Math  /  Numbers & Operations

QuestionVideo (b)
Complete the expressions and select the missing property. Write each answer as a number, a variable, or the product of a number and a variable. \begin{tabular}{|l|l|} & p+p+pp+p+p \\ == & 1p+p+1p1 p+\square p+1 p \\ == & Identity property of multiplication \\ == & p\square p \\ \square & Add \end{tabular}

Studdy Solution

STEP 1

1. The expression involves the addition of the same variable p p multiple times.
2. We need to complete the expressions and identify the missing property.
3. The identity property of multiplication states that any number multiplied by 1 remains unchanged.

STEP 2

1. Simplify the expression.
2. Identify the missing property.
3. Complete the expressions.

STEP 3

Simplify the expression p+p+p p + p + p .
Since we are adding the same variable p p three times, we can express this as:
3p 3p

STEP 4

Identify the missing property.
The identity property of multiplication states that multiplying any number by 1 gives the number itself. In this context, it means that:
1p+1p+1p=3p 1p + 1p + 1p = 3p

STEP 5

Complete the expressions in the table.
1. The expression p+p+p p + p + p can be rewritten as:
1p+1p+1p 1p + 1p + 1p
2. Using the identity property of multiplication, we can write:
3p 3p
3. The missing property is the identity property of multiplication, which confirms that:
1×p=p 1 \times p = p
4. The final expression is:
3p 3p
The completed expressions and property identification are:
\begin{tabular}{|l|l|} & p+p+p \\ = & 1p + 1p + 1p \\ = & Identity property of multiplication \\ = & 3p \\ \end{tabular}

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