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Question 1

Section B: Numbers, Operations, and Relationships

State whether each of the following statements is true or false.

\begin{tabular}{|l|l|}
\hline
[tex]$0 \div 86 = 86 \div 0$[/tex] & false \\
\hline
[tex]$10 + (5 + 12) = (10 + 5) + 12$[/tex] & true \\
\hline
\end{tabular}

Simplify the following. Show all your calculations.

[tex]$(15 + 20) \div 7 - 2$[/tex]

[tex]\[ \boxed{1.2} \][/tex]



Answer :

GinnyAnswer
To simplify the expression [tex]\( (15 + 20) \div 7 - 2 \)[/tex], we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Here is the step-by-step solution:

1. Parentheses: First, we simplify the expression inside the parentheses.
[tex]\[ 15 + 20 = 35 \][/tex]

2. Division: Next, we divide the result of the addition by 7.
[tex]\[ 35 \div 7 = 5.0 \][/tex]

3. Subtraction: Finally, we subtract 2 from the result of the division.
[tex]\[ 5.0 - 2 = 3.0 \][/tex]

So, the simplified value of the expression [tex]\( (15 + 20) \div 7 - 2 \)[/tex] is [tex]\( 3.0 \)[/tex].

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