Questions: Which equation shows the associative property of addition? - (7+8)+9=7+(8+9) - 2+8=8+2 - 8=0+8 - 5+0=5

Transcript text: nments - HMH Ed clever.com Math To Do, iReady xLI Properties of 21 My IXL Learning Assessment Analyt Which equation shows the associative property of addition? \[ \begin{array}{l} (7+8)+9=7+(8+9) \\ 2+8=8+2 \\ 8=0+8 \\ 5+0=5 \end{array} \] Submit Work it out Not feeling ready yet? These can help:

Solution

Solution Steps

Step 1: Identify the Associative Property of Addition

The associative property of addition states that the way in which numbers are grouped in an addition problem does not change the sum. In mathematical terms, for any numbers \(a\), \(b\), and \(c\), the property is expressed as:

\[ (a + b) + c = a + (b + c) \]

Step 2: Analyze Each Option

Let's analyze each given equation to determine which one demonstrates the associative property:

\((7+8)+9=7+(8+9)\): This equation is in the form \((a + b) + c = a + (b + c)\), which matches the associative property of addition.
\(2+8=8+2\): This equation demonstrates the commutative property of addition, not the associative property.
\(8=0+8\): This equation demonstrates the identity property of addition, not the associative property.
\(5+0=5\): This equation also demonstrates the identity property of addition, not the associative property.