Podcast
Questions and Answers
What is the square of 7?
What is the square of 7?
- 56
- 21
- 49 (correct)
- 14
Which of the following numbers is a perfect square?
Which of the following numbers is a perfect square?
- 45
- 30
- 12
- 25 (correct)
What is the perimeter of a square with an area of 36 cm²?
What is the perimeter of a square with an area of 36 cm²?
- 18 cm
- 12 cm
- 24 cm (correct)
- 36 cm
Which of the following statements describes a number that is not a perfect square?
Which of the following statements describes a number that is not a perfect square?
If the side length of a square is 4 units, what is its area?
If the side length of a square is 4 units, what is its area?
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Study Notes
Squaring a Number
- Squaring a number involves multiplying it by itself.
- This is represented by raising the number to the power of two.
- The result is known as the square of the number.
- For example, the square of 5 is 5 x 5 = 25, written as 5² = 25.
Representing Square Numbers
- A square number can be visually represented by drawing a square whose area is equal to the square number.
- For example, 25 can be represented by a square with a side length of 5 units.
Calculating Perimeter
- To calculate the perimeter of a square, first determine the side length.
- The side length is the square root of the area.
- Add all the sides together to find the perimeter.
- For instance, a square with an area of 9 cm² has a side length of 3 cm (3 x 3=9).
- The perimeter of this square is 12 cm (3 cm + 3 cm + 3 cm + 3 cm).
Perfect Squares
- A perfect square is a number that can be represented by a square using a whole number of units.
- For example, 16 is a perfect square as it can be represented by a square with a side length of 4 units.
- A number is not a perfect square if it cannot be represented by a square using a whole number of units.
- For example, 20 is not a perfect square, as it can only be represented by a 4 x 5 rectangle.
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