The product of a number, x, and 0.28 is 13.44. Which equation matches this statement?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n The correct equation that matches the given statement is: 0.28x=13.440.28x = 13.44<\/p>\n\n\n\n The problem states: “The product of a number, x, and 0.28 is 13.44.”<\/em> Let’s break this sentence down carefully to understand the mathematical meaning behind it.<\/p>\n\n\n\n The word “product”<\/strong> in mathematics refers to the result of a multiplication<\/strong> operation. Therefore, when the problem says “The product of a number, x, and 0.28”<\/em>, it means we are multiplying x by 0.28.<\/p>\n\n\n\n So, we start with: Product=x\u00d70.28\\text{Product} = x \\times 0.28<\/p>\n\n\n\n The statement continues: “…is 13.44.”<\/em> The word “is”<\/strong> in math typically means equals<\/strong>. So, we replace \u201cis\u201d with the equal sign: x\u00d70.28=13.44x \\times 0.28 = 13.44<\/p>\n\n\n\n This is equivalent to: 0.28x=13.440.28x = 13.44<\/p>\n\n\n\n This equation matches the original sentence exactly, translating the language of the problem into a mathematical expression.<\/p>\n\n\n\n Let\u2019s check why this equation is valid. Suppose we want to find the value of xx. To solve the equation: 0.28x=13.440.28x = 13.44<\/p>\n\n\n\n We would divide both sides of the equation by 0.28: x=13.440.28=48x = \\frac{13.44}{0.28} = 48<\/p>\n\n\n\n If we multiply 48 by 0.28, we get: 48\u00d70.28=13.4448 \\times 0.28 = 13.44<\/p>\n\n\n\n This confirms the equation is correct.<\/p>\n\n\n\n The phrase “The product of a number, x, and 0.28 is 13.44”<\/em> directly translates to the equation 0.28x = 13.44<\/strong>. This is the accurate and complete representation of the given word problem in algebraic form.<\/p>\n","protected":false},"excerpt":{"rendered":" The product of a number, x, and 0.28 is 13.44. Which equation matches this statement? The correct answer and explanation is: Correct Answer: The correct equation that matches the given statement is: 0.28x=13.440.28x = 13.44 Explanation (300 words): The problem states: “The product of a number, x, and 0.28 is 13.44.” Let’s break this sentence […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-19118","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=19118"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19118\/revisions"}],"predecessor-version":[{"id":19120,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19118\/revisions\/19120"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Correct Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n
Step 1: Identify the Operation<\/h4>\n\n\n\n
Step 2: Set Up the Equation<\/h4>\n\n\n\n
Step 3: Why This Equation Is Correct<\/h4>\n\n\n\n
Conclusion:<\/h4>\n\n\n\n