Skill: Solve multi-step addition and subtraction problems

Explanation and Free Practice Resources

This understanding involves interpreting a problem with two or more related addition or subtraction steps, identifying what each quantity represents, and choosing an order of operations that preserves the context. Learners represent relationships with equations, bar models, or labeled number lines; accurately add and subtract multi-digit whole numbers and decimals through hundredths, including regrouping, and check whether results are reasonable. The scope excludes negative numbers and more general algebraic manipulation.

Detailed Explanation: Solve multi-step addition and subtraction problems

When a problem has more than one step:

  1. Identify what each number represents.
  2. Decide which action happens first.
  3. Write an equation for each step.
  4. Line up decimal points when adding or subtracting.
  5. Check that the answer is reasonable.

Example:
Maya has 125.75inhersavingsaccount.Shedepositsin her savings account. She deposits$48.60andthenwithdrawsand then withdraws$72.58$. How much money is in her account now?

Step 1: Find the amount after the deposit.

The deposit increases the account, so add:

125.75+48.60125.75+48.60

Line up the decimal points:

  125.75
+  48.60
---------
  174.35

Maya has 174.35$ after the deposit.

Step 2: Subtract the withdrawal.

The withdrawal decreases the account:

174.35−72.58174.35-72.58

Subtract carefully, regrouping when needed:

  174.35
-  72.58
---------
  101.77

For example, regroup to subtract 88 hundredths from 55 hundredths, and regroup again to subtract 55 tenths from 22 tenths.

Answer:

$101.77\boxed{\$101.77}

Check the answer by estimating:

126+49−73≈102126+49-73\approx 102

Since 101.77isclosetois close to$102$, the answer is reasonable.

Learn by doing: Solve multi-step addition and subtraction problems

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Subtraction - Missing Value, 3 Digit, 3 Numbers


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