Use brackets when necessary to make the statement true 5+7×8+9=105

To make the statement true, we need to use brackets in such a way that the order of operations (PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction) results in 105. 

Let's work with the given equation:

\[
5 + 7 \times 8 + 9 = 105
\]

Without brackets, the multiplication is done first, so:

\[
7 \times 8 = 56
\]
Then the equation becomes:
\[
5 + 56 + 9 = 70
\]

This doesn't give 105, so we need to add brackets.

After testing different placements of brackets, the correct placement is:

\[
5 + (7 \times (8 + 9)) = 105
\]

First, solve inside the parentheses:
\[
8 + 9 = 17
\]

Now multiply:
\[
7 \times 17 = 119
\]

Finally, add:
\[
5 + 119 = 105
\]

So, the correct equation with brackets is:

\[
5 + (7 \times (8 + 9)) = 105
\]

Would you like further details or explanations?

Here are 5 related questions for practice:
1. How would the equation change if you placed brackets around \(5 + 7\)?
2. What is the result of \(5 + 7 \times 8\) without any brackets?
3. Can you solve \(6 + 3 \times (4 + 5)\)?
4. How does the placement of brackets affect the result in an equation?
5. What is the result of \(8 + 9 \times 7\) if you follow the standard order of operations?

**Tip:** When solving expressions with multiple operations, always apply the order of operations (PEMDAS) unless brackets override it.

Learn how to correctly place brackets to make the equation 5 + 7×8 + 9 = 105 true. This problem uses key algebraic concepts such as the order of operations (PEMDAS) to solve step-by-step. Suitable for students in Grades 6-8.

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