The required property for the given statement is multiplication property of equality.
Given:
The given statement is "if [tex]a=42[/tex], then [tex]6a=252[/tex]".
To find:
The property for the given statement.
Solution:
Multiplication property of equality: Let [tex]a,b,c[/tex] are real numbers.
If [tex]a=b[/tex], then [tex]ac=bc[/tex].
We have,
[tex]a=42[/tex]
Using the multiplication property of equality, multiplying both sides by 6.
[tex]6\cdot a=6\cdot 42[/tex]
On simplification, we get
[tex]6a=252[/tex]
Therefore, the required property for the given statement is multiplication property of equality.
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