Math Problem Statement

Solution

1. Additive identity for the rational numbers. 2. Classify the given figure on the basis of suitable polygon. 3. A number ending with ___________ number of zeros is never a perfect square. 4. Tally of the number 5 is ____. 5. On which item was the expenditure maximum?

Solution

Here is the solution to the provided questions:

  1. Additive identity for rational numbers: The additive identity is the number that, when added to any rational number, leaves the number unchanged. For rational numbers, this identity is:

    • Answer: a. 0
  2. Classify the given figure on the basis of suitable polygon: The given figure appears to be a polygon where at least one interior angle is greater than 180°, making it a concave polygon.

    • Answer: a. Concave polygon
  3. A number ending with ___________ number of zeros is never a perfect square: A number that ends in an odd number of zeros cannot be a perfect square.

    • Answer: b. Odd
  4. Tally of the number 5 is: The tally mark representation of the number 5 is a group of four vertical lines with a diagonal line through them.

    • Answer: a. 𝍃
  5. On which item was the expenditure maximum?: From the pie chart, the largest section is labeled "Food" at 25%, making it the category with the highest expenditure.

    • Answer: a. On food

Would you like more details or have any questions on the solutions? Here are some follow-up questions:

  1. What is the significance of the additive identity in mathematics?
  2. How can you distinguish between concave and convex polygons?
  3. Why can't a number with an odd number of zeros be a perfect square?
  4. How are tally marks used in real-world applications?
  5. What could be the reasons behind food being the largest expenditure category in many households?

Tip: Always remember that the additive identity leaves the original value unchanged when added to it!

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Math Problem Analysis

Mathematical Concepts

Additive Identity
Polygon Classification
Perfect Squares
Tally Marks
Data Interpretation (Pie Chart)

Formulas

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Theorems

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Suitable Grade Level

Grades 5-8