לתלמיד - סדר פעולות

השימוש במחשבון אינו רצוי בשלבים מוקדמים, כי הוא פוגע בהבנה המתימטית ובשליטה במיומנויות המתימטיות. עם זאת, מאחר שמרבית המחשבונים מבוססים על השיטה העשרונית, ניתנת בזאת טעימה מעטה של השימוש בהם.יש לזכור שקיימים פיתוחים רבים של מחשבונים ושיהיו עוד פיתוחים בעתיד. מטרת הפרק אינה להקנות יכולות לשימוש במחשבונים המתקדמים, היא רק מצביעה על הקשר בין המחשבונים לכתיבה העשרונית, במיוחד במספרים גדולים מאוד (ובמספרים קטנים מאוד, שאותם נלמד בעתיד).

#_lt#!--[if !mso]#_gt# #_lt#mce#_sc#style#_gt##_lt#! v\#_sc#* {behavior#_sc#url(#default#VML);} o\#_sc#* {behavior#_sc#url(#default#VML);} w\#_sc#* {behavior#_sc#url(#default#VML);} .shape {behavior#_sc#url(#default#VML);} --#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#!--[endif] --#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#פיתרו את התרגילים הבאים והיזכרו בחוקים של סדר הפעולות.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#= 8 - 7X#_lt#/span#_gt##_lt#span lang="HE"#_gt#9#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#= 13 + 5X#_lt#/span#_gt##_lt#span lang="HE"#_gt#4 #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#= #_lt#/span#_gt##_lt#span#_gt#5X#_lt#/span#_gt##_lt#span lang="HE"#_gt#7 + 2 #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#= 7 #_sc# 56 + 9X#_lt#/span#_gt##_lt#span lang="HE"#_gt#8 #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#= 8 #_sc# 32 - 96 #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#פיתרו ללא מחשבון את התרגילים הבאים וקיבעו מה הם החוקים שלפיהם עבדתם.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span#_gt##_lt#img style="max-width:100%; height:auto;" src="../pic_files/Fig_T12_decimal_num_13.jpeg" alt="../pic_files/Fig_T12_decimal_num_13.jpeg" height="377" width="214"#_gt##_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#פעולות ה ______ וה ________ קודמות לחיבור ולחיסור.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#הסוגריים ____________ לכל.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#בתרגילים המסומנים ב - * מופיעים אותם המספרים ואותן הפעולות.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#מדוע יש תרגילים שבהם הסוגריים מובילים לתוצאה שונה מזו של התרגיל המסומן הראשון#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#ויש כאלה שנותנים אותה תוצאה? מהי מסקנתכם? #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#יש שלבים בפיתרון#_sc##_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#שלב א'#_sc# סוגריים.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#שלב ב'#_sc# כפל וחילוק.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#שלב ג'#_sc# חיבור וחיסור.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#כאשר יש מיספר פעולות השייכות לאותו שלב, ניפתור לפי סדר הכתיבה.#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#לדוגמא#_sc##_lt#/span#_gt##_lt#br#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt##_lt#img style="max-width:100%; height:auto;" src="../pic_files/Fig_T12_decimal_num_14.jpeg" alt="../pic_files/Fig_T12_decimal_num_14.jpeg" height="109" width="161"#_gt##_lt#br#_gt##_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#נכניס בתוך התרגיל שפתרנו סוגריים שיכילו שני מרכיבים של התרגיל. נזיז את הסוגריים כל פעם למקום אחר ונפתור את התרגילים. #_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#איזו מסקנה ניתן להסיק מפעולותינו?#_lt#/span#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#img style="max-width:100%; height:auto;" src="../pic_files/Fig_T12_decimal_num_15.jpeg" alt="../pic_files/Fig_T12_decimal_num_15.jpeg" height="228" width="180"#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#את התרגיל הבא פיתרו עם מחשבון. רישמו את התשובה שעל הצג#_sc##_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#img style="max-width:100%; height:auto;" src="../pic_files/Fig_T12_decimal_num_16.jpeg" alt="../pic_files/Fig_T12_decimal_num_16.jpeg" height="74" width="186"#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#התשובה שקיבלתם היא שבר עשרוני, עליו נלמד בקרוב.#_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#הכניסו בתרגיל סוגריים שיכילו 3 מרכיבים של התרגיל כל פעם#_sc##_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#img style="max-width:100%; height:auto;" src="../pic_files/Fig_T12_decimal_num_17.jpeg" alt="../pic_files/Fig_T12_decimal_num_17.jpeg" height="236" width="179"#_gt##_lt#br#_gt##_lt#br#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt# #_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#המסקנה #_sc# #_lt#/span#_gt##_lt#span lang="HE"#_gt#__________________________________________________ .#_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#פיתרו#_sc##_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#img style="max-width:100%; height:auto;" src="../pic_files/Fig_T12_decimal_num_18.jpeg" alt="../pic_files/Fig_T12_decimal_num_18.jpeg" height="289" width="268"#_gt##_lt#br#_gt##_lt#br#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p class="MsoNormal" style="text-align#_sc# justify; line-height#_sc# normal;"#_gt##_lt#span style="font-size#_sc# medium;"#_gt##_lt#span lang="HE"#_gt#איזו בעיה מתעוררת בתרגילים המסומנים ב - ** ? האם אתם יודעים כיצד לפתור את התרגילים האלה?#_lt#/span#_gt##_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#p#_gt##_lt#span style="font-size#_sc# medium;"#_gt# #_lt#/span#_gt##_lt#/p#_gt# #_lt#!--[if gte mso 9]#_gt##_lt#xml#_gt# #_lt#o#_sc#OfficeDocumentSettings#_gt# #_lt#o#_sc#AllowPNG /#_gt# #_lt#/o#_sc#OfficeDocumentSettings#_gt# #_lt#/xml#_gt##_lt#![endif]--#_gt##_lt#!--[if gte mso 9]#_gt##_lt#xml#_gt# #_lt#w#_sc#WordDocument#_gt# #_lt#w#_sc#View#_gt#Normal#_lt#/w#_sc#View#_gt# #_lt#w#_sc#Zoom#_gt#0#_lt#/w#_sc#Zoom#_gt# #_lt#w#_sc#TrackMoves#_gt#false#_lt#/w#_sc#TrackMoves#_gt# #_lt#w#_sc#TrackFormatting /#_gt# #_lt#w#_sc#DoNotShowComments /#_gt# #_lt#w#_sc#DoNotShowInsertionsAndDeletions /#_gt# #_lt#w#_sc#PunctuationKerning /#_gt# #_lt#w#_sc#ValidateAgainstSchemas /#_gt# #_lt#w#_sc#SaveIfXMLInvalid#_gt#false#_lt#/w#_sc#SaveIfXMLInvalid#_gt# #_lt#w#_sc#IgnoreMixedContent#_gt#false#_lt#/w#_sc#IgnoreMixedContent#_gt# #_lt#w#_sc#AlwaysShowPlaceholderText#_gt#false#_lt#/w#_sc#AlwaysShowPlaceholderText#_gt# #_lt#w#_sc#DoNotPromoteQF /#_gt# #_lt#w#_sc#LidThemeOther#_gt#EN-US#_lt#/w#_sc#LidThemeOther#_gt# #_lt#w#_sc#LidThemeAsian#_gt#X-NONE#_lt#/w#_sc#LidThemeAsian#_gt# #_lt#w#_sc#LidThemeComplexScript#_gt#HE#_lt#/w#_sc#LidThemeComplexScript#_gt# #_lt#w#_sc#Compatibility#_gt# #_lt#w#_sc#BreakWrappedTables /#_gt# #_lt#w#_sc#SnapToGridInCell /#_gt# #_lt#w#_sc#WrapTextWithPunct /#_gt# #_lt#w#_sc#UseAsianBreakRules /#_gt# #_lt#w#_sc#DontGrowAutofit /#_gt# #_lt#w#_sc#SplitPgBreakAndParaMark /#_gt# 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