Order of Operations - Weebly



Order of Operations

|What is an exponent? |An exponent tells how many times a number called the base is used as a factor. |

|What is the 5? |The 5 is called the base. 52 |

|What is the rule for the power of zero? |The rule states that any number to the power of zero us equal to one. |

|If the exponent is 2, you say . . . ? |Squared |

|If the exponent is 3, you say . . . ? |Cubed |

|What is 5x5x5x5 written in exponential notation? |54 |

|What is 33 written as a product and its solution? |3x3x3=27 |

|What is the order of operations? |Order of operations is a series of steps to solve numerical expressions. |

| |Perform operations in parentheses first |

| |Find the values of the number with exponents |

| |Multiply or divide from left to right as ordered in the problem. |

| |Add or subtract from left to right as ordered in the problem. |

|What does PEMDAS stand for? |P-Parentheses |

| |E-Exponents |

| |M-Multiply |

| |D-Divide |

| |A-Add |

| |S-Subtract |

|Box It, Solve It, Rewrite It! | |

|Example | |

|9 + 12 x 2 = |1.Multiply |

|9+24 |2. Add |

|33 | |

|Example | |

|4 x 32 + 8 – 16 |Solve exponents |

|4 x 9 + 8 –16 |Multiply |

|36 + 8 – 16 |Add |

|44 –16 |Subtract |

|28 | |

| | |

| | |

|Example | |

|8 ( (1 + 3) x 52 –2 |(Add) |

|8 ( 4 x 52 – 2 |Solve exponents |

|8 ( 4 x 25 – 2 |Divide |

|2 x 25 –2 |Multiply |

|50 – 2 |Subtract |

|48 | |

|Example | |

|42 + 48 ( (10 –4) |(Subtract) |

|42 + 48 ( 6 |Solve exponents |

|16 + 48 ( 6 |Divide |

|16 + 8 |Add |

|24 | |

|Example | |

|21 ( (3 + 4) x 9 - 23 |(Add) |

|21 ( 7 x 9 - 23 |Solve Exponents |

|21 ( 7 x 9 – 8 |Divide |

|3 x 9 – 8 |Multiply |

|27 – 8 |Subtract |

|21 | |

|Example | |

|Regina bought 5 carved wooden beads for $3 each and 8 glass beads| |

|for $2 each. Write and evaluate the expression. | |

|5 x $3 + 8 x $2 | |

|$15 + 8 x $2 |Multiply |

|$15 + $16 |Multiply |

|$31 |Add |

|Example | |

|Tyler walked 2 miles a day for the first week of his exercise | |

|plan. Then he walked 3 miles for the next nine days. How many | |

|miles did Tyler walk? | |

|2 x 7 + 3 x 9 |Multiply |

|14 + 3 x 9 |Multiply |

|14 + 27 |Add |

|41 miles | |

Order of Operations

|What is an exponent? |An exponent tells how many times a number called the _________ is used as a ___________. |

|What is a base? | |

|What is the rule for the power of zero? |The rule states that any ______________ to the power of ________ is equal to |

| |___________. |

|If the exponent is 2, you say . . . ? | |

|If the exponent is 3, you say . . . ? | |

|What is 5x5x5x5 written in exponential notation? | |

|What is 33 written as a product and its solution? | |

|What is the order of operations? |Order of operations is a series of steps to solve _____________________________. |

| |Perform operations in ________________ first |

| |Find the values of the number with ______________ |

| |___________ or ____________ from __________ to __________ as ordered in the problem. |

| |___________ or ____________ from __________ to __________ as ordered in the problem. |

|What does PEMDAS stand for? |P-Parentheses |

| |E-Exponents |

| |M-Multiply |

| |D-Divide |

| |A-Add |

| |S-Subtract |

|Box It, Solve It, Rewrite It! | |

|Example | |

|9 + 12 x 2 = | |

|Example | |

|4 x 32 + 8 – 16 | |

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|Example | |

|8 ( (1 + 3) x 52 –2 | |

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|Example | |

|21 ( (3 + 4) x 9 - 23 | |

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|Example | |

|Regina bought 5 carved wooden beads for $3 each and 8 glass beads| |

|for $2 each. Write and evaluate the expression. | |

| | |

| | |

| | |

| | |

| | |

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| | |

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|Example | |

|Tyler walked 2 miles a day for the first week of his exercise | |

|plan. Then he walked 3 miles for the next nine days. How many | |

|miles did Tyler walk? | |

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| | |

| | |

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