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(2+7m)+5

2 min read Jun 16, 2024
(2+7m)+5

Simplifying the Expression (2 + 7m) + 5

This article will guide you through simplifying the expression (2 + 7m) + 5. We will use the order of operations and the distributive property to reach the simplest form of the expression.

Understanding the Order of Operations

The order of operations, often remembered by the acronym PEMDAS or BODMAS, dictates the order in which operations are performed in a mathematical expression:

  • Parentheses / Brackets
  • Exponents / Orders
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Simplifying the Expression

  1. Identify the parentheses: Our expression has parentheses: (2 + 7m).

  2. Apply the distributive property (if needed): In this case, there's no multiplication outside the parentheses, so we can simply remove them.

  3. Combine like terms: We have two constant terms, 2 and 5. Combining them gives us 7.

Therefore, the simplified expression is 7 + 7m.

Conclusion

By applying the order of operations and combining like terms, we have successfully simplified the expression (2 + 7m) + 5 to 7 + 7m. This is the simplest form of the expression, as it cannot be further simplified.

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