Unit rates

Key notes:

๐Ÿ”น What is a Unit Rate?

๐Ÿ‘‰ A unit rate is a rate where the second quantity is 1.
๐Ÿ“Œ It helps us compare things easily.

๐Ÿงƒ Example:
If โ‚น60 for 3 juices,
โžก๏ธ Unit rate = โ‚น60 รท 3 = โ‚น20 per juice


๐Ÿ”น Why Do We Use Unit Rates? ๐Ÿค”

โœ… To compare prices ๐Ÿ›’
โœ… To find speed ๐Ÿš—
โœ… To check value for money ๐Ÿ’ฐ
โœ… To make quick decisions ๐Ÿ‘


๐Ÿ”น How to Find a Unit Rate ๐Ÿงฎ

1๏ธโƒฃ Write the rate as a fraction
2๏ธโƒฃ Divide the numerator by the denominator
3๏ธโƒฃ Make the denominator 1

โœ๏ธ Example:
120 km in 3 hours
โžก๏ธ 120 รท 3 = 40 km per hour ๐Ÿš˜


๐Ÿ”น Common Unit Rates ๐Ÿ“Š

๐Ÿ“Œ Speed โ†’ km per hour (km/h)
๐Ÿ“Œ Cost โ†’ rupees per item (โ‚น/item)
๐Ÿ“Œ Wages โ†’ rupees per hour (โ‚น/hr)
๐Ÿ“Œ Density โ†’ people per kmยฒ


๐Ÿ”น Comparing Using Unit Rates โš–๏ธ

๐Ÿ‘‰ Find unit rates first, then compare.

๐Ÿ›๏ธ Example:
โ€ข Pack A: โ‚น100 for 4 pens โ†’ โ‚น25 per pen
โ€ข Pack B: โ‚น120 for 6 pens โ†’ โ‚น20 per pen
โœ… Pack B is cheaper! ๐ŸŽ‰


๐Ÿ”น Real-Life Examples ๐ŸŒ

๐Ÿ• Price per slice
๐Ÿš• Fare per kilometer
๐Ÿ“ฑ Data cost per GB
โšก Electricity cost per unit


๐Ÿ”น Important Tips โญ

โœ”๏ธ Always check the units
โœ”๏ธ Divide carefully
โœ”๏ธ Bigger unit rate doesnโ€™t always mean better value
โœ”๏ธ Use unit rates to compare fairly


๐ŸŽฏ Quick Reminder!

๐Ÿ“ข Unit Rate = Total Quantity รท Number of Units

Learn with an example

โšซ Find the unit rate.

15 flats on 3 floors = _____ flats per floor

Divide:

15 รท 3 = 5

5 flats per floor

โšซ Find the unit rate.

15 minutes for 3 songs = ______ minutes per song

Divide:

15 รท 3 = 5

5 minutes per song

โšซ Find the unit rate.

20 orders in 4 days = _____ orders per day

Divide:

20 รท 4 = 5

5 orders per day

let’s practice! ๐Ÿ–Š๏ธ