
4 7 5 0
8 7 2 3

Answer:
+ TH H T O
11 31 11 9
2 6 5 4
4 7 5 0
8 7 2 3
Answer:8723.
Order Of Addends

Let us add 2424 to 1543, and 1543 to 2424.

Add 2424 to 1543                           Add 1543 to 2424

+ TH H T O
2 4 2 4
1 5 4 3
3 9 6 7
+ TH H T O
1 5 4 3
2 4 2 4
3 9 6 7

We see that in both cases, we get the same answer. So, the order of the addends does not change the sum.

Easy to ADD

1. Adding zero
Zero added to a number is equal to the number itself.
Examples:
9+0=9
625+0=625
2. Adding numbers that end in zeros
Example: Add 100 and 500.
1+5=6,and then writing zeros thereafter.So,100+500=600.

3. Adding 10
10 added to a number increases the value of the digit in the tens place by 1.
Example: 77 +10=87; 457 +10=467, etc.
4. Adding 100
100 added to a number increases the value of the digit in the hundreds place.
Example: 875 +100= 975;441+100=541;etc.
5. Adding 1000
1000 added to a number increases the value of the digit in the thousands place.
Example: 6319+1000=7319;7412+1000=8412;etc.
Estimating the Sum

Estimating the Sum

Estimation is a rough idea which you make without doing the actual calculations.
Suppose you are asked to estimate or guess the answer of 152 +434. Will it be less than 500 or more than 500?

You know that 100+400=500.

As 152>100 and 434>400, the sum of 152+434 will be more than the sum of 100+400. So, you can estimate that it will be more than 500.

+ H T O
1 5 2
4 3 4
5 8 6

Now,when we add, we get 586 as the answer, which is more than 500.

### Missing Addends

• Observe the following: 300 +____=500
Since one addend and the sum, both ends in two zeros, the missing addend will also end in two zeros.
You know that 3+2=5. So, 300 +200=500.

• Similarly, the missing addend in 5000+_____=7000 will be 2000 as 5000+2000=7000. (5+2=7)

### Learning To Add Horizontally

Step 1: Add the ones. 3 ones + 4 ones= 7 ones.
Step 2: Add the tens. 2 tens +4 tens =6 tens.
Step 3: Add the hundreds.
2 hundreds +5 hundreds= 7 hundreds.

H T 0
2 2 3
+
H T 0
5 4 4
=
H T 0
7 6 7

### Word Problems

When we solve word problems, we work with English and Mathematics together.
Problems can be solved by using these steps.

Step 1: Read the problem carefully to understand, what is to be found.
Step 2: Note down the information given in the problems.
Step 3: Think and decide what needs to be done.
Step 4: Do the sum.
Step 5:Think about the answer. Does it seem to be the right one?

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