Samacheer Kalvi Class 4 Maths Solutions Term 1 Chapter 2 Numbers Exercise 2.6

 

Question 1. Fill in the boxes.
(i) \( 4634 + \underline{\hspace{1cm}} = 4634 \)
(ii) \( 2134 + \underline{\hspace{1cm}} = 2135 \)
(iii) \( 5439 + 0 = \underline{\hspace{1cm}} \)
(iv) \( 1435 + 1923 + \underline{\hspace{1cm}} = 1923 + \underline{\hspace{1cm}} \)
(v) \( 3457 + \underline{\hspace{1cm}} = 3458 \)
Answer:
(i) \( 4634 + 0 = 4634 \)
(ii) \( 2134 + 1 = 2135 \)
(iii) \( 5439 + 0 = 5439 \)
(iv) \( 1435 + 1923 + 1435 = 1923 + 1435 \)
(v) \( 3457 + 1 = 3458 \) If you add zero to any number, the number stays the same. Adding one gives you the next number.
In simple words: When you add zero, the number does not change. When you add one, you get the very next number. The order of adding numbers does not change the final sum.

🎯 Exam Tip: Remember the identity property of addition (adding zero) and the commutative property (order doesn't matter) when filling these types of blanks.

 

Question 2. Add.
Answer:

We add the numbers column by column, starting from the ones place. For example, 4 + 4 gives 8 in the ones place, and 5 + 2 gives 7 in the tens place.
In simple words: We add numbers by lining them up under thousands, hundreds, tens, and ones. Then we add each column starting from the right.

🎯 Exam Tip: Always align the digits correctly according to their place value (ones, tens, hundreds, thousands) before starting any addition, especially when there are different numbers of digits.

 

Question 2. (Continued) Add.
Answer:

We perform vertical addition, starting with the ones column and moving left. If the sum in a column is 10 or more, we carry over to the next column.
In simple words: Add each column, starting from the right. If the sum is more than nine, carry the extra digit to the next column on the left.

🎯 Exam Tip: Always double-check your carrying over, as this is a common source of errors in multi-digit addition problems.

 

Question 3. Add.
Answer:

We add the numbers vertically from right to left, carrying over when needed. For instance, in the ones column, 2 + 7 equals 9, and in the tens column, 6 + 3 equals 9.
In simple words: Add the numbers in each column, starting from the ones place. Move left, adding tens, then hundreds, then thousands.

🎯 Exam Tip: Writing down the carry-over digits above the next column can help prevent mistakes, especially with multiple carries.

 

Question 4. Add.
Answer:

We add the numbers column by column from right to left. For instance, in the ones place, 3 + 2 makes 5, and in the tens place, 3 + 5 makes 8. This is a straightforward addition problem without any carrying over.
In simple words: Line up numbers by their place value and add each column from right to left to find the sum.

🎯 Exam Tip: Always re-check your addition for each column, especially when sums are less than 10, as errors can still occur even without carrying.

 

Question 3. Add: \( 2713 + 104 + 1172 + 6010 \)
Answer:
\( 2713 + 104 + 1172 + 6010 = 9999 \)

To add multiple numbers, we line them up by their place values and add each column, carrying over when the sum is 10 or more. This helps to accurately combine all the numbers.
In simple words: When you have many numbers to add, stack them up straight by ones, tens, hundreds, and thousands. Then add each column, starting from the right.

🎯 Exam Tip: When adding more than two numbers, be extra careful with carrying over, especially if sums in intermediate columns are large.

 

Question 4. A man visited a furniture shop. He bought a bed for Rs. 2100, a dining table for Rs. 3500, and six chairs for Rs. 4200. How much money did he pay to the shopkeeper?
Answer:
Cost of bed = Rs. 2100
Cost of dining table = Rs. 3500
Cost of six chairs = Rs. 4200
Total amount paid = Rs. \( 2100 + 3500 + 4200 \)
Total amount paid = Rs. 9800

To find the total money paid, we add up the cost of all the items purchased. This helps us calculate the final bill.
In simple words: Add the prices of the bed, dining table, and chairs together to get the total amount the man paid.

