Answer: " 80 " ; that is, the number: "eighty."
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Explanation:
Note the order of operations:
PE MD AS ;
Please Excuse My Dear Aunt Sally.
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in which:
Parentheses are the first priority; if they occur.
then:
Exponents are the second priority if they occur.
followed by:
Multiplication and
Division; if any of these occur; and the priority is from the left-hand side to the right-hand side—if they occur. So; multiplication does not necessarily take priority over division. Rather, "Multiplication and Division" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur;
followed by:
Addition and
Subtraction; of any of these occur; and the priority is from the 'left-hand side to the right-hand side—if they occur. So; addition does not necessarily take priority over subtraction. Rather, "Addition and Subtraction" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur.
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So: For our given problem; we can solve:
" 8(6 + 4) " ; which is the same as:
" 8 * (6 + 4) ";
We have a "multiplication" and a "parentheses" ;
So: The "parentheses" take first priority:
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"(6 + 4) = 10 " ;
now: " 8 * (6 + 4) " ;
= 8 * 10 = 80 ; which is our answer:
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Alternate method:
Note the distributive property of multiplication:
→ a(b + c) = ab + ac ;
So: 8 (6 + 4) = (8*6) + (8*4) ;
= 48 + 32;
= 80 ; which is our correct answer!
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Hope this answer was helpful to you!
Please reply if you have any questions! Wishing you well!
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