CBSE Class 5 Mathematics Tenths And Hundredths Worksheet Set 03

I. Write these as decimals

Question a). 15m 35cm = ___________
Answer: 15.35m
Conversion rule: 1m = 100cm, so \(35\text{ cm} = \frac{35}{100}\text{ m} = 0.35\text{ m}\)
\(15\text{ m} + 0.35\text{ m} = 15.35\text{ m}\)
In simple words: Convert centimeters to meters by dividing by 100 and add it to the whole meters.

Exam Tip: Always make sure there are two decimal places when converting centimeters to meters since 1m = 100cm.

Question b). 50m 30cm = ___________
Answer: 50.30m
Conversion rule: 1m = 100cm, so \(30\text{ cm} = \frac{30}{100}\text{ m} = 0.30\text{ m}\)
\(50\text{ m} + 0.30\text{ m} = 50.30\text{ m}\)
In simple words: Write 30 centimeters as 0.30 meters and combine it with 50 meters.

Exam Tip: Retain the trailing zero in the hundredths place to show exact centimetric measurement.

Question c). 80 paise = ___________
Answer: Rs. 0.80
Conversion rule: Rs. 1 = 100 paise, so \(80\text{ paise} = \frac{80}{100}\text{ Rs.} = \text{Rs. } 0.80\)
In simple words: Divide the given paise by 100 to convert into rupees.

Exam Tip: Always include the currency unit (Rs.) when expressing money in decimals.

Question d). 45 ml = ___________
Answer: 0.045 l
Conversion rule: 1l = 1000ml, so \(45\text{ ml} = \frac{45}{1000}\text{ l} = 0.045\text{ l}\)
In simple words: Divide milliliters by 1000 to get liters, which places the value in the thousandths place.

Exam Tip: Be careful with zeros when dividing by 1000; 45 divided by 1000 has two leading decimal zeros: 0.045.

Question e). 5l 750ml = ___________
Answer: 5.750 l
Conversion rule: 1l = 1000ml, so \(750\text{ ml} = \frac{750}{1000}\text{ l} = 0.750\text{ l}\)
\(5\text{ l} + 0.750\text{ l} = 5.750\text{ l}\)
In simple words: Convert milliliters into liters and add to the whole liters.

Exam Tip: 750ml is three-fourths of a liter, represented as 0.750 or 0.75.

Question f). 12kg 500g = ________
Answer: 12.500 kg
Conversion rule: 1kg = 1000g, so \(500\text{ g} = \frac{500}{1000}\text{ kg} = 0.500\text{ kg}\)
\(12\text{ kg} + 0.500\text{ kg} = 12.500\text{ kg}\)
In simple words: 500 grams is half a kilogram, written as 0.500 kg.

Exam Tip: 12.500 kg can also be written simply as 12.5 kg.

II. Solve the following

Question a). 5.245 + 10 + 315
Answer: 330.245
Arrange the numbers aligning their decimal points:
315.000
+ 10.000
+ 5.245
----------
330.245
In simple words: Add the whole numbers together first, then attach the decimal part.

Exam Tip: Convert whole numbers into decimals by adding a decimal point and trailing zeros to prevent alignment errors.

Question b). 32.34 + 0.17 + 7.39
Answer: 39.90
Arrange vertically and add column by column from right to left:
32.34
+ 0.17
+ 7.39
----------
39.90
In simple words: Line up the decimal points and add the numbers normally.

Exam Tip: Always align decimal points vertically before performing addition.

Question c). 348.60 - 78.05
Answer: 270.55
Perform vertical subtraction:
348.60
- 78.05
----------
270.55
In simple words: Subtract the bottom decimal number from the top decimal number after aligning the decimal points.

Question d). 29.3 x 4.2
Answer: 123.06
Multiply ignoring decimals: \(293 \times 42\)
\(293 \times 2 = 586\)
\(293 \times 40 = 11720\)
\(586 + 11720 = 12306\)
Count total decimal places: 1 place from 29.3 and 1 place from 4.2 gives 2 decimal places in total.
Result = 123.06
In simple words: Multiply the numbers as whole numbers, then place the decimal point two digits from the right.

Exam Tip: The number of decimal places in the product is equal to the sum of decimal places in the numbers being multiplied.