Samacheer Kalvi Class 5 Maths Solutions Term 1 Chapter 4 Measurements InText Questions

Try These (Text Book Page No. 65)

Convert into millimeters

 

Question 1. 90 cm
Answer: To convert centimeters to millimeters, we multiply by 10, because 1 cm equals 10 mm. So, 90 cm becomes 90 multiplied by 10, which gives 900 mm. This is a common conversion used in measuring small lengths.
\( 90 \text{ cm} = 90 \times 10 \text{ mm} \)
\( = 900 \text{ mm} \)
In simple words: To change 90 centimeters to millimeters, you multiply 90 by 10. The answer is 900 millimeters.

🎯 Exam Tip: Remember the basic conversion factor: 1 cm = 10 mm. This helps in quickly solving such measurement problems.

 

Question 2. 5 cm 8 mm
Answer: First, convert 5 cm to millimeters by multiplying by 10. Then add the existing 8 mm. This combines both units into a single millimeter measurement.
\( 5 \text{ cm } 8 \text{ mm} = (5 \times 10) \text{ mm} + 8 \text{ mm} \)
\( = 50 \text{ mm} + 8 \text{ mm} \)
\( = 58 \text{ mm} \)
In simple words: Change 5 centimeters to 50 millimeters, then add 8 millimeters. The total is 58 millimeters.

🎯 Exam Tip: When converting mixed units, always convert the larger unit to the smaller unit first, then add the remaining smaller units.

 

Question 3. 5 m 9 mm
Answer: To convert meters to millimeters, we multiply by 1000, since 1 meter equals 1000 millimeters. After converting 5 meters to millimeters, add the 9 mm that is already in millimeters. This process is important when needing a consistent unit for calculation.
\( 5 \text{ m } 9 \text{ mm} = (5 \times 1000) \text{ mm} + 9 \text{ mm} \)
\( = 5000 \text{ mm} + 9 \text{ mm} \)
\( = 5009 \text{ mm} \)
In simple words: Convert 5 meters into 5000 millimeters, then add the 9 millimeters. The total is 5009 millimeters.

🎯 Exam Tip: Remember that 1 meter = 100 cm and 1 cm = 10 mm, so 1 meter = 1000 mm. This longer conversion factor is crucial for accuracy.

Try These (Text Book Page No. 66)

Convert into centimeter

 

Question 1. 8 m
Answer: To convert meters to centimeters, we multiply by 100, because 1 meter equals 100 centimeters. So, 8 meters becomes 8 multiplied by 100, resulting in 800 cm. This helps express larger units in smaller, more specific units.
\( 8 \text{ m} = 8 \times 100 \text{ cm} \)
\( = 800 \text{ cm} \)
In simple words: To change 8 meters to centimeters, you multiply 8 by 100. The answer is 800 centimeters.

🎯 Exam Tip: Always recall the key conversion: 1 meter = 100 cm. This simple fact is the basis for all meter-to-centimeter conversions.

 

Question 2. 6 m 4 cm
Answer: First, convert 6 meters to centimeters by multiplying by 100. Then, add the 4 cm that is already in centimeters. This ensures all units are the same before finding the total measurement.
\( 6 \text{ m } 4 \text{ cm} = (6 \times 100) \text{ cm} + 4 \text{ cm} \)
\( = 600 \text{ cm} + 4 \text{ cm} \)
\( = 604 \text{ cm} \)
In simple words: Change 6 meters to 600 centimeters, then add 4 centimeters. The total is 604 centimeters.

🎯 Exam Tip: Pay attention to the conversion factor (100 for m to cm) and remember to add the existing smaller units correctly.

 

Question 3. 80 mm
Answer: To convert millimeters to centimeters, we divide by 10, because 1 cm equals 10 mm. So, 80 mm divided by 10 gives 8 cm. This is the reverse of converting centimeters to millimeters.
\( 80 \text{ mm} = 80 \div 10 \text{ cm} \)
\( = 8 \text{ cm} \)
In simple words: To change 80 millimeters to centimeters, you divide 80 by 10. The answer is 8 centimeters.

🎯 Exam Tip: When converting from a smaller unit to a larger unit, you always divide. For mm to cm, the divisor is 10.

