Evaluate the expression. 7.2 + 6.3(5.4 \u2013 6)<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Let’s evaluate the expression step by step:<\/p>\n\n\n\n Expression:<\/strong> Calculate the value inside the parentheses first: 5.4\u22126=\u22120.65.4 – 6 = -0.6<\/p>\n\n\n\n Now multiply 6.3 by the result from Step 1: 6.3\u00d7(\u22120.6)=\u22123.786.3 \\times (-0.6) = -3.78<\/p>\n\n\n\n Finally, add 7.2 to the product from Step 2: 7.2+(\u22123.78)=7.2\u22123.78=3.427.2 + (-3.78) = 7.2 – 3.78 = 3.42<\/p>\n\n\n\n 3.42\\boxed{3.42}<\/p>\n\n\n\n When evaluating mathematical expressions, it is important to follow the order of operations<\/strong>, often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).<\/p>\n\n\n\n Here, the expression involves addition and multiplication, with a subtraction inside parentheses. According to the order of operations, we first simplify the expression inside the parentheses: 5.4\u221265.4 – 6. Subtraction here yields \u22120.6-0.6.<\/p>\n\n\n\n Next, multiplication must be done before addition. We multiply 6.3 by \u22120.6-0.6, which results in \u22123.78-3.78. Multiplying a positive number by a negative number results in a negative product, hence the negative sign.<\/p>\n\n\n\n Finally, we add 7.2 to the product \u22123.78-3.78. Addition of a negative number is equivalent to subtraction, so this becomes 7.2\u22123.787.2 – 3.78, which equals 3.42.<\/p>\n\n\n\n Understanding how to apply the order of operations ensures accurate results. Mistakes commonly occur if one tries to perform addition before multiplication or ignores the parentheses, leading to incorrect answers.<\/p>\n\n\n\n This expression also shows the importance of handling decimal numbers carefully, ensuring precise arithmetic to get the right answer.<\/p>\n\n\n\n In summary, by following the proper steps\u2014simplify parentheses, multiply, then add\u2014we correctly evaluate the expression as 3.42.<\/p>\n","protected":false},"excerpt":{"rendered":" Evaluate the expression. 7.2 + 6.3(5.4 \u2013 6) The correct answer and explanation is: Let’s evaluate the expression step by step: Expression:7.2+6.3(5.4\u22126)7.2 + 6.3(5.4 – 6) Step 1: Evaluate the parentheses Calculate the value inside the parentheses first: 5.4\u22126=\u22120.65.4 – 6 = -0.6 Step 2: Multiply Now multiply 6.3 by the result from Step 1: […]<\/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-21011","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21011","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=21011"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21011\/revisions"}],"predecessor-version":[{"id":21012,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21011\/revisions\/21012"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
7.2+6.3(5.4\u22126)7.2 + 6.3(5.4 – 6)<\/p>\n\n\n\n
\n\n\n\nStep 1: Evaluate the parentheses<\/h3>\n\n\n\n
\n\n\n\nStep 2: Multiply<\/h3>\n\n\n\n
\n\n\n\nStep 3: Add<\/h3>\n\n\n\n
\n\n\n\nFinal answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words)<\/h2>\n\n\n\n