IDNLearn.com: Where your questions meet expert advice and community support. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.
Sagot :
[tex]\large{\underline{\underline{\textsf{\textbf{\purple{Solution \: : - }}}}}}[/tex]
[tex]\begin{gathered} \\ \\ \quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + 4 \div 2 \bigg] \div \bigg[8 \div \bigg( - 8 \bigg) + 4 \bigg]} \\ \\ \end{gathered}[/tex]
[tex]\red \divideontimes[/tex] According to the "BODMAS rule" firstly performing "division".
[tex]\begin{gathered} \\ \\ \quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + \dfrac{4}{2} \bigg] \div \bigg[ \dfrac{8}{ - 8} + 4 \bigg]} \\ \\ \end{gathered}[/tex]
[tex]\begin{gathered}\quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + \cancel{\dfrac{4}{2}} \bigg] \div \bigg[ \: \cancel{\dfrac{8}{ - 8}} + 4 \bigg]} \\ \\ \end{gathered}[/tex]
[tex]\begin{gathered}\quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + 2 \bigg] \div \bigg[ - 1 + 4 \bigg]} \\ \\ \end{gathered}[/tex]
[tex]\red \divideontimes[/tex] Now, performing "addition and opening round brackets".
[tex]\begin{gathered} \\ \\\quad\dashrightarrow{\sf \bigg[ - 17 + 2 \bigg] \div \bigg[ - 1 + 4 \bigg]} \\ \\ \end{gathered}[/tex]
[tex]\begin{gathered}\quad\dashrightarrow{\sf \bigg[ \: - 15 \: \: \bigg] \div \bigg[ \: \: 3\: \: \bigg]} \\ \\ \end{gathered}[/tex]
[tex]\red \divideontimes[/tex] Now, opening "square brackets".
[tex]\begin{gathered} \\ \\ \quad\dashrightarrow{\sf { - 15 \div 3}} \\ \\ \end{gathered}[/tex]
[tex]\red \divideontimes[/tex] Now, "dividing 15 by 3".
[tex]\begin{gathered}\\ \\ \quad\dashrightarrow{\sf {\dfrac{ - 15}{3} }} \\ \\ \end{gathered}[/tex]
[tex]\begin{gathered}\quad\dashrightarrow{\sf { \cancel{\dfrac{ - 15}{3}}}} \\ \\ \end{gathered}[/tex]
[tex]\begin{gathered}\quad\dashrightarrow{\underline{\underline{ \sf{\red{ - 5}}}}} \\ \\ \end{gathered}[/tex]
[tex]\begin{gathered}\bigstar{\underline{\boxed{\bf{\purple{Answer = - 5}}}}} \\ \\ \end{gathered}[/tex]
∴ The Answer is -5.
[tex]\begin{gathered}\end{gathered}[/tex]
[tex]\large{\underline{\underline{\textsf{\textbf{\purple{Learn More \: : - }}}}}}[/tex]
[tex]\underline{\underline{\pmb{\mathbb{\red{BODMAS \: :}}}}}[/tex]
BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.
It stands for :-
- ↠ B - Brackets,
- ↠ O - Order of powers or roots,
- ↠ D - Division,
- ↠ M - Multiplication
- ↠ A - Addition,
- ↠ S - Subtraction.
It means that expressions having multiple operators need to be simplified from left to right in this order only.
[tex]\rule{200}2[/tex]
[tex]\underline{\underline{\pmb{\mathbb{\red{BODMAS \: RULE \: :}}}}}[/tex]
First, we solve brackets, then powers or roots, then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.
- ↠ Addition (+)
- ↠ Subtraction (-)
- ↠ Multiplication (×)
- ↠ Division (÷)
- ↠ Brackets ( )
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Answer:
-7.5
Step-by-step explanation:
[tex] |( - 17) + 4 \div 2| \div |8 \div ( - 4) + 4| \\ | - 17 + 2| \div | - 2 + 4| \\ - 15 \div2 \\ - 7.5[/tex]
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.