The image you uploaded is an educational poster about addition, specifically focusing on two scenarios:
addition without regrouping and
addition with regrouping. Let's break it down step by step:
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1. Addition Without Regrouping
####
Key Points:
- The poster states: "Adds up to 9, Everything is FINE!"
- This means that when adding numbers in a column, if the sum is
9 or less, no regrouping (carrying) is needed.
####
Example:
\[
\begin{array}{r}
34 \\
+ 25 \\
\hline
59 \\
\end{array}
\]
-
Step-by-Step:
1. Add the ones place: \(4 + 5 = 9\). Since 9 is less than 10, no regrouping is needed.
2. Add the tens place: \(3 + 2 = 5\).
3. The final answer is \(59\).
####
Explanation:
In this case, since the sum of each column does not exceed 9, we simply add the digits directly without carrying over any extra value to the next column.
---
2. Addition With Regrouping
####
Key Points:
- The poster states: "10 or more, take the extra and GO NEXT DOOR!"
- This means that when adding numbers in a column, if the sum is
10 or more, you need to
regroup (carry over) the extra digit to the next column.
####
Example:
\[
\begin{array}{r}
316 \\
+ 177 \\
\hline
493 \\
\end{array}
\]
-
Step-by-Step:
1. Add the ones place: \(6 + 7 = 13\). Since 13 is greater than 9, we write down the
3 in the ones place and carry over the
1 to the tens place.
2. Add the tens place: \(1 + 1 + 7 = 9\). Here, we include the carried-over 1 from the previous step.
3. Add the hundreds place: \(3 + 1 = 4\).
4. The final answer is \(493\).
####
Explanation:
In this case, when the sum of a column exceeds 9, we carry over the extra digit to the next higher place value. This process is called "regrouping" or "carrying."
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Summary of the Poster:
-
Without Regrouping: If the sum of a column is 9 or less, simply add the digits.
-
With Regrouping: If the sum of a column is 10 or more, write down the ones digit and carry over the tens digit to the next column.
This poster serves as a visual aid to help students understand the concept of regrouping in addition.
---
Final Answer:
\[
\boxed{\text{The poster explains addition with and without regrouping using examples.}}
\]
Parent Tip: Review the logic above to help your child master the concept of addition with regrouping anchor chart.