Download - Order of Operations with the flintstones
![Page 1: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/1.jpg)
![Page 2: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/2.jpg)
![Page 3: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/3.jpg)
![Page 4: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/4.jpg)
![Page 5: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/5.jpg)
![Page 6: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/6.jpg)
![Page 7: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/7.jpg)
![Page 8: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/8.jpg)
![Page 9: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/9.jpg)
![Page 10: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/10.jpg)
![Page 11: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/11.jpg)
![Page 12: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/12.jpg)
![Page 13: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/13.jpg)
![Page 14: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/14.jpg)
![Page 15: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/15.jpg)
![Page 16: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/16.jpg)
![Page 17: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/17.jpg)
![Page 18: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/18.jpg)
It turns out that all four It turns out that all four people were people were performing the performing the individual math individual math operations correctly, operations correctly, they were just doing they were just doing them in different them in different ORDERS.ORDERS.
![Page 19: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/19.jpg)
To solve this horrible To solve this horrible problem of everyone problem of everyone doing the math doing the math correctly and everyone correctly and everyone getting DIFFERENT getting DIFFERENT ANSWERS, a special ANSWERS, a special ORDER OF ORDER OF OPERATIONS was OPERATIONS was agreed upon.agreed upon.
![Page 20: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/20.jpg)
The math community The math community agreed upon setting up agreed upon setting up some operations as MORE some operations as MORE IMPORTANT and thus IMPORTANT and thus decided that they should decided that they should always be done first. Here always be done first. Here is what they decided:is what they decided:
![Page 21: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/21.jpg)
►11stst PARENTHESES or BRACKETSPARENTHESES or BRACKETS Grouping symbols are always done from Grouping symbols are always done from
the innermost set outward.the innermost set outward.
![Page 22: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/22.jpg)
►11stst PARENTHESES or BRACKETSPARENTHESES or BRACKETS Grouping symbols are always done from Grouping symbols are always done from
the innermost set outward.the innermost set outward.
►22ndnd EXPONENTS EXPONENTS Remember applying an exponent is Remember applying an exponent is
different than just multiplying. EX: 2different than just multiplying. EX: 233 means 2 x 2 x 2 = 8means 2 x 2 x 2 = 8
![Page 23: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/23.jpg)
►11stst PARENTHESES or BRACKETSPARENTHESES or BRACKETS Grouping symbols are always done from Grouping symbols are always done from
the innermost set outward.the innermost set outward.
►22ndnd EXPONENTS EXPONENTS Remember applying an exponent is Remember applying an exponent is
different than just multiplying. EX: 2different than just multiplying. EX: 233 means 2 x 2 x 2 = 8means 2 x 2 x 2 = 8
►33rdrd MULTIPLY or DIVIDE MULTIPLY or DIVIDE These operations are done in the order These operations are done in the order
they appear from left to right. They are they appear from left to right. They are done together because they have the done together because they have the SAME IMPORTANCE.SAME IMPORTANCE.
![Page 24: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/24.jpg)
► 11stst PARENTHESES or BRACKETSPARENTHESES or BRACKETS Grouping symbols are always done from the Grouping symbols are always done from the
innermost set outward.innermost set outward.
► 22ndnd EXPONENTS EXPONENTS Remember applying an exponent is different Remember applying an exponent is different
than just multiplying. EX: 2than just multiplying. EX: 233 means 2 x 2 x 2 = 8 means 2 x 2 x 2 = 8
► 33rdrd MULTIPLY or DIVIDE MULTIPLY or DIVIDE These operations are done in the order they These operations are done in the order they
appear from left to right. They are done together appear from left to right. They are done together because they have the SAME IMPORTANCE.because they have the SAME IMPORTANCE.
► 44thth ADD or SUBTRACT ADD or SUBTRACT Here again we have two operations of the SAME Here again we have two operations of the SAME
IMPORTANCE. These are done in the order that IMPORTANCE. These are done in the order that they appear from left to right.they appear from left to right.
![Page 25: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/25.jpg)
► 11stst PARENTHESES or BRACKETSPARENTHESES or BRACKETS Grouping symbols are always done from the Grouping symbols are always done from the
innermost set outward.innermost set outward.
► 22ndnd EXPONENTS EXPONENTS Remember applying an exponent is different Remember applying an exponent is different
than just multiplying. EX: 2than just multiplying. EX: 233 means 2 x 2 x 2 = 8 means 2 x 2 x 2 = 8
► 33rdrd MULTIPLY or DIVIDE MULTIPLY or DIVIDE These operations are done in the order they These operations are done in the order they
appear from left to right. They are done together appear from left to right. They are done together because they have the SAME IMPORTANCE.because they have the SAME IMPORTANCE.
► 44thth ADD or SUBTRACT ADD or SUBTRACT Here again we have two operations of the SAME Here again we have two operations of the SAME
IMPORTANCE. These are done in the order that IMPORTANCE. These are done in the order that they appear from left to right.they appear from left to right.
![Page 26: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/26.jpg)
The saying, Please The saying, Please Excuse My Dear Aunt Excuse My Dear Aunt Sally, is often used to Sally, is often used to help folks remember help folks remember the proper order. The the proper order. The first letter of each first letter of each word here stands for a word here stands for a math operation.math operation.
![Page 27: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/27.jpg)
![Page 28: Order of Operations with the flintstones](https://reader033.vdocuments.mx/reader033/viewer/2022052507/55808bd7d8b42a08768b467e/html5/thumbnails/28.jpg)
Try these on your own.Try these on your own.
►3 + 9 x 8 - 63 + 9 x 8 - 622 = ? = ?►16 + (416 + (422 - 2 x 3) - 2 x 3)22- 9 = ?- 9 = ?►16 - 8 + 3 - 2 + 4 = ?16 - 8 + 3 - 2 + 4 = ?►24 / 6 x 2 x 2 / 4 = ?24 / 6 x 2 x 2 / 4 = ?