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Part A asks students to write given distances, sizes, populations, and other measurements in scientific notation. Part B presents real-world contexts (light vs. sound, measurements, debt totals, computation per minute, astronomy, and genetics) requiring work shown and final answers in scientific notation.",{"@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-a-part-a-and-part-b-answers/359845/",{"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-a-part-a-and-part-b-answers/359845.png","ImageObject",300,407,{"name":92,"@type":93},"Aria Callaghan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does the worksheet require for final answers?","Question",{"text":113,"@type":114},"All final answers must be written in scientific notation, and Part B requires showing work as well.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the worksheet distinguish operations like multiply and divide from the wording?",{"text":118,"@type":114},"It directs students to look for clues: add/subtract involves the same type being combined/compared; multiply uses rate × time or scaling up; divide is used for rate/ratio or how many fit.",{"name":120,"@type":111,"acceptedAnswer":121},"What kinds of contexts appear in Part B?",{"text":122,"@type":114},"Part B includes comparing light and sound speeds, comparing lengths of a virus and bacterium, combining or subtracting national debt, converting calculations per second to per minute, and astronomy and biology scaling problems.","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},359845,1790439804,{"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},962084926284,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:  \n______________________________________  \nScientific Notation Word Problems (A)  \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.  \nPart A: Write the value in scientific notation.  \n1.) The distance from Earth to the Moon is about 384, 000 km.    \n2.) A red blood cell is about 0.00008 cm wide.    \n3.) The population of the US is about 330, 000, 000 people.    \n4.) A hydrogen atom has a diameter of about 0.0000001 mm.    \nPart B: Solve each word problem. Show your work and write your answer in scientific notation.  \n5.) Light travels 3 × 10⁸ m/s. Sound travels 3.4 × 10² m/s  \nHow many times faster is light than sound?   \n6.) A virusis 2 . 5 × 10⁻⁷m long. A bacterium is 5 × 10⁻⁶ m long.  \nHow many times longer is the bacterium?  \n7.) A country’s national debt is 2.8 × 10⁹ dollars. Another country’s debt is 9.4 × 10⁸ dollars. What is the total combined debt?  \n8.) Country A has a debt of 2.8 × 10⁹ dollars. Country B has 9.4 × 10⁸ dollars. How much more does Country A owe?  \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)  \n9.) A computer performs 2.5 × 10⁶ calculations per second.  \nHow many calculations can the computer perform in one minute (60 seconds)?  \n10.) The mass of Earth is 5.97 × 10²⁴ kg. The Moon’s mass is 7.35 × 10²² kg. About how many times more massive is Earth?  \n11.) Light travels 9.5 × 10¹⁵ m in one year. Write this distance in standard form.  \n12.) A factory produces 2.5 × 10⁴ cars per year. At this rate, how many years to produce 5 × 10⁶ cars?  \n13.) One mole of atoms is about 6 × 10²³ atoms. Write 6 × 10²³ in standard form.  \n14.) A DNA base pair is 3.4 × 10⁻¹⁰ m wide.  \nA gene has 5 × 10³ base pairs. How long is the gene?  \n15.) Neptune is 4.5 × 10⁹ km from the Sun. Mercury is 5.8 × 10⁷ km. About how many times farther is Neptune?  \n16.) A proton has mass 1.67 × 10⁻²⁷ kg. An electron has mass 9.1 × 10⁻³¹ kg. About how many times more massive is a proton? =    \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 Moon is about 384, 000 km. Write in scientific notation. = 3.84 × 10⁵ km  \n2. ) A red blood cell is about 0.00008 cm wide. Write in scientific notation. = 8 × 10⁻⁵ cm  \n3. ) The population of the US is about 330, 000, 000 people. Write in scientific notation. = 3.3 × 10⁸  \n4. ) A hydrogen atom has a diameter of about 0.0000001 mm. Write in scientific notation. = 1 × 10⁻⁷ mm  \n5. ) Light travels 3 × 10⁸ m/s. Sound travels 3.4 × 10² m/  \ns. How many times faster is light than sound? = 3 × 10⁸ ÷ 3.4 × 10² ≈ 8.8 × 10⁵ times faster  \n6. ) A virus is 2.5 × 10⁻⁷ m long. A bacterium is 5 ×  \n10⁻⁶ m long. How many times longer is the bacterium? = 5 × 10⁻⁶ ÷ 2.5 × 10⁻⁷ = 20 times longer  \n7. ) A country’s national debt is 2.8 × 10⁹ dollars. Another country’s debt is 9.4 × 10⁸ dollars. What is the total combined debt? = 2.8 × 10⁹ + 0.94 × 10⁹ = 3.74 × 10⁹ dollars  \n8. ) Country A has a debt of 2.8 × 10⁹ dollars. Country B has 9.4 ×  \n10⁸ dollars. How much more does Country A owe? = 2.8 × 10⁹ − 0.94 × 10⁹ = 1.86 × 10⁹ dollars  \n9. ) A computer performs 2.5 ×  \n10⁶ calculations per second. How many in one minute (60 seconds)? = 2.5 × 10⁶ × 6 × 10¹ = 1.5 × 10⁸ calculations  \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)  \n10. ) The mass of Earth is 5.97 × 10²⁴ kg. The Moon’s mass is 7.35 ×  \n10²² kg. About how many times more massive is Earth? = 5.97 × 10²⁴ ÷ 7.35 × 10²² ≈  \n81 times more massive  \n11. ) Light travels 9.5 × 10¹⁵","cbCaie1cUbqmea3n","https://ap.wps.com/l/cbCaie1cUbqmea3n","pdf",2530186,"English","# Part A: Write the value in scientific notation\n## Problems 1-4\n# Part B: Solve each word problem in scientific notation\n## Problems 5-16\n## Answer Key","[{\"question\":\"What does the worksheet require for final answers?\",\"answer\":\"All final answers must be written in scientific notation, and Part B requires showing work as well.\"},{\"question\":\"How does the worksheet distinguish operations like multiply and divide from the wording?\",\"answer\":\"It directs students to look for clues: add/subtract involves the same type being combined/compared; multiply uses rate × time or scaling up; divide is used for rate/ratio or how many fit.\"},{\"question\":\"What kinds of contexts appear in Part B?\",\"answer\":\"Part B includes comparing light and sound speeds, comparing lengths of a virus and bacterium, combining or subtracting national debt, converting calculations per second to per minute, and astronomy and biology scaling problems.\"}]","Scientific Notation Word Problems (A) - Part A and Part B Answers | PDF",1790137994]