48÷2(9+3)=?
6√15(9×2+7)=?
Answers
Answer:
(i)
How do I solve 48÷2(9+3)?
Start your journey with a free Amazon gift voucher.
You evaluate the given numerical expression, 48÷2(9 + 3), by using the correct order of operations.
"Here is a summary of the ideas pertaining to simplifying numerical expressions. When evaluating a numerical expression, perform the operations in the following order.
(1.) Perform the operations inside the symbols of inclusion (parentheses, brackets, braces) and above and below each fraction bar. Start with the innermost inclusion symbol.
(2.) Perform all multiplications and divisions in the order in which they appear from left to right.
(3.) Perform all additions and subtractions in the order in which they appear from left to right." ¹
Therefore, using these rules, we evaluate the given numerical expression as follows:
48÷2(9 + 3) = 48÷2(12)
= 24(12)
= 288 is the result or final answer.
(ii)
Step-by-step explanation:
When it comes to problems like this I tend to rewrite them using the appropriate rules and synonyms
“How do I solve 48÷2(9+3) ?”
Division symbols are synonymous to fraction bars (In the number systems that matter to us here…)
⇒482×(9+3)
When multiplying fractions you can put whole numbers over 1. Same time, let’s reduce the first fraction.
⇒241×9+31
when multiplying fractions you multiply them straight across.
<Note when dividing fractions you can divide them straight across, but most times what we do is take the reciprocal of the divisor and multiply instead, since this second method will NOT result in fractions over fractions.>
⇒24(9+3)1
I like to avoid calculators, and I like to show my mental math too, so I see the 24 as 2 times 12, and the 9+3 turn to 12 as well
⇒(2)(12)(12)1
Reason I broke the 24 to 2 and 12 is multiplying 24 and 12 might be a bit annoying, so instead now I can multiply 12 and 12 (perfect squares are memorized generally up to at least 15) then Multiplying things by 2 is easy so :
⇒(2)(12)(12)=2(144)=288