Perfect Squares Square Roots and the Order of

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Perfect Squares, Square Roots, and the Order of Operations So, what makes a number

Perfect Squares, Square Roots, and the Order of Operations So, what makes a number a perfect square? A perfect square is a number that is the product of any integer multiplied to itself. For example, 1 x 1 = 1 and 2 x 2 = 4… 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are all of the perfect squares found from 1 – 100.

Another reason perfect squares are considered “perfect” can be justified with the visual shown

Another reason perfect squares are considered “perfect” can be justified with the visual shown below. On the provided piece of graph paper, draw your own perfect square example. Remember each side of the square should be the same length. The squares in the center is your perfect square number.

The square root of a number is the opposite (or reverse) of finding the

The square root of a number is the opposite (or reverse) of finding the perfect square. It is uncovering the base number that was multiplied to itself. We can identify a square root problem with this symbol: This symbol can also be referred to as a “radical. ”

“The square root of 9 equals 3. ” “The square root of 16 equals

“The square root of 9 equals 3. ” “The square root of 16 equals 4. ” “The square root of 81 equals 9. ” Create your own square root problems. Place a perfect square inside the radical and solve it. = ____

Sometimes, exponents and square root symbols find their way into numerical expressions. It is

Sometimes, exponents and square root symbols find their way into numerical expressions. It is our job to comprehend the situation and, most likely, evaluate the expression. 2 16 + 5 x (2 + 8) - 225

2 16 + 5 x (2 + 8) - 225 To solve this problem,

2 16 + 5 x (2 + 8) - 225 To solve this problem, we have to follow the ORDER OF OPERATIONS. By solving it in a specific order and with accurate calculations, we are guaranteed to evaluate it correctly. Scared?

PEMDAS Time! Remember “Please Excuse My Dear Aunt Sally? ” [(P)] E M/D A/S

PEMDAS Time! Remember “Please Excuse My Dear Aunt Sally? ” [(P)] E M/D A/S Parentheses (and brackets) are first to solve. Exponents and Radicals are next to complete. Multiplication or Division Addition or Subtraction finalizes the process. Your final answer should be one simplified expression or number.

2 16 + 5 x (2 + 8) - 225 Hint! Break up the

2 16 + 5 x (2 + 8) - 225 Hint! Break up the expressions into smaller, more manageable parts. Look for the addition and subtraction operations (not including the one in the parentheses). These will help separate the expression.

2 16 + 5 x (2 + 8) - 225 16 + 25 x

2 16 + 5 x (2 + 8) - 225 16 + 25 x 10 - 15 16 + 250 - 15 266 – 15 251

12 + 62 x 2 - 121

12 + 62 x 2 - 121

3 72 – 2 x 64 - 2. 5

3 72 – 2 x 64 - 2. 5