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Chapter 1: Q. 1 BCYP (page 17)

Name the property used in