Pregunta
What is an expression that shows the Associative Property has been applied to \( (6+8)+4 \) ? (1 point, \( 6+\square+\square \) Check answer Remaining Attempts : 1 View previous attempt
Ask by Chambers Wright. in the United States
Feb 03,2025
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An expression showing the Associative Property for \( (6 + 8) + 4 \) is \( 6 + 8 + 4 \).
Solución
An expression that shows the Associative Property applied to \( (6 + 8) + 4 \) is:
\[ 6 + 8 + 4 \]
So, filling in the blanks:
\[ 6 + \boxed{8} + \boxed{4} \]
This demonstrates the regrouping of the numbers without changing the order, which is the essence of the Associative Property.
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Bonus Knowledge
The expression showing the Associative Property applied to \( (6+8)+4 \) can be rewritten as \( 6+(8+4) \). This property allows us to regroup the numbers being added without changing the sum. So, if we add \( 8 \) and \( 4 \) first, we can express it as \( 6+\square+\square \) with \( \square = 8 \) and \( \square = 4 \). Now, if you want to showcase a different arrangement using number 6, you could say \( (6+12) \) as well since \( 8 + 4 = 12\). It emphasizes that no matter how we group the numbers in addition, the final result stays the same!
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