Using Addition And Subtraction

 Mind Maps

Class III - Maths: Using Addition and Subtraction
One Word Answer Questions:
Q) Add the 547 + 878?
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Q) Add the 675 + 987 ?
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Q) Subtract the 565 - 435?
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Q) Subtract the 13 ones - 3 ones?
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Q) Add the 5 tens -8 tens?
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Short Answer Questions:
Q) There are 209 beads on string . If beads broke , how many beads were left on the string?
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Q) In train there are 435 passengers, 400 passengers got down in station. How many passengers are left in the train?
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Q) A shopkeeper had 342 packets of chips . Out of these packets he sold 435 How many packets were left?
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Q) A balloon seller had 435 balloons. He sold 342 ballons . How many ballons were left with him?
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Q) A kite seller had pencils and geethika had 435 pencils . How many kites did he have in all?
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Long Answer Questions:
Q) Shiva bought 343 apples from the market. She had to throw away 129 apples as they were rotten. How amny apples were left with her?
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Q) Mohan had 265 stamps , raja had 435 stamps , and radha had 364 stamps . How amny stamps were there in all?
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Q) Manoj seored 235 and 287 runs in 3 matches how many runs did he score in all?
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Q) In pond there are 412 goldfish and 173 blackfish.How many more goldfish are there in the pond?
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Q) There are 145 oranges, 245 apples , and 123 bananas . How many fruits are there in all?
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Addition

### Definition:

" Combining two or more whole numbers to get a total quantity is called addition. "
It is denote by the symbol '+'.

#### Adding Two Digit And Three Digit Numbers

Let us consider few examples to add two digit and three digit numbers:
Example 1: Add 313 and 56.
Solution: First we write the given numbers in the correct columns of hundreds, tens and ones.

• Add the ones first. 3 ones + 6 ones = 9 ones, Write 9 in the ones column.
• Then add the tens.
1 ten + 5 tens = 6 tens
Write 6 in the tens column.
• Now, add the hundreds.
3 hundreds + 0 hundred = 3 hundreds
Write 3 in the hundreds column. Example 2: Add 38 + 437 + 25
Solution:

• Add the ones.
8 ones + 7 ones + 5 ones = 20 ones
Write 0 in the ones column and take 2 to the tens column.
• Add the tens.
3 tens + 3 tens + 2 tens + 2 tens (carried over) = 10 tens
Write 0 in the tens column and take 1 to the hundreds column.
• Add the hundreds.
0 hundred + 4 hundreds + 0 hundred + 1 hundred (carried over)
= 5 hundreds.
Write 5 in the hundreds column.
• Example 3: Add 676 + 237
Solution:

• Add the ones
6 ones + 7 ones = 13 ones = 1 ten + 3 ones
Write 3 in the ones column and take 1 ten to the tens column
• Add the tens
7 tens + 3 tens + 1 ten (carried over) = 11 tens = 10 tens + 1 ten
= 1 hundred + 1 ten
Write 1 ten in the tens column and take 1 hundred to the hundreds column
• Add the hundreds
6 hundreds + 2 hundreds + 1 hundred (carried over) = 9 hundred.
Write 9 in the hundreds column. Subtraction

### Definition:

" The process of finding the difference between two whole numbers is called subtraction. "
It is denoted by the symbol '-'.

#### Subtraction Of Numbers Beyond 100

Example 1: Solve 456 - 312.
Solution: First we put the numbers in the correct column before we subtract.

• First subtract the ones.
6 ones - 2 ones = 4 ones
Write 4 in the ones column.
• Then subtract the tens.
5 tens - 1 ten = 4 tens.
Write 4 in the tens column.
• Now, subtract the hundreds.
4 hundreds - 3 hundreds = 1 hundred
Write 1 in the hundreds column. #### Subtraction With Regrouping

Let us consider few examples of subtraction with regrouping:
Example 1: Solve 143 - 34
Solution:

• First we subtract the ones.
3 ones is less than 4 ones, we cannot subtract 4 ones from 3 ones, so we regroup 43 = 4 tens + 3 ones as 3 tens + 13 ones.
Subtract 4 ones from 13 ones to get 9 ones.
• Now, subtract the tens.
3 tens -3 tens = 0 ten
• Now, subtract the hundreds
1 hundred - 0 hundred = 1 hundred. Example 2: Solve 341 - 314.
Solution:

• As we cannot subtract, 4 ones from 1 one, we regroup
41 = 4 tens + 1 one = 3 tens + 11 ones.
11 ones - 4 ones = 7 ones.
• Now, subtract the tens.
3 tens - 1 ten = 2 tens.
• Now, subtract the hundreds
3 hundreds - 3 hundreds = 0 hundred.
• #### Think And Subtract

Always subtract the smaller number from the greater number.
Example: Compare the numbers 467 and 842. Subtract the smaller number from the greater number.
Solution: In the numbers 467 and 842, 842 > 467 or,

• 467 is smaller than 842.
• So subtract 467 from 842. Subtraction And Addition

#### Checking Subtraction By Addition

Example: Solve 243 - 162. Also check the answer.
Solution:

• Subtract the ones first.
3 ones - 2 ones = 1 one.
• Then subtract the tens by regrouping.
14 tens - 6 tens = 8 tens.
• At last subtract the hundreds.
1 hundred - 1 hundred = 0 hundred By using the following method, we can check whether the answer is correct or not?
Add the difference of 243 and 162 which is 81, to the number subtracted.

• Add the ones first
2 ones + 1 one = 3 ones
• Add the tens,
6 tens + 8 tens = 14 tens
Write 4 in the tens column and take 1 to the hundreds column.
• Add the hundreds,
1 hundreds + 0hundred + 1 hundred (carried over) = 2 hundreds.
• So, our subtraction is done correctly as the sum is equal to the greater number of subtraction.

Subtraction And Addition Facts

Example 1: Add 57 and 88.
Solution:

• Add the ones first
7 ones + 8 ones = 15 ones
15 ones = 1 tens + 5 ones
• Add the tens.
5 tens + 8 tens + 1 ten (carried over) = 14
14 tens = 1 hundred + 4 tens
• • To check the answer we subtract each of the numbers added one by one, i.e., 57 and 88 from the answer.
• Subtract 57 from 145.
• Subtract the ones by regrouping to get 8 in the ones column.
• Subtract the tens by regrouping to get 8 in the tens column. 88 is the other addend

• Now, subtract 88 from 145.
• In the same way as before, subtract the ones by regrouping to get 7 in the ones column.
• Subtract tens by regrouping to get 5 in the tens column.
• 57 is the other addend

" When we subtract an addend from the sum of two addends, we get the other addend."

Example: Add 112 and 43. From the sum subtract the addends one by one. Taking the total sum, we subtract one addend from it. Taking the total sum, we subtract second addend from it. Similarly,
If 172 + 13 = 185, then 185 - 172 = 13 and 185 - 13 = 172.
If 197 + 28 = 225, then 225 - 197 = 28 and 225 - 28 = 197.

Word Problems

Example 1: Abdul has 349 balloons, Zaker has 232 balloons, and Hamed has 128 balloons.
How many balloons are there with three of them?

Solution:

• Balloons Abdul has =349
• Balloons Zaker has =232
• Balloons Hamed has =128
• Total number of balloons =709.
• Example 2: There are 149 students in a class, if 72 students are present, how many students are absent.
Solution:
• Total number of students =149
• Number of students present =72
• Number of students absent =77.
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