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Negative numbers

Understanding Negative Numbers

  • Numbers don't simply end at zero; there exists a realm of negative numbers.
  • Negative numbers are values less than zero, such as -1, -2, -3, -4, and so on.
  • On the other hand, positive numbers are greater than zero, like 1, 2, 3, 4, 5, and beyond.
  • Zero (0) itself is distinct from both positive and negative numbers.
  • Negative numbers are relevant in various contexts, such as temperature. 
    • For instance, temperatures can drop below zero, like the current -15°C. A thermometer clearly shows that -15°C is lower than -5°C because it's further down the scale, both being negative. Similarly, in buildings, negative numbers indicate levels below ground, like a floor 10 levels underground.

MULTIPLE CHOICE QUESTION

Try yourself: Which of the following situations could involve the use of negative numbers?

A

Measuring a temperature of -10οC

B

Counting the number of students in a classroom

C

Calculating the total cost of groceries

D

Determining the speed of a car

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FAQs on Negative numbers

1. What are negative numbers and how are they represented on a number line?
Ans.Negative numbers are numbers that are less than zero. They are represented on a number line to the left of zero. For example, -1, -2, and -3 are negative numbers. The further you move to the left on the number line, the smaller the negative number becomes.
2. How do you add negative numbers?
Ans.To add negative numbers, you can think of it as subtracting their absolute values. For example, adding -3 and -2 can be done as follows: -3 + (-2) = -5. You combine the two negative numbers, resulting in a more negative number.
3. Can two negative numbers be multiplied together? What is the result?
Ans.Yes, two negative numbers can be multiplied together, and the result is always a positive number. For instance, -2 multiplied by -3 equals +6. This is because multiplying two negatives cancels out the negative signs.
4. How do you compare negative numbers?
Ans.To compare negative numbers, you look at their absolute values. The number with the greater absolute value is the smaller negative number. For example, -5 is less than -2 because the absolute value of -5 (which is 5) is greater than the absolute value of -2 (which is 2).
5. What real-life situations involve negative numbers?
Ans.Negative numbers are used in various real-life situations, such as measuring temperatures below zero, representing debts in finance, or indicating a loss in sports scores. For example, if the temperature is -5 degrees Celsius, it is 5 degrees below freezing.
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