[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361231-105":59,"doc-detail-361231-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","scientific-notation-word-problems-b","Scientific Notation Word Problems (B)","","Scientific Notation Word Problems (B) provides 16 K-12 practice problems focused on scientific notation operations and conversions. Students read each scenario, determine whether to add/subtract, multiply, or divide, and then express final answers in scientific notation. Topics include distances, very small measurements, time and rates, combining quantities, mass comparisons, unit scaling across multiple objects, and applied word-modeling with an answer key supporting step-by-step solution checking.",{"@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/scientific-notation-word-problems-b/361231/",{"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/scientific-notation-word-problems-b/361231.png","ImageObject",300,407,{"name":92,"@type":93},"Cart","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What operations should be used for each word problem in this worksheet?","Question",{"text":113,"@type":114},"Read the operation implied by the scenario: add/subtract when combining or comparing the same type, multiply for rate × time or scaling, and divide for finding a rate/ratio or how many fit.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"In what format are final answers required?",{"text":118,"@type":114},"All final answers must be written in scientific notation as instructed in the directions.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of math contexts do the problems cover?",{"text":122,"@type":114},"The worksheet covers real-world measurements such as distances, widths, volumes, masses, speeds, storage capacity, and total amounts over time or across multiple units.","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},361231,1790216464,{"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":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},18829141979164,"https://eur-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:     \nScientific Notation Word Problems (B)  \nRemember: Read carefully to identify the operation. Add/Subtract: same type combined or compared. Multiply: rate × time, or scaling up. Divide: find rate, ratio, or how many fit. Always give your final answer in scientific notation.  \nDirections: Solve each word problem. Show your work and write your answer in scientific notation.  \n1.) The distance from Earth to the Sun is about 150, 000, 000 km.  \n2.) A human hair is about 0.00007 meters wide. Write in scientific notation.  \n3.) The diameter of the Milky Way is about 9 .5 × 10²⁰ m. Write in standard form.  \n4.) A flu virus is 1.2 × 10⁻⁷ m wide. Write in standard form.  \n5.) Light travels 3 × 10⁸ m/s. Mars is about 2.25 × 10¹¹ m away. How long does light take to reach Mars?  \n6.) A grain of sand weigh sabout 6 . 7 × 10⁻² grams. How much do 3 × 10⁴ grains weigh?  \n7.) A country has 3.2 × 10⁸ dollars in tax revenue and 4.7 × 10⁷ in spending. What is the surplus? =  \n8.) Two oceans have volumes of 3.1 × 10⁸ km³ and 7.4 × 10⁷ km³.  \nWhat is the combined volume?  \n9.) A rocket travels at 1.2 × 10⁴ km/h. How far does it travel in 5 × 10² hours?  \n10.) A tank holds 4.8 × 10⁶ liters. It drains at 2.4 × 10³ liters/hour.  \nHow many hours to empty?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n11.) The Amazon River releases about 2 × 10⁵ m³ of water per second.  \nHow much in one hour (3, 600 s = 3.6 × 10³ s)?  \n12.) Jupiter’s mass is 1.9 × 10²⁷ kg. Earth’s mass is 6 × 10²⁴ kg.  \nHow many times more massive is Jupiter?  \n13.) A strand of spider silk is 3 × 10⁻⁶ m thick.  \nIf 1, 000 strands are placed side by side, what is the total width?  \n14.) A storage drive holds 6.4 × 10⁹ bytes.  \nEach song file is 3.2 × 10⁶ bytes. How many songs fit?  \n15.) The Andromeda Galaxy is 2.4 × 10¹⁹ km from Earth.  \nOur galaxy is 9.5 × 10¹⁷ km wide. About how many galaxy − widths away is Andromeda?  \n16.) A city serves 2.5 × 10⁶ people, each using 1.5 × 10² gallons/day.  \nHow many gallons total per day?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1. ) The distance from Earth to the Sun is about 150, 000, 000 km. Write in scientific notation. = 1.5 × 10⁸ km  \n2. ) A human hair is about 0.00007 meters wide. Write in scientific notation. = 7 × 10⁻⁵ m  \n3. ) The diameter of the Milky Way is about 9 .5 × 10²⁰ m. Write in standard form. = 95, 000, 000, 000, 000, 000, 000 m  \n4. ) A flu virus is 1.2 × 10⁻⁷ m wide. Write in standard form. = 0.00000012 m  \n5. ) Light travels 3 × 10⁸ m/s. Mars is about 2.25 ×  \n10¹¹ m away. How long does light take to reach Mars? = 2.25 × 10¹¹ ÷ 3 × 10⁸ = 7.5 × 10² seconds (about 12 . 5 minutes)  \n6. ) A grain of sand weighs about 6.7 × 10⁻² grams. How much do 3 × 10⁴ grains weigh? = 6.7 × 10⁻² × 3 × 10⁴ = 2.01 × 10³ grams  \n7. ) A country has 3.2 × 10⁸ dollars in tax revenue and 4.7 ×  \n10⁷ in spending. What is the surplus? = 3.2 × 10⁸ − 0.47 × 10⁸ = 2.73 × 10⁸ dollars  \n8. ) Two oceans have volumes of 3.1 × 10⁸ km³ and 7.4 ×  \n10⁷ km³. What is the combined volume? = 3.1 × 10⁸ + 0.74 × 10⁸ = 3.84 × 10⁸ km³  \n9. ) A rocket travels at 1.2 × 10⁴ km/h. How far does it travel in 5 × 10² hours? = 1.2 × 10⁴ × 5 × 10² = 6.0 × 10⁶ km  \n10. ) A tank holds 4.8 × 10⁶ liters. It drains at 2.4 × 10³ liters/  \nhour. How many hours to empty? = 4.8 × 10⁶ ÷ 2.4 × 10³ = 2.0 × 10³ hours  \n11. ) The Amazon River releases about 2 ×  \n10⁵ m³ of water per second. How much in one hour (3, 600 s = 3.6 × 10³ s)? = 2 × 10⁵ × 3.6 × 10³ = 7.2 × 10⁸ m³  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n12. ) Jupiter’s mass is 1.9 × 10²⁷ kg. Earth’s mass is 6 ×  \n10²⁴ kg. How many time","cbCaimtmiux6fXOd","https://ap.wps.com/l/cbCaimtmiux6fXOd","pdf",6194612,"English","# Scientific Notation Word Problems (B)\n## Directions and Notes\n## Problems 1-16\n## Answer Key","[{\"question\":\"What operations should be used for each word problem in this worksheet?\",\"answer\":\"Read the operation implied by the scenario: add/subtract when combining or comparing the same type, multiply for rate × time or scaling, and divide for finding a rate/ratio or how many fit.\"},{\"question\":\"In what format are final answers required?\",\"answer\":\"All final answers must be written in scientific notation as instructed in the directions.\"},{\"question\":\"What types of math contexts do the problems cover?\",\"answer\":\"The worksheet covers real-world measurements such as distances, widths, volumes, masses, speeds, storage capacity, and total amounts over time or across multiple units.\"}]","Scientific Notation Word Problems (B) | PDF",1790143621]