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Evaluate expressions with addition and subtraction

This understanding involves interpreting a numerical expression as a compact representation of operations and finding its value by applying addition and subtraction to whole numbers, including expressions with parentheses or other grouping symbols when present. The learner preserves indicated grouping, uses place-value reasoning, and recognizes that subtraction cannot be rearranged in the same way as addition; the scope excludes variables, negative numbers, and order-of-operations cases involving multiplication or division.

Detailed Explanation: Evaluate expressions with addition and subtraction

A numerical expression is a short way to show calculations. To evaluate an expression:

  1. Complete any calculation inside parentheses first.
  2. Then add or subtract from left to right.
  3. Use place value to line up ones, tens, and hundreds.
  4. Do not switch the order of numbers in a subtraction.

Example:

700−(238+142)+95700-(238+142)+95

Step 1: Evaluate the parentheses.

Add 238238 and 142142:

238+142380\begin{array}{r} 238\\ + 142\\ \hline 380 \end{array}

Now the expression is:

700−380+95700-380+95

Step 2: Subtract from left to right.

700−380=320700-380=320

Now the expression is:

320+95320+95

Step 3: Add.

320+95=415320+95=415

Therefore,

700−(238+142)+95=415700-(238+142)+95=\boxed{415}

Remember: the parentheses tell you to add 238238 and 142142 first. Also, subtraction cannot be rearranged. For example, 700−380700-380 is not the same as 380−700380-700.

Learn by doing: Evaluate expressions with addition and subtraction

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    Order of Operations - Add, Subtract with Parentheses (3 Numbers)

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