Add Hundreds with an Exchange
Align the supplied place values and add from ones upward.
About 20 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: For 156+127, ones total thirteen: one ten and three ones.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Multi-digit addition joins matching units: ones with ones, tens with tens, hundreds with hundreds. When a place has ten or more groups, exchange ten for one group in the next place. Record the exchange so that no value is counted twice.
Align the supplied place values and add from ones upward. Rename ten ones or ten tens when needed. Recombine the final places and estimate using rounded tens to check that the total is reasonable.
Add the exchanged group into its new place. Regrouping preserves value; it does not create an extra amount. Use a place-value chart and show every exchange with an arrow.
- Use a place-value chart and show every exchange with an arrow.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Align the supplied place values and add from ones upward.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
For 156+127, ones total thirteen: one ten and three ones. Tens then total eight, including the exchanged ten. Hundreds total two. The result is 283. The extra ten came from the thirteen ones, so it must not remain counted in the ones column. Add the exchanged group into its new place. Regrouping preserves value; it does not create an extra amount. Use a place-value chart and show every exchange with an arrow.
Check your reasoning
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Helpful tips
- Add the exchanged group into its new place.
- Regrouping preserves value; it does not create an extra amount.
See the answer and explanation
274
Combine matching places and exchange each full ten in a place. The result is 274.
Take it further
Find 278+146. Expected: 424.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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