🎯 Exam Tip: In word problems, always identify the key numbers and the operation (addition, subtraction, multiplication, division) required to solve the question.

 

Question 5. Create word problem for the addition facts given below.
(a) \( 3094 + 7923 = 11,017 \)
(b) \( 8309 = 2309 + \underline{\hspace{1cm}} \)
Answer:
(a) Geetha has 3094 tomatoes, and Sandy has 7923 tomatoes. How many tomatoes do they have in total? This problem requires adding their individual counts.
(b) Vipin started with 2309 stamps. If he added 6000 more stamps, what would be the total number of stamps he has now? The sum would be \( 2309 + 6000 = 8309 \).
In simple words: For (a), we create a story about two people having items, and we need to find the total. For (b), we imagine someone having some items and then getting more, and we need to find the new total.

🎯 Exam Tip: When creating word problems, use clear language, relatable scenarios, and ensure the numbers from the equation are clearly incorporated.

 

Question 6. Create addition stories using the pictures and numbers given below.
(a) [Image of two bags, one with Rs. 7820 label, one with Rs. 854 label]
(b) [Table of Child birth between 2017 and 2018]
Answer:
(a) What is the total price of the two bags? (One bag costs Rs. 7820 and the other costs Rs. 854).
(b) From the table of child births between 2017 and 2018:
(i) How many children were born in Urban areas across all districts shown? (We would add all 'Urban' numbers).
(ii) How many children were born in Rural areas across all districts shown? (We would add all 'Rural' numbers).
In simple words: For the bags, the question asks for the combined cost. For the child birth table, we need to ask how many children were born in cities (urban) and how many in villages (rural).

🎯 Exam Tip: When creating addition stories from visual data, make sure your questions clearly lead to an addition operation using the given numbers or categories.

 

Question 7. Fill in the circles using 1400, 1500, 1600, 1700, 1800 and 1900 so that the three numbers along each line add up to 5000.
Answer:
The numbers should be placed as follows to make each line sum to 5000:
At the top circle: 1900
Left side (top-middle): 1600
Right side (top-middle): 1400
Left side (bottom-middle): 1500
Right side (bottom-middle): 1700
At the bottom circle: 1800
For example, one line would be \( 1900 + 1600 + 1500 = 5000 \). Another line would be \( 1900 + 1400 + 1700 = 5000 \). The central number, 5000, is the target sum for each line.
In simple words: Arrange the given numbers in the circles like a triangle. Each side of the triangle, with three numbers, must add up to 5000. The number 1900 goes at the top, and then other numbers are placed around to make the sums work out.

🎯 Exam Tip: For number puzzles, try placing the largest or smallest numbers strategically first, and then adjust the remaining numbers to meet the target sum for each line.

 

Question 8. Fill in the box with a number.
[Diagram showing 2051 splitting into two branches, one ending in 1732, the other in a blank box, and then 1732 splitting into two branches, one ending in a blank box and the other in 319.]
Answer:
The diagram represents a subtraction problem. To find the missing number, we subtract the known part from the total.
From 2051, if one part is 1732, the other part is \( 2051 - 1732 = 319 \). So the first blank box should be 319.
From 1732, if one part is 319, the other part is \( 1732 - 319 = 1413 \). So the second blank box should be 1413.
The diagram should be completed as:
Top number: 2051
Branches from 2051: 1732 and 319
Branches from 1732: 1413 and 319
In simple words: If a number breaks into two smaller parts, and you know one part, you can find the other by subtracting the known part from the main number. We do this for 2051 and then for 1732.

🎯 Exam Tip: When solving diagrams that split numbers, remember that the sum of the branches must equal the number from which they originated.