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Estimating Square Roots

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Last updated over 3 years ago
18 questions
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Question 1
1.

From least to greatest, list the perfect squares from 1 to 225 (seperate with commas)

Hint: Your answer should have 15 numbers

In the last lesson, we learned about perfect square roots. A perfect square root is a number whose square root is an integer (a number that isn't a fraction or decimal).

A number whose square root is not an integer is an imperfect square. When finding the square root of these numbers, the answer will not be an integer - it will be a fraction or decimal.

For example, the square root of 27 is equal to 5.196, and the square root of 215 is equal to 14 2/3.
HOW TO ESTIMATE THE SQUARE ROOT:
(We will use 28 as our example)

Step 1 - Determine which two perfect squares your number falls between. The answer you are looking for will fall between these two numbers.

28 falls between 25 and 36

Step 2: Determine the perfect square number that is closest to the number you are estimating

28 is closer to 25

Step 3: Find the square root of that number. This is your estimation.

The square root of 25 is 5, so the square root of 28 is about 5.
Question 2
2.

What two perfect square numbers is 18 in between?

Question 3
3.

Is 18 closer to 16 or 25?

Question 4
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Question 5
5.

Estimate the value of the following square roots.
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Question 18
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