A single arithmetic expression: 15 \u00f7 5 \u00d7 3 \u2212 9
\nNo parentheses, no fraction bar\u2014just division, multiplication, and subtraction in a row
\nThe Name Behind the \u201cRule\u201d: Order of Operations (PEMDAS\/BODMAS)
\nThis problem is really about the Order of Operations, often taught using mnemonics such as:<\/p>\n
PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
\nBODMAS\/BIDMAS: Brackets, Orders, Division, Multiplication, Addition, Subtraction
\nImportant clarification: Multiplication and division share the same priority, and so do addition and subtraction. That means you calculate left to right within each priority level.<\/p>\n
When It Was \u201cCreated\u201d and Who Made It<\/p>\n
Name: The convention is known as the order of operations (mnemonics came later).
\nTime of adoption: It evolved over centuries as algebraic notation developed and was later standardized in textbooks to avoid ambiguity.
\nCreator: There is no single inventor; it\u2019s a shared mathematical convention refined and adopted by educators and mathematicians over time.
\nPurpose (what it\u2019s for): To ensure that an expression like 15 \u00f7 5 \u00d7 3 \u2212 9 is interpreted the same way by everyone, preventing multiple \u201ccorrect\u201d answers.
\nStep-by-Step: The Correct Evaluation
\nUsing the standard order of operations:<\/p>\n
Handle multiplication and division from left to right
\n15 \u00f7 5 = 3
\n3 \u00d7 3 = 9
\nThen handle subtraction
\n9 \u2212 9 = 0
\nFinal Answer: 0<\/p>\n
Why People Disagree About This Expression
\nConfusion usually comes from one (or both) of these issues:<\/p>\n
Mistaking \u201c\u00d7 before \u00f7\u201d as a rule
\nIn reality, \u00d7 and \u00f7 are equal priority; you go left to right.
\nTreating \u201c15 \u00f7 5 \u00d7 3\u201d like a hidden fraction
\nIf someone mentally rewrites it as 15 \u00f7 (5 \u00d7 3), they\u2019ll get a different result\u2014but that introduces parentheses that are not present in the original expression.
\nHow to Make It Unambiguous (Best Practice)
\nIf you\u2019re writing math for others (or for a test), clarity matters. These rewrites remove confusion:<\/p>\n
If you mean left-to-right:
\n(15 \u00f7 5) \u00d7 3 \u2212 9
\nIf you mean divide by the product:
\n15 \u00f7 (5 \u00d7 3) \u2212 9
\nOr use a clear fraction bar:
\n15 \/ (5 \u00d7 3) \u2212 9
\nKey Takeaway<\/p>\n
Multiplication and division are evaluated left to right.
\nFor 15 \u00f7 5 \u00d7 3 \u2212 9, the correct result under standard conventions is 0.<\/p>\n","protected":false},"excerpt":{"rendered":"
A single arithmetic expression: 15 \u00f7 5 \u00d7 3 \u2212 9 No parentheses, no fraction bar\u2014just division, multiplication, and subtraction in a row The Name Behind the… <\/p>\n","protected":false},"author":1,"featured_media":38558,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[6],"tags":[],"class_list":["post-38557","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"_links":{"self":[{"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/posts\/38557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38557"}],"version-history":[{"count":1,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/posts\/38557\/revisions"}],"predecessor-version":[{"id":38559,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/posts\/38557\/revisions\/38559"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=\/wp\/v2\/media\/38558"}],"wp:attachment":[{"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thedailyglow.fun\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}