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Name the property used in each step:

717+615÷35=717+655_______=717+60_______=1+60_______=1+0_______=1_______

Short Answer

Expert verified

717+6(15÷35)=717+6(55)Substitution¯15÷3=5=717+6(0)AdditiveInverse¯55=0=1+6(0)MultiplicativeInverse¯717=1=1+0Multiplitionwithzero¯6(0)=0=1Substitution¯1+0=1

Step by step solution

01

– Given information.

Given expression is:

717+615÷35=717+655_______=717+60_______=1+60_______=1+0_______=1_______

02

– Write the concept.

The substitution property for multiplication, addition and subtraction is:

ab=ca±b=c

Property of multiplicative inverse is:

a1a=1

Property of additive inverse is:

a+a=0

03

– Write the property.

Since,

717+615÷35=717+655_______=717+60_______=1+60_______=1+0_______=1_______

In 1st step,

15÷3=5(Substitution Property)

In 2nd step,

5+5=0(Property of Additive inverse)

In 3rd step,

717=1(Property of multiplicative inverse)

In 4th step,

60=0(Multiplication with 0)

In 5th step,

1+0=1(Substitution Property)

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