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What is a High?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
In mathematics, 'high' refers to a value that is large, big, or greater than other values or a set standard. It helps us compare and identify the biggest or most significant number in a group. Think of it as reaching the top.
Simple Example
Quick Example
Imagine your school had a cricket match. One player scored 75 runs, another scored 50 runs, and a third scored 90 runs. The 'high' score in this match is 90 runs because it is the largest number among all the scores.
Worked Example
Step-by-Step
Let's find the high temperature recorded in a week in Delhi.
1. The temperatures recorded for Monday to Sunday were: 35°C, 38°C, 36°C, 39°C, 37°C, 40°C, 36°C.
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2. We need to look at all these numbers and find the one that is the largest.
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3. Let's compare them: 35 is smaller than 38. 38 is smaller than 39. 39 is smaller than 40.
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4. Comparing all numbers, 40°C is the biggest number in the list.
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5. So, the 'high' temperature for the week was 40°C.
Answer: The high temperature was 40°C.
Why It Matters
Understanding 'high' helps us identify peaks, best performances, or maximum limits in various fields. It's crucial for engineers designing bridges to know high stress points, for doctors tracking high fever, and for economists analyzing high inflation rates. It helps us make important decisions.
Common Mistakes
MISTAKE: Confusing 'high' with 'low' or 'average'. Forgetting to look for the largest number. | CORRECTION: Always remember 'high' means the greatest or biggest value, not the smallest or the middle one.
MISTAKE: Only comparing the first few numbers in a list and not checking all of them. | CORRECTION: To find the true 'high', you must compare every single number in the given set.
MISTAKE: Getting confused when there are negative numbers or decimals. Forgetting that -5 is higher than -10. | CORRECTION: The concept of 'high' still applies. For example, 0.75 is higher than 0.50, and -5 is higher than -10.
Practice Questions
Try It Yourself
QUESTION: Your mobile data usage for the last three months was 15 GB, 12 GB, and 18 GB. What was the high data usage? | ANSWER: 18 GB
QUESTION: A class test had scores: 85, 92, 78, 95, 89. What is the high score in the test? | ANSWER: 95
QUESTION: A farmer noted the rainfall in his village for five days as: 10 mm, 5 mm, 12 mm, 8 mm, 15 mm. If the average rainfall needed for good crops is 9 mm, what was the high rainfall, and was it above the average? | ANSWER: High rainfall was 15 mm. Yes, 15 mm is above the average of 9 mm.
MCQ
Quick Quiz
Which of these numbers is the 'high' value: 23, 19, 31, 28?
23
19
31
28
The Correct Answer Is:
C
The highest value among 23, 19, 31, and 28 is 31 because it is the largest number in the set.
Real World Connection
In the Real World
When you check the weather app on your phone, it often shows the 'high' temperature expected for the day or week. Similarly, when you buy shares in a company, financial apps show the 'high' price the share reached in a day, which helps investors decide when to buy or sell.
Key Vocabulary
Key Terms
HIGH: The greatest or largest value in a set of numbers | COMPARE: To look at two or more things to see how they are similar or different | VALUE: A numerical amount or quantity | MAXIMUM: The greatest possible amount or degree | PEAK: The point of highest activity, performance, or intensity
What's Next
What to Learn Next
Now that you understand 'high', you should learn about 'low'. Just as 'high' helps us find the biggest value, 'low' will help us find the smallest value, completing your understanding of basic data comparison.