Try These (Text Book Page No. 66)

Convert into meter

 

Question 1. 8 km 400 m
Answer: First, convert 8 kilometers to meters by multiplying by 1000, since 1 kilometer equals 1000 meters. Then, add the 400 meters. This gives the total length entirely in meters, making calculations easier.
\( 8 \text{ km } 400 \text{ m} = (8 \times 1000) \text{ m} + 400 \text{ m} \)
\( = 8000 \text{ m} + 400 \text{ m} \)
\( = 8400 \text{ m} \)
In simple words: Change 8 kilometers to 8000 meters, then add 400 meters. The total is 8400 meters.

🎯 Exam Tip: Remember the kilometer to meter conversion: 1 km = 1000 m. This is a fundamental fact for distance conversions.

 

Question 2. 900 cm
Answer: To convert centimeters to meters, we divide by 100, as 1 meter is equal to 100 centimeters. So, 900 cm divided by 100 gives 9 m. This helps express measurements in larger, more convenient units.
\( 900 \text{ cm} = 900 \div 100 \text{ m} \)
\( = 9 \text{ m} \)
In simple words: To change 900 centimeters to meters, you divide 900 by 100. The answer is 9 meters.

🎯 Exam Tip: When converting from a smaller unit (cm) to a larger unit (m), always divide by the conversion factor, which is 100 in this case.

 

Question 3. 3500 mm
Answer: To convert millimeters to meters, we divide by 1000. When 3500 mm is divided by 1000, we get 3 meters with 500 mm remaining. This conversion is often done for expressing smaller measurements in a larger standard unit.
\( 3500 \text{ mm} = 3500 \div 1000 \text{ m} \)
\( = 3 \text{ m } 500 \text{ mm} \)
In simple words: To change 3500 millimeters to meters, divide 3500 by 1000. You get 3 meters and 500 millimeters left over.

🎯 Exam Tip: Remember that 1 meter = 1000 mm. When dividing, the quotient gives the whole meters, and the remainder gives the millimeters left.

Try These (Text Book Page No. 67)

Convert into kilometers.

 

Question 1. 5430 m
Answer: To convert meters to kilometers, we divide by 1000, because 1 kilometer equals 1000 meters. Dividing 5430 m by 1000 gives 5 km with 430 m remaining. This way, longer distances are expressed in a more convenient unit.
\( 5430 \text{ m} = 5430 \div 1000 \text{ km} \)
\( = 5 \text{ km } 430 \text{ m} \)
In simple words: To change 5430 meters to kilometers, divide 5430 by 1000. You will get 5 kilometers and 430 meters left over.

🎯 Exam Tip: When converting meters to kilometers, dividing by 1000 means moving the decimal point three places to the left.

 

Question 2. 7500 m
Answer: To convert meters to kilometers, we divide by 1000. When 7500 m is divided by 1000, we get 7 km with 500 m remaining. This conversion helps represent large distances in a clearer and more practical unit.
\( 7500 \text{ m} = 7500 \div 1000 \text{ km} \)
\( = 7 \text{ km } 500 \text{ m} \)
In simple words: To change 7500 meters to kilometers, divide 7500 by 1000. You will get 7 kilometers and 500 meters remaining.

🎯 Exam Tip: Practice long division with remainders to clearly separate the whole kilometers from the remaining meters when converting.

 

Question 3. 8000 m
Answer: To convert meters to kilometers, we divide by 1000. Dividing 8000 m by 1000 gives exactly 8 km with no remainder. This is a straightforward conversion when the meter value is a direct multiple of 1000.
\( 8000 \text{ m} = 8000 \div 1000 \text{ km} \)
\( = 8 \text{ km} \)
In simple words: To change 8000 meters to kilometers, divide 8000 by 1000. The answer is exactly 8 kilometers.

🎯 Exam Tip: Whole number conversions are simpler; always check if the number of meters is a perfect multiple of 1000 for a direct kilometer conversion.

Subtract the following

 

Question 1. 1075 km 400 m – 27 km 350 m
Answer: To subtract these measurements, we subtract the meters first and then the kilometers. We ensure that we are subtracting like units from like units. This organized approach helps prevent errors.
Difference \( = 1075 \text{ km } 400 \text{ m} - 27 \text{ km } 350 \text{ m} \)
\( = 1048 \text{ km } 50 \text{ m} \)

In simple words: Subtract 27 km 350 m from 1075 km 400 m. First, take away the meters (400 - 350 = 50 m). Then, take away the kilometers (1075 - 27 = 1048 km).

🎯 Exam Tip: Always align the units vertically (km under km, m under m) when performing addition or subtraction of mixed measurements to avoid confusion.

 

Question 2. 250 m 25 cm – 127 m 18 cm
Answer: To subtract these measurements, we subtract the centimeters first and then the meters. It is crucial to subtract the smaller unit before moving to the larger unit. This method ensures accuracy in combined unit operations.
Difference \( = 250 \text{ m } 25 \text{ cm} - 127 \text{ m } 18 \text{ cm} \)
\( = 123 \text{ m } 7 \text{ cm} \)

In simple words: Subtract 127 m 18 cm from 250 m 25 cm. First, subtract the centimeters (25 - 18 = 7 cm). Then, subtract the meters (250 - 127 = 123 m).

🎯 Exam Tip: If the centimeters being subtracted are larger than the available centimeters, you must borrow from the meters, remembering that 1 m = 100 cm.

 

Question 3. 27 km 900 m – 18 km 850 m
Answer: To find the difference, we subtract the meters (900 m - 850 m = 50 m) and then the kilometers (27 km - 18 km = 9 km). This straightforward columnar subtraction works well when no borrowing is needed between units. It provides a clear way to measure differences in long distances.
Difference \( = 27 \text{ km } 900 \text{ m} - 18 \text{ km } 850 \text{ m} \)
\( = 9 \text{ km } 50 \text{ m} \)

In simple words: Subtract 18 km 850 m from 27 km 900 m. First, take away the meters (900 - 850 = 50 m). Then, take away the kilometers (27 - 18 = 9 km).

🎯 Exam Tip: Always start subtraction from the smallest unit (e.g., cm or m) and move to the larger unit (e.g., m or km).

Try These (Text Book Page No. 69)

 

Question a. 7 m 20 cm × 6
Answer: First, multiply the centimeters by 6. If the result is 100 cm or more, convert it to meters and centimeters. Then, multiply the meters by 6 and add any meters carried over from the centimeter multiplication. This method ensures all units are correctly combined.
\( 20 \text{ cm} \times 6 = 120 \text{ cm} \)
\( = 1 \text{ m } 20 \text{ cm} \)

\( 7 \text{ m } 20 \text{ cm} \times 6 = 43 \text{ m } 20 \text{ cm} \)
In simple words: Multiply 20 cm by 6 to get 120 cm (which is 1 m 20 cm). Keep 20 cm and carry over 1 m. Then multiply 7 m by 6 to get 42 m, and add the carried 1 m to make 43 m. So the answer is 43 m 20 cm.

🎯 Exam Tip: When multiplying mixed units, always start with the smallest unit. If the product exceeds the next unit's conversion factor (e.g., 100 cm for 1 m), carry over the larger unit part.

 

Question b. 15 m 75 cm × 5
Answer: Multiply the centimeters by 5, converting any excess to meters. Then, multiply the meters by 5 and add any meters carried over. This systematic process ensures correct unit conversions during multiplication, which is vital for accurate measurements.
\( 75 \text{ cm} \times 5 = 375 \text{ cm} \)
\( = 3 \text{ m } 75 \text{ cm} \)

\( 15 \text{ m } 75 \text{ cm} \times 5 = 78 \text{ m } 75 \text{ cm} \)
In simple words: Multiply 75 cm by 5 to get 375 cm (which is 3 m 75 cm). Keep 75 cm and carry over 3 m. Then multiply 15 m by 5 to get 75 m, and add the carried 3 m to make 78 m. So the answer is 78 m 75 cm.

🎯 Exam Tip: Always clearly show the conversion of smaller units (like cm) into larger units (like m) when their product exceeds the conversion threshold.

 

Question c. 15 km 200 m × 4
Answer: Multiply the meters by 4. If the meters exceed 1000, convert to kilometers and meters. Then, multiply the kilometers by 4 and add any carried-over kilometers. This method is effective for multiplying mixed distance units.
\( 200 \text{ m} \times 4 = 800 \text{ m} \)

\( 15 \text{ km } 200 \text{ m} \times 4 = 60 \text{ km } 800 \text{ m} \)
In simple words: Multiply 200 m by 4 to get 800 m. Since 800 m is less than 1000 m (1 km), there are no kilometers to carry over. Then multiply 15 km by 4 to get 60 km. So the answer is 60 km 800 m.

🎯 Exam Tip: When multiplying, if the meters part does not convert to a full kilometer, simply write down the product for the meters and proceed with the kilometers multiplication.

 

Question d. 35 km 500 m × 5
Answer: Multiply the meters by 5, converting any excess into kilometers. Then, multiply the kilometers by 5 and add any carried-over kilometers. This process helps maintain accuracy when dealing with larger units and their subdivisions.
\( 500 \text{ m} \times 5 = 2500 \text{ m} \)
\( = 2 \text{ km } 500 \text{ m} \)

\( 35 \text{ km } 500 \text{ m} \times 5 = 177 \text{ km } 500 \text{ m} \)
In simple words: Multiply 500 m by 5 to get 2500 m (which is 2 km 500 m). Keep 500 m and carry over 2 km. Then multiply 35 km by 5 to get 175 km, and add the carried 2 km to make 177 km. So the answer is 177 km 500 m.

🎯 Exam Tip: Always remember to add any carried-over units from the smaller unit's multiplication to the product of the larger unit.

Try These (Text Book Page No. 70)

 

Question a. 750 m 45 cm ÷ 5
Answer: To divide, first divide the meters by 5. Any remainder from the meters is converted to centimeters and added to the original centimeters. Then, divide the total centimeters by 5. This two-step division ensures all parts of the measurement are correctly processed. The answer is \( 150 \text{ m } 9 \text{ cm} \).
Divide meters: \( 750 \div 5 = 150 \). So, \( 150 \text{ m} \).
Divide centimeters: \( 45 \div 5 = 9 \). So, \( 9 \text{ cm} \).

Therefore, \( 750 \text{ m } 45 \text{ cm} \div 5 = 150 \text{ m } 9 \text{ cm} \)
In simple words: Divide the meters (750) by 5 to get 150 meters. Then divide the centimeters (45) by 5 to get 9 centimeters. Put them together for the final answer.

🎯 Exam Tip: When dividing mixed units, always divide the larger unit first. If there's a remainder, convert it to the smaller unit and add it before dividing the smaller unit.

 

Question b. 49 km 630 m ÷ 7
Answer: Divide the kilometers by 7. Any remainder from the kilometers must be converted to meters and added to the given meters. Then, divide the total meters by 7. This ensures both parts of the measurement are fully divided. The answer is \( 7 \text{ km } 90 \text{ m} \).
Divide kilometers: \( 49 \div 7 = 7 \). So, \( 7 \text{ km} \).
Divide meters: \( 630 \div 7 = 90 \). So, \( 90 \text{ m} \).

Therefore, \( 49 \text{ km } 630 \text{ m} \div 7 = 7 \text{ km } 90 \text{ m} \)
In simple words: Divide the kilometers (49) by 7 to get 7 kilometers. Then divide the meters (630) by 7 to get 90 meters. Combine these for the final answer.

🎯 Exam Tip: When dividing, check for any remainder in the larger unit. If present, convert it to the smaller unit (e.g., km remainder to meters) before dividing the smaller unit.

 

Question c. 770 km 550 m ÷ 11
Answer: Divide the kilometers by 11. Any remainder is converted to meters and added to the existing meters. Then, divide the total meters by 11. This careful division ensures an accurate result for both units. The answer is \( 70 \text{ km } 50 \text{ m} \).
Divide kilometers: \( 770 \div 11 = 70 \). So, \( 70 \text{ km} \).
Divide meters: \( 550 \div 11 = 50 \). So, \( 50 \text{ m} \).

Therefore, \( 770 \text{ km } 550 \text{ m} \div 11 = 70 \text{ km } 50 \text{ m} \)
In simple words: Divide the kilometers (770) by 11 to get 70 kilometers. Then divide the meters (550) by 11 to get 50 meters. Put them together for the answer.

🎯 Exam Tip: For larger divisors like 11, it's helpful to know multiplication tables or perform short division carefully for both units.