Estimating Square Roots Math 8 By the end of class today I will be able to: -Estimate a square root to the nearest whole number -Estimate a square root to the nearest tenth -Estimate a square root using a calculator To begin: We have three questions to see what we understand so far about square numbers. Please do the three questions and then compare your answer with a partner. Let your teacher know when you are finished. 4
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Estimating Square Roots Math 8
By the end of class today I will be able to: -Estimate a square root to the nearest whole number -Estimate a square root to the nearest tenth -Estimate a square root using a calculator
To begin: We have three questions to see what we understand so far about square numbers. Please do the three questions and then compare your answer with a partner. Let your teacher know when you are finished.
We can estimate square roots to the nearest whole number
We can also estimate roots to decimal places. Ex: Estimate
to the nearest tenth (that's ___ decimal place)
Use a numberLine!
Use a calculator to check your answer
Once I estimate a square root, I can check my answer with a calculator
ex: Estimate
check your answer with a calculator. Why is it not right on?
Even when you calculate the square root of a number that is not a perfect square using your calculator, we are really only estimating it. Why?
Use your calculator to find the following. Round your answer to one decimal place.
Summary:Not all numbers are perfect squares.Numbers that are not perfect squares have square roots that are not whole numbersWe can estimate square roots of these numbers three ways:1. By finding the square root of the nearest number that is a perfect square
2. By thinking of a number smaller and larger than our number, we can estimate the root to a decimal value. We can check our work with a calculator
3. We can use our calculator to find the square root. If we are rounding our answer, it is still only an estimate.