Math Problem Statement
Identify whether each of the given quantities is a rate or not, and convert to unit rate if applicable.
Solution
Let's go through the items on the worksheet and check whether each one represents a rate, and if so, convert it to a unit rate:
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5 humans to 10 hands
- Not a rate (N)
This is a simple ratio, not a rate involving two different units. Humans and hands are directly related in a fixed ratio.
- Not a rate (N)
-
P300 per 2 hours of work
- Rate (R)
The unit rate is per hour.
- Rate (R)
-
P300 to 2 kg of rambutan
- Rate (R)
The unit rate is per kilogram.
- Rate (R)
-
20 meters in 5 seconds
- Rate (R)
The unit rate is .
- Rate (R)
-
24 miles in every 8 hours
- Rate (R)
The unit rate is .
- Rate (R)
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P30,000.00 in 3 square meters
- Rate (R)
The unit rate is per square meter.
- Rate (R)
-
60 seconds per minute
- Not a rate (N)
This is a definition, not a rate, as seconds and minutes are both units of time.
- Not a rate (N)
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6 inches in half ruler
- Not a rate (N)
This is a measurement of length, not a rate.
- Not a rate (N)
-
6 apples in 3 every oranges
- Rate (R)
The unit rate is .
- Rate (R)
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15 candies in every P60.00
- Rate (R)
The unit rate is .
- Rate (R)
Would you like further details or explanations on any of these? Here are five related questions to deepen your understanding:
- How do you differentiate between a ratio and a rate?
- Can you find another example of a rate involving distance and time?
- How would you convert a rate of 5 miles per hour to kilometers per hour?
- Why is "60 seconds per minute" not considered a rate?
- How can we interpret unit rates in real-life scenarios, such as in shopping or travel?
Tip: Always simplify rates to their unit form, which makes comparisons and applications easier.
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Math Problem Analysis
Mathematical Concepts
Ratios
Rates
Unit Rates
Formulas
Rate = Quantity 1 / Quantity 2
Theorems
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Suitable Grade Level
Grades 6-8