[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-319726-105":59,"doc-detail-319726-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","numerical-ability-review-and-preparation-numerical-ability","Numerical Ability Review and Preparation - Numerical Ability","","Sample test material for Numerical Ability assessment covering operations with decimals and rational expressions. Includes rules for aligning decimals in addition and subtraction, step-by-step methods for multiplication and long division, and multiple practice and worked examples with real-world word problems such as mileage totals, pressure differences, gas purchases, and tile layout. Also covers fraction addition/subtraction using common denominators, converting between decimals and fractions, and fraction-based ratio problems.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/numerical-ability-review-and-preparation-numerical-ability/319726/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/numerical-ability-review-and-preparation-numerical-ability/319726.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How should decimals be added or subtracted?","Question",{"text":113,"@type":114},"Always line up the decimal point when adding or subtracting decimals. If sums involve different decimal lengths, align the points and compute normally.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What are the steps for long division with decimals?",{"text":118,"@type":114},"Place the divisor on the left and the dividend inside, move the divisor decimal to make it a whole number, move the dividend decimal the same amount, enter the decimal point in the quotient, then continue dividing until the quotient repeats or ends.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you add or subtract fractions with different denominators?",{"text":122,"@type":114},"Use a common denominator. When denominators differ, build each fraction using the least common multiple so the denominators match before adding or subtracting.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},319726,1790037762,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146,"preview_page_count":4},549768702563,"https://ap-avatar.wpscdn.com/avatar/8000c4aa63b76e948b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786536092046926083","Please find attached,a sample test (and answers)givento us by Diablo Valley College which is being provided toyou as an aid in preparation for your upcoming exam.Ithas been suggested by DVC that it is also a reflection ofwhat you might find on the test itself.  \nThank you and Good Luck!  \nPlease note that this is not endorsed by UA Local 342's Apprenticeship Program,as we do not see theactual exam itself,and therefore cannot verify the similarities or accurateness.  \n# Numerical Ability Review and Preparation\n\nI.   Operations with decimals  \nAddition and subtraction rules  \nAlways line up the decimal point when adding decimals.  \nExample 1.Find the sum 4.2+9.25+18  \nExample 2.A residential home standing pressure is set at  \n84.90  \n79.82 psi but measures 84.9 psi.How much higher is thereading from the set value?  \n-79.82  \n 5.08   \nPractice 1.John goes on four deliveries Monday morning and records 6.01miles,9.2 miles,8miles and,24.63 miles.Find the total miles for these fourdeliveries.  \nPractice 2.The length of a%inch copper pipe is 38.25 feet long but should be 37.29feet long.How much shorter is the copper pipe?  \nPractice 3.Arrange these three amounts in descending order:.012,.12,and  \n1.2.  \nMultiplication rules a×b,the answer is called the productStep 1.Multiply the two numbers just as if they were whole numbersStep 2.No need to align the decimal point.Place the decimal point in theanswer by moving decimal point equal to the sum of the decimal pointsof both numbers.  \n\n| 37.7  \u003Cbr>×2.81   |\n| --- |\n| 377  \u003Cbr>3016  \u003Cbr>754   |\n| 05.937   |\n\nExample 3.Find the product 37.7 and 2.81  \n\n| 10.25  \u003Cbr>x.0013   |\n| --- |\n| 3075  \u003Cbr>1025   |\n| .013325   |\n\nExample 4.Find the product of 10.25 and .0013  \nPractice 4.Multiply 11.2 and 9.06  \nPractice 5.Find 1.18  \nDivision rules:a+b,bis the divisor and ais the dividend,the answer iscalled the quotient  \nStep 1.Place the divisor on the left of long division,and the dividendinside.  \nStep 2.Move the decimal point of the divisor to right obtain a wholenumber.  \nStep 3.Move the decimal point of the dividend the same number ofplaces.  \nStep 4.Enter the decimal point in the quotient from step 3.  \nStep 4.Perform long division and continuing dividing until quotientrepeats or ends.  \nExample 5.Find the quotient of .2236÷.043  \n\n| ).2236→043)223.6  \u003Cbr>5.2  \u003Cbr>43223.6  \u003Cbr>215  \u003Cbr>86  \u003Cbr>86  \u003Cbr>0   |\n| --- |\n\n003).02→3)20.  \nExample 6.Find the quotient .02÷3  \n↓  \n6.6666.…  \n3)  \n20.000  \nPractice6..0315÷.0025  \nPractice 7.A bag of quarters weighs 8.19 troy ounces.If a quarter weighs.182 troy ounces,how many quarters are there in the bag?  \nVerbal problems involving decimals  \nExample 7.Jose must work an average of 4.2 hours a day over the next threedays.If Jose worked 3.5 hours on Monday,2.1 hours on Tuesday,how manyhours does he need to work on Wednesday?  \nSolution.If the average is 4.2hours a day,then Jose mustwork a total of 3x4.2=12.6hours for the next three days.Monday and Tuesday totals  \n5.6,so Jose needs to work 7hours on Wednesday.  \n\n| Divide $50.44 by 4.85  \u003Cbr>10.4  \u003Cbr>485  \u003Cbr>5044.00  \u003Cbr>485  \u003Cbr>1940  \u003Cbr>1940  \u003Cbr>0   |\n| --- |\n\nExample 8.You need to put some gasoline in yourtruck.Gasoline is $4.85 a gallon.You only have a totalof $50.44 in your pocket..How many gallons can youbuy?  \n\n| Drink 9.40  \u003Cbr>deposit .60  \u003Cbr>2.50  \u003Cbr>chips  \u003Cbr>4 bananas 92  \u003Cbr>$13.42  \u003Cbr>Jackie should get back $20.00-$13.42=$6.58   |\n| --- |\n\nExample 9.Jackie stops to buysome a 6pack of energy drinkscosting $9.40 plus a deposit of$.60,a bag of chips for $2.50,and4 bananas costing .23 each.Howmuch will she receive in chargefrom a $20 bill?  \nPractice 8.A truck hauling 82 crates of steel roads in which each crateweighs 50.4 pound is stopped for excessive weight as the truck has a limit of  \n4,000 pounds.How many crates must be removed to be under the limit.  \nPractice 9.A floor is 15.25 feet wide.Square tiles 8 inches square are to spanacross the floor.How many whole tiles are needed an","cbCaissoJN3Z1whD","https://ap.wps.com/l/cbCaissoJN3Z1whD","pdf",948870,25,"English","# Numerical Ability Review and Preparation\n## I. Operations with decimals\n## II. Operations with rational expressions\n## A. Addition and subtraction of fractions\n## B. Converting between decimals to fractions\n## C. Verbal problems involving fractions","[{\"question\":\"How should decimals be added or subtracted?\",\"answer\":\"Always line up the decimal point when adding or subtracting decimals. If sums involve different decimal lengths, align the points and compute normally.\"},{\"question\":\"What are the steps for long division with decimals?\",\"answer\":\"Place the divisor on the left and the dividend inside, move the divisor decimal to make it a whole number, move the dividend decimal the same amount, enter the decimal point in the quotient, then continue dividing until the quotient repeats or ends.\"},{\"question\":\"How do you add or subtract fractions with different denominators?\",\"answer\":\"Use a common denominator. When denominators differ, build each fraction using the least common multiple so the denominators match before adding or subtracting.\"}]","Numerical Ability Review and Preparation - Numerical Ability | PDF",1789946576,63]