Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
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 hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
