Mind Maps

Q) The total of two or more numbers are called their ___?

Q) Add two numbers 98 + 63 =___?

Q) Find the sum 96 + 12 + 3 =___?

Q) Fill in the blanks 1625 + ___ = 7141 + 1625?

Q) Missing addends 400 + ___ = 500?

Q) Add the follwing numbers horizantally for 526 + 738 ?

Q) Find the sum 89 + 55 + 96 =___?

Q) Add mentally 300 + 100 =___?

Q) Write the missing number ___ + 8 = 34?

Q) Adding four digit number 8526 + 6314 ?

Q) 9876 + 1 ?

Q) 5678 + 10 = _________?

Q) Find the sum of 6018 and 100 ?

Q) Find the sum of 12345 and 1000 ?

Q) 700 + _________+ 300 = 1300?

Q) Add 852 + 639 + 741 =___?

Q) Adding of three 4-digit numbers 5263 + 9631 +8524?

Q) Order of addends 4222 to 1515?

Q) Write in expanded form and add 6532 + 9836?

Q) Add the follwing 365 + 727 + 4443 ?

Q) Adding the numbers that ends in zeros for adding 100 of 789 + 500 =___?

Q) chintu had 486 pencils and shyam had 147 pencils more than chintu. How many pencils did shyam have?

Q) Raja had 578 mangoes and his brothet had 245 mangoes. Together how many mangoes did they have?

Q) Add mentally and missing numbers for 856 + 456 =___ and 14 + ___ = 22?

Q) Add numbers for 32 + 67=__ and Find the sum 36 + 13 + 18 = ___ ?

Q) Meenakshi had 2118 envelopes, and she bought 1215 more. How many envelopes does she have now?

Q) Addition of four digit numbers in (without regrouping) Add the thousands 8596 + 5278?

Q) Add of three 4-digit numbers 5862 + 8592 + 5956?

Q) Find value of 6745+9845?

Q) Find value of 3546+5426+1564?

Q) Find value of 9018+5463+9654?

Q) 62873 + 51025 =?

Q) 11456 + ___ = 11466

Q) 1 ones + 9 ones =?

Q) Add ones,tens,hundreds,thousands using expanded form 4213 and 3363?

Q) Neelima,seema, and mandir bought 420,105, and 215 mangoes, respectively. How many mangoes did they buy in all?

Q) A train is carryin 1248 passenegrs. 465 more passengers get into the train. How many passengers are there in the train now?

Q) Add ones,tens,hundreds,thousands using expanded form 7458 and 4845?

Q) Add of three 4-digit numbers 7848 + 4898 + 5978 + 2659?

Q) Write each in columns and add 8589 + 4745 + 8956?

Q) Add the following 5134 + 245 + 56 and 3236 + 432 + 124?

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?

Q) Add 56789 and 49568. Find the estimated sum and also compare with the actual sum?

Q) There are 7895 men,765 women, and 6789 children in a village. Find the total population in a village?

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?

Q) Let us solve (15621 + 79014) + 23 and 15621 + (79014 + 23)?

Q) Add 56178 and 78987. Find the estimated sum and also compare with the actual sum?

• Addition means putting together two or more numbers.The total of two or more numbers is called their sum.

Example1:

Solution:-

Step 1: Put the numbers in the columns correctly.

7 ones + 2 ones= 9 Ones

+ TH H T O
7
2
9

1 ten +3 tens =4 Tens

+ TH H T O
1 7
3 2
4 9

3 hundreds + 4 hundreds = 7 hundreds

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

4 thousands + 2 thousands = 6 thousands

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

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

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:

Step 1: Put the numbers in the columns correctly.

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

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

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

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

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

Example 2: Add 1319, 2654 and 4750.

Step 1: Put the numbers in the columns correctly.

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

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

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

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

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

Let us add 2424 to 1543, and 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.

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
1+5=6,and then writing zeros thereafter.So,100+500=600.

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.
100 added to a number increases the value of the digit in the hundreds place.
Example: 875 +100= 975;441+100=541;etc.
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.

• 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)

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