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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

( d) 32 m 75 cm and 14 m 25 cm (e) 109 g 379 mg and 55 g 312 mg
( f) 725 mL and 656 mL math Mind Map Creative Thinking

3. The length of one piece of rope is 132 cm. Neha has another piece of ribbon measuring meAsurement
188 cm. She places both the ribbons end-to-end. Find the length of the resultant
piece of ribbon. Place Value Chart of Metric Measures Operations on Metric Measures
4. Atul weighs 48 kg 250 g. Siya weighs 8 kg 125 g less than Atul. Find the weight of Siya. Addition:
Place Value Thousands Hundreds Tens Ones Tenths Hundredths Thousandths
5. There are two buckets full of water. The capacity of one bucket is 18 L 350 mL and Value 1000 100 10 1 1 1 1 m cm mm
10
100
1000
that of the other is 16 L 755 mL. How much water is there in both the buckets? Prefix Kilo... Hecto... Deca... Standard Deci... Cen�... Milli... 24 24 8
unit + 7 12 5
SPEED, DISTAnCE AnD TIME Enrichment Length km hm dam m dm cm mm 31 37 3
Weight
mg
cg
dag
g
dg
kg
hg
Capacity kL hL daL L dL cL mL
Speed tells us how fast an object or a person moves. 24 m 24 cm 8 mm + 7 m 12 cm 5 mm
It is the rate of covering a distance in one unit of time. A speed of 50 km per hour means Conversion of Metric Measures = 31 m 37 cm 3 mm
that a distance of 50 km is covered in one hour. For converting greater units into smaller units, multiply by 10 for Subtraction:
Similarly, if a man walks 4 km in 1 hour, his walking speed is 4 km per hour. every step as we move towards the right. kg hg dag g
Speed is calculated by dividing the distance travelled by the total time taken to travel that × 10 × 10 × 10 × 10 × 10 × 10 9 0 2 3
distance. Thus, Speed = Distance ÷ Time. Kilo Hecto Deca Standard Deci Centi Milli – 3 3 4 5
6
5
8
7
unit
We can get the following relationships from the above formula: ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 9 kg 2 dag 3 g – 3 kg 3 hg 4 dag 5 g
Distance = Speed × Time and Time = Distance For converting smaller units to greater units, divide by 10 for = 5 kg 6 hg 7 dag 8 g
every step as we move towards the left.
Speed
Units of Speed
The unit of speed will depend upon the unit of distance and the unit of time. Conversion of Measuring Units Using a Double Number Line
If the distance covered is in metres and time taken is in seconds, then the unit of speed 100 cm × 3 300 cm 700 cm 900 cm 1300 cm
will be expressed in metres per second or m/s. It is the standard unit of speed. × 100
If the distance covered is in kilometres and time taken is in hours, then the speed will be
expressed in kilometres per hour or simply km/h. Using the relationship between speed, 1 m × 3 3 m 7 m 9 m 13 m
distance and time, we can calculate any one if the other two are given.

Example: Neha travelled a distance of 440 km by car in 10 hours. Find the speed of the car.
Solution: Distance travelled by car = 440 km Mental Maths Logical Thinking
Time taken by car to travel 440 km = 10 hours
Speed = Distance ÷ Time = (440 ÷ 10) km/h = 44 km/h Fill in the blanks.
Thus, the speed of the car is 44 km per hour or 44 km/h. 1. 17 cm + 20 mm = _________ mm

2. 12 km – 600 m = _________ km _________ m
Think Tank Critical Thinking
3. 10 kg + 5 g = _________ g
1. A man travelled a distance of 260 km by car in 4 hours. What is the speed of the car?
2. A train runs at the speed of 85 km per hour. How much distance does it cover in 3 4. 7400 g – 600 g = _________ kg _________ g
hours?
5. 12 L – 70 mL = _________ mL
6. 4L – 700 mL = _________ L _________ mL
Knowledge Desk

Galileo was the first scientist to measure speed as a function of distance over time.

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