Mathematics Vocabulary Translation Quiz

10 Questions

How can you calculate the square root of a perfect square without a calculator?

By using a factor tree to factor the number

What is the purpose of creating a factor tree in finding the square root of large numbers?

To reduce the number to its prime factors

What is the square root of 144?

If we want to find √400 without a calculator, what should be done next after factoring?

Match up pairs of factors

Why is it important to match up pairs of factors when calculating the square root of a perfect square?

To simplify the calculation

What does it mean to square a number?

To multiply the number by itself

What is the symbol used to represent a square root?

Symbol for square root (√)

What does finding the square root of a number mean?

Finding the opposite of a number squared

Which of the following is NOT true about perfect squares?

Perfect squares are not the square of another integer

If 36 is a perfect square, what is its square root?

Study Notes

Mathematics Language

Mathematics has its own special language, requiring translation into English and back again to understand and succeed.

Squares and Square Roots

Squaring a number means multiplying it by itself, notated by a superscript 2 or a caret symbol (^).
Examples: 3^2 = 33 = 9, 10^2 = 1010 = 100.
The square root operation is the inverse of the squared function, notated by the symbol √.

Perfect Squares

A number is a perfect square if it's an integer that is the square of another integer.
Examples: 25 is a perfect square because 5^2 = 25, 289 is a perfect square because 17^2 = 289.

Finding the Square Root of a Perfect Square

When a calculator is not available, a factor tree can be used to calculate the square root.
Steps to calculate the square root:
- Step 1: Factor the number completely using a factor tree.
- Step 2: Match up pairs of factors.
- Step 3: Multiply one number from each pair of factors together to get the answer.
Examples: √225 = 15, √144 = 12, √400 = 20.