Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To simplify the expression [tex]\( 19 - \{8 + 27 \div (2 \times 8 - 7)\} \)[/tex], we need to follow a series of steps, working from the innermost parentheses to the outermost parts of the expression.
Let's go step by step:
1. Evaluate the expression inside the innermost parentheses:
[tex]\[ 2 \times 8 - 7 \][/tex]
First, we'll perform the multiplication:
[tex]\[ 2 \times 8 = 16 \][/tex]
Then, subtract 7:
[tex]\[ 16 - 7 = 9 \][/tex]
So, [tex]\( 2 \times 8 - 7 \)[/tex] simplifies to 9.
2. Evaluate the division with the result obtained from the parentheses:
[tex]\[ 27 \div 9 \][/tex]
Dividing 27 by 9 gives:
[tex]\[ 27 \div 9 = 3 \][/tex]
3. Now, evaluate the expression inside the braces:
[tex]\[ 8 + 3 \][/tex]
Adding 8 and 3 together gives:
[tex]\[ 8 + 3 = 11 \][/tex]
4. Finally, evaluate the outermost expression:
[tex]\[ 19 - 11 \][/tex]
Subtracting 11 from 19 gives:
[tex]\[ 19 - 11 = 8 \][/tex]
Thus, the simplified result of the given expression [tex]\( 19 - \{8 + 27 \div (2 \times 8 - 7)\} \)[/tex] is [tex]\( 8 \)[/tex].
Let's go step by step:
1. Evaluate the expression inside the innermost parentheses:
[tex]\[ 2 \times 8 - 7 \][/tex]
First, we'll perform the multiplication:
[tex]\[ 2 \times 8 = 16 \][/tex]
Then, subtract 7:
[tex]\[ 16 - 7 = 9 \][/tex]
So, [tex]\( 2 \times 8 - 7 \)[/tex] simplifies to 9.
2. Evaluate the division with the result obtained from the parentheses:
[tex]\[ 27 \div 9 \][/tex]
Dividing 27 by 9 gives:
[tex]\[ 27 \div 9 = 3 \][/tex]
3. Now, evaluate the expression inside the braces:
[tex]\[ 8 + 3 \][/tex]
Adding 8 and 3 together gives:
[tex]\[ 8 + 3 = 11 \][/tex]
4. Finally, evaluate the outermost expression:
[tex]\[ 19 - 11 \][/tex]
Subtracting 11 from 19 gives:
[tex]\[ 19 - 11 = 8 \][/tex]
Thus, the simplified result of the given expression [tex]\( 19 - \{8 + 27 \div (2 \times 8 - 7)\} \)[/tex] is [tex]\( 8 \)[/tex].
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.