Chapter 3, Problem 6STP

To determine

Multiple Choices: Illustrated the property of the given statement.

Answer to Problem 6STP

An option ‘H’ is correct.

The given illustration is identity property.

Explanation of Solution

Commutative Properties: according to this when two or more numbers are multiplied in any order, the result is same.

For example: $a\times b\times c=c\times b\times a=b\times c\times a$

  $1\times 2\times 3=2\times 3\times 1=3\times 2\times 1=6$

Associative Properties: according to this when three or more numbers are multiplied, the result is same.

For example: $a\times \left(b\times c\right)=\left(a\times b\right)\times c$

  $1\times \left(2\times 3\right)=\left(1\times 2\right)\times 3=6$

Identity Properties: The product of any numbers with one is the number.

For example: $a\times 1=1$

  $\begin{array}{l}2\times 1=2\\ 5\times 1=5\end{array}$

Zero Properties: The product of any numbers with zero is zero.

For example: $a\times 0=0$

  $\begin{array}{l}2\times 0=0\\ 3\times 0=0\end{array}$

Given: $23\times 1=23$

Conclusion:

The given illustration is identity property.