astefan112
astefan112 astefan112
  • 24-02-2021
  • Mathematics
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Use properties of operations to determine whether 4r + 4t and 4(r+t) are equivalent. Explain your answer.

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r3t40
r3t40 r3t40
  • 24-02-2021

There is only one property used to determine whether

[tex]4r+4t=4(r+t)[/tex].

The property is called the distributive property and in a nutshell it states, [tex]a(b+c)=ab+ac[/tex], which means [tex]a[/tex] is distributed through [tex]b+c[/tex] using multiplication. So [tex]4(r+t)[/tex] says, distribute [tex]4[/tex] to [tex]r[/tex] and [tex]t[/tex] which then translates into [tex]4r+4t[/tex].

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