use brackets when necessary to make the statement true 5+6×7+8=95

To make the equation \( 5 + 6 \times 7 + 8 = 95 \) true, we need to adjust the order of operations using brackets. Without brackets, the original expression evaluates as:

\[
5 + (6 \times 7) + 8 = 5 + 42 + 8 = 55
\]

We need to find where brackets can be placed to achieve 95. One possible way is:

\[
(5 + 6) \times (7 + 8) = 11 \times 15 = 165
\]

This gives us 165, but we want 95, so let's keep adjusting. After experimenting with different bracket placements, the correct solution is:

\[
5 + 6 \times (7 + 8) = 5 + 6 \times 15 = 5 + 90 = 95
\]

Thus, the correct placement of brackets is:

\[
5 + 6 \times (7 + 8) = 95
\]

### Would you like more details on how this was derived, or have any further questions?

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Here are 5 related questions:

1. How does the order of operations affect mathematical expressions?
2. What are the rules for evaluating expressions with multiple operations?
3. How can the distributive property help simplify expressions like this one?
4. How does parentheses placement change the outcome in arithmetic problems?
5. Can you create a new equation by changing the numbers but keeping the structure?

**Tip:** Always remember PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to correctly solve equations.

Discover how to correctly place brackets in the arithmetic expression 5 + 6 × 7 + 8 = 95 to make it true. This problem focuses on the order of operations, teaching students the importance of parentheses placement in arithmetic. Ideal for Grades 5-7.

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