Solution: Step 1: Compute the product of -7 and 6. Thus, we have b = -1 - (-7 times 6). Step 2: Now, perform the subtraction of 42 from -1. Therefore, b = -1 - 42. Knowledge Notes: To solve the given equation for b, we follow basic arithmetic operations. Here's a detailed explanation of the knowledge points involved: 1. Multiplication of Negative Numbers: When multiplying a negative number by a positive number, the result is negative. In this case, -7 multiplied by 6 gives us -42. The multiplication operation is represented in LaTeX as -7 times 6. 2. Subtraction of Integers: When subtracting a larger positive number from a smaller negative number, the result is more negative. Here, subtracting 42 from -1 results in -43. The subtraction operation is represented in LaTeX as -1 - 42. 3. Order of Operations: According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before subtraction in the absence of parentheses indicating otherwise. 4. Equation Solving: The process of solving an equation involves finding the value of the unknown variable that makes the equation true. In this case, we are solving for b by performing the necessary arithmetic operations. 5. LaTeX Formatting: In the solution, LaTeX is used to format mathematical expressions. The multiplication is denoted by times, and the entire expression is enclosed within dollar signs to render it correctly. 6. Markdown Formatting: Titles in the solution are formatted using markdown syntax. The symbol is used to create a heading level 4, which is smaller than the main heading but still stands out from the regular text.

Solve for b b=-1-7*6

TE: This arithmetic problem asks you to perform a simple calculation to find the value of the variable 'b'. The equation provided is "b = -1 - 7 * 6". You are expected to follow the order of operations to solve for 'b'. To correctly determine the value of 'b', you must first multiply 7 by 6 and then subtract that product from -1.

$b = - 1 - 7 \cdot 6$

Answer

Expert–verified

Solution:

Step 1:

Compute the product of $-7$ and $6$. Thus, we have $b = -1 - (-7 \times 6)$.

Step 2:

Now, perform the subtraction of $42$ from $-1$. Therefore, $b = -1 - 42$.

Knowledge Notes:

To solve the given equation for $b$, we follow basic arithmetic operations. Here's a detailed explanation of the knowledge points involved:

Multiplication of Negative Numbers: When multiplying a negative number by a positive number, the result is negative. In this case, $-7$ multiplied by $6$ gives us $-42$. The multiplication operation is represented in LaTeX as $$-7 \times 6$$.
Subtraction of Integers: When subtracting a larger positive number from a smaller negative number, the result is more negative. Here, subtracting $42$ from $-1$ results in $-43$. The subtraction operation is represented in LaTeX as $$-1 - 42$$.
Order of Operations: According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before subtraction in the absence of parentheses indicating otherwise.
Equation Solving: The process of solving an equation involves finding the value of the unknown variable that makes the equation true. In this case, we are solving for $b$ by performing the necessary arithmetic operations.
LaTeX Formatting: In the solution, LaTeX is used to format mathematical expressions. The multiplication is denoted by $\times$, and the entire expression is enclosed within dollar signs to render it correctly.
Markdown Formatting: Titles in the solution are formatted using markdown syntax. The $####$symbol is used to create a heading level 4, which is smaller than the main heading but still stands out from the regular text.