Forums
New posts
Search forums
What's new
New posts
New media
New media comments
Latest activity
Classifieds
Media
New media
New comments
Search media
Log in
Register
What's New?
Search
Search
Search titles only
By:
New posts
Search forums
Menu
Log in
Register
Navigation
Install the app
Install
More Options
Advertise with us
Contact Us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
The Water Cooler
General Discussion
48÷2(9+3) =
Search titles only
By:
Reply to Thread
This site may earn a commission from merchant affiliate links, including eBay, Amazon, and others.
Message
<blockquote data-quote="swampratt" data-source="post: 2471654" data-attributes="member: 15054"><p>I will not read it all but there is sometimes more than one choice in some math problems..</p><p> Solution</p><p>The reason different calculators offer different answers to the equation depends on how the machine interprets the order of operations. Most calculators follow the traditional order, completing expressions within brackets before anything else, resulting in an answer of 288, as determined by WolframAlpha[17] and Google.[18] In this case, the problem is solved as follows:</p><p>48 ÷ 2(9+3)=</p><p>48 ÷ 2(12)=</p><p>(48 ÷ 2)(12)=</p><p>24 * 12=</p><p>288</p><p>However, others will follow PEMDAS, a mnemonic term that stands for Parentheses, Exponentiation, Multiplication, Division, Addition and Subtraction. By this logic, multiplication must take place before division, resulting in solving the problem as follows:</p><p>48 ÷ 2(9+3)=</p><p>48 ÷ 2(12)=</p><p>48 ÷ 24=</p><p>2</p><p>Order of Operations and PEMDAS are not the only rules that can be applied to complete the equation. If one applies the distributive property, which requires numbers outside of an equation in parentheses be multiplied to each number in the enclosed equation separately, both results of 2 and 288 can be observed, depending on whether or not the division takes place first.</p><p>48 ÷ 2(9+3)=</p><p>48 ÷ (2(9)+2(3))= (distributive property)</p><p>48 ÷ (18 + 6)=</p><p>48 ÷ 24=</p><p>2</p><p>48 ÷ 2(9+3)=</p><p>(48 ÷ 2)(9+3)=</p><p>24(9 + 3)=</p><p>24(9) + 24(3)= (distributive property)</p><p>216 + 72</p><p>288</p><p>There is also an argument[15] that implied multiplication, as seen in the algebraic phrase 2x takes precedence over explicit multiplication using the x symbol. For example, in the problem 2/5x, the implicit multiplication suggested by 5x would come before the explicit division of 2/5. Following this logic, the equation can be solved as follows:</p><p>48 ÷ 2(9+3)=</p><p>48 ÷ 2(12)=</p><p>48 ÷ 24=</p><p>2</p><p>The final approach suggests the obelus, the term for the symbol ÷, represents the division of all terms preceding it by all terms after it[20][21], separating the two components of the equation at hand. Using this interpretation, the equation is solved like so:</p><p>48 ÷ 2(9+3)=</p><p>(48) ÷ (2(9+3))=</p><p>(48) ÷ (2(12))</p><p>(48) ÷ (24)</p><p>2</p></blockquote><p></p>
[QUOTE="swampratt, post: 2471654, member: 15054"] I will not read it all but there is sometimes more than one choice in some math problems.. Solution The reason different calculators offer different answers to the equation depends on how the machine interprets the order of operations. Most calculators follow the traditional order, completing expressions within brackets before anything else, resulting in an answer of 288, as determined by WolframAlpha[17] and Google.[18] In this case, the problem is solved as follows: 48 ÷ 2(9+3)= 48 ÷ 2(12)= (48 ÷ 2)(12)= 24 * 12= 288 However, others will follow PEMDAS, a mnemonic term that stands for Parentheses, Exponentiation, Multiplication, Division, Addition and Subtraction. By this logic, multiplication must take place before division, resulting in solving the problem as follows: 48 ÷ 2(9+3)= 48 ÷ 2(12)= 48 ÷ 24= 2 Order of Operations and PEMDAS are not the only rules that can be applied to complete the equation. If one applies the distributive property, which requires numbers outside of an equation in parentheses be multiplied to each number in the enclosed equation separately, both results of 2 and 288 can be observed, depending on whether or not the division takes place first. 48 ÷ 2(9+3)= 48 ÷ (2(9)+2(3))= (distributive property) 48 ÷ (18 + 6)= 48 ÷ 24= 2 48 ÷ 2(9+3)= (48 ÷ 2)(9+3)= 24(9 + 3)= 24(9) + 24(3)= (distributive property) 216 + 72 288 There is also an argument[15] that implied multiplication, as seen in the algebraic phrase 2x takes precedence over explicit multiplication using the x symbol. For example, in the problem 2/5x, the implicit multiplication suggested by 5x would come before the explicit division of 2/5. Following this logic, the equation can be solved as follows: 48 ÷ 2(9+3)= 48 ÷ 2(12)= 48 ÷ 24= 2 The final approach suggests the obelus, the term for the symbol ÷, represents the division of all terms preceding it by all terms after it[20][21], separating the two components of the equation at hand. Using this interpretation, the equation is solved like so: 48 ÷ 2(9+3)= (48) ÷ (2(9+3))= (48) ÷ (2(12)) (48) ÷ (24) 2 [/QUOTE]
Insert Quotes…
Verification
Post Reply
Forums
The Water Cooler
General Discussion
48÷2(9+3) =
Search titles only
By:
Top
Bottom