Samacheer Kalvi Class 5 Maths Solutions Term 2 Chapter 4 Measurements Exercise 4.1

Question 1. Fill in the blanks.
(i) 7 kg 400 g = _____ g
(ii) 5 g 50 mg = _____ mg
(iii) 9500 mg = _____ g _____ mg
(iv) 15 kg 350 g = _____ g
(v) 6250 g = _____ kg _____ g
Answer:
(i) 7 kg 400 g = 7400 g
(ii) 5 g 50 mg = 5050 mg
(iii) 9500 mg = 9 g 500 mg
(iv) 15 kg 350 g = 15350 g
(v) 6250 g = 6 kg 250 g
In simple words: To convert a larger unit to a smaller unit, you usually multiply. For example, 1 kg is 1000 g, and 1 g is 1000 mg. So, you add the parts together after converting to the smaller unit, or separate the parts for the larger and smaller units.

🎯 Exam Tip: Remember the basic conversion factors: 1 kg = 1000 g and 1 g = 1000 mg. This helps in quickly filling these types of blanks.

 

Question 2. Add the following:
(i) 4 kg 250 g + 3 kg 450 g
(ii) 75 g 430 mg + 750 g
(iii) 97 kg 45 g + 77 kg 450 g + 33 kg 250 g
(iv) 75 kg 400 g + 30 kg 250 g
Answer:
(i) 4 kg 250 g + 3 kg 450 g = 7 kg 700 g

(ii) 75 g 430 mg + 750 g = 825 g 430 mg
(iii) 97 kg 45 g + 77 kg 450 g + 33 kg 250 g = 207 kg 745 g
(iv) 75 kg 400 g + 30 kg 250 g = 105 kg 650 g
In simple words: When you add measurements, line up the same units (like kg with kg and g with g). Add each unit column separately. If a sum in a smaller unit (like grams or milligrams) goes over its conversion limit (like 1000), carry over the extra amount to the next larger unit column.

🎯 Exam Tip: Always align numbers by their units (kg, g, mg) to avoid mistakes. Remember to carry over if the sum in a smaller unit exceeds its conversion value (e.g., 1000g = 1kg).

 

Question 3. Subtract the following:
(i) 40 kg 350 g – 25 kg 200 g
(ii) 35 kg 850 g – 18 kg 500 g
(iii) 985 kg 475 g – 275 kg 325 g
(iv) 700 kg – 300 kg 500 g
Answer:
(i) 40 kg 350 g – 25 kg 200 g = 15 kg 150 g

(ii) 35 kg 850 g – 18 kg 500 g = 17 kg 350 g
(iii) 985 kg 475 g – 275 kg 325 g = 710 kg 150 g
(iv) 700 kg – 300 kg 500 g = 399 kg 500 g
In simple words: When subtracting measurements, always put the larger number on top. If you need to subtract a bigger number from a smaller one in a unit column, borrow from the next larger unit. Remember that 1 kg equals 1000 g when borrowing.

🎯 Exam Tip: Pay close attention when borrowing across units. If you borrow 1 kg, it becomes 1000 g in the grams column. If you borrow 1 g, it becomes 1000 mg.

 

Question 4. Multiply the following:
(i) 4 kg 300 g × 7
(ii) 17 kg 750 g × 8
(iii) 25 kg 550 g × 4
(iv) 72 g 350 mg × 5
Answer:
(i) 4 kg 300 g × 7 = 30 kg 100 g

(ii) 17 kg 750 g × 8 = 142 kg 000 g
(iii) 25 kg 550 g × 4 = 102 kg 200 g
(iv) 72 g 350 mg × 5 = 361 g 750 mg
In simple words: When you multiply measurements, multiply each unit by the given number separately. If the product of the smaller unit (like grams or milligrams) goes over its conversion value (like 1000), convert the extra amount to the larger unit and carry it over to the next column.

🎯 Exam Tip: Always multiply the smaller unit first and carry over any excess to the larger unit before multiplying the larger unit. This ensures accuracy.

 

Question 5. Divide the following:
(i) 99 kg 990 g ÷ 3
(ii) 147 g 630 mg ÷ 7
(iii) 550 kg 220 g ÷ 11
(iv) 484 g 384 mg ÷ 4
Answer:
(i) 99 kg 990 g ÷ 3 = 33 kg 330 g

(ii) 147 g 630 mg ÷ 7 = 21 g 90 mg
(iii) 550 kg 220 g ÷ 11 = 50 kg 20 g
(iv) 484 g 384 mg ÷ 4 = 121 g 96 mg
In simple words: To divide measurements, divide the larger unit first. If there's a remainder, convert it to the smaller unit (e.g., kg to g) and add it to the existing amount in the smaller unit. Then, divide the smaller unit. This way, the division is done step-by-step for each unit.

🎯 Exam Tip: When dividing measurements, always work from the largest unit to the smallest. If there's a remainder in the larger unit, convert it and add it to the next smaller unit before continuing the division.

 

Question 6. What is the total weight of 7 kg 500 g of cashew nut and 3 kg 350 g of pista?
Answer:
Weight of cashew nut = 7 kg 500 g
Weight of pista = 3 kg 350 g
Total weight = 7 kg 500 g + 3 kg 350 g
Total weight = 10 kg 850 g

In simple words: To find the total weight, you need to add the weight of the cashew nuts and the pista. We add the kilograms together and the grams together, then combine them for the final answer.

🎯 Exam Tip: For "total weight" questions, identify the individual weights and then perform addition, making sure to align units correctly.

 

Question 7. Vimal had a sack of cotton seeds weighing 50 kg 350 g. He used 7 kg 300 g cotton seeds to feed his cow. How much cotton seed will be remaining?
Answer:
Total weight of cotton seeds = 50 kg 350 g
Weight of cotton seeds used = 7 kg 300 g
Remaining cotton seeds = 50 kg 350 g - 7 kg 300 g
Remaining cotton seeds = 43 kg 50 g

In simple words: To find out how much is left, we subtract the amount of cotton seeds used from the total amount Vimal had. We subtract kilograms from kilograms and grams from grams.

🎯 Exam Tip: When a problem asks "how much will be remaining," it always indicates a subtraction operation. Set up the larger quantity first.

 

Question 8. A glass bottle can contain 25 g 125 mg of medicine, how much medicine can 7 such bottles contain?
Answer:
Medicine in one bottle = 25 g 125 mg
Medicine in 7 bottles = (25 g 125 mg) \( \times \) 7
Medicine in 7 bottles = 175 g 875 mg

In simple words: To find the total amount of medicine in 7 bottles, we multiply the amount in one bottle by 7. We multiply the milligrams and grams separately and combine the results.

🎯 Exam Tip: For "how much in multiple items" questions, multiplication is usually the operation. Remember to convert and carry over any excess from smaller units to larger units during multiplication.

 

Question 9. 75 kg 750 g of groundnut seed is filled in five bags, how much groundnut seed can a bag contain?
Answer:
Total groundnut seed = 75 kg 750 g
Number of bags = 5
Groundnut seed per bag = 75 kg 750 g \( \div \) 5
Groundnut seed per bag = 15 kg 150 g

In simple words: To find out how much groundnut seed is in one bag when the total is shared among five bags, we need to divide the total by five. We divide the kilograms first, then carry any remainder to the grams and divide the grams.

🎯 Exam Tip: For "per item" or "shared equally" questions, division is the correct operation. Remember to convert any remainder from the larger unit to the smaller unit before continuing the division.