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.
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When a problem has more than one step:
Example:
Maya has 125.75$48.60$72.58$. How much money is in her account now?
Step 1: Find the amount after the deposit.
The deposit increases the account, so add:
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:
Subtract carefully, regrouping when needed:
174.35
- 72.58
---------
101.77
For example, regroup to subtract hundredths from hundredths, and regroup again to subtract tenths from tenths.
Answer:
Check the answer by estimating:
Since 101.77$102$, the answer is reasonable.
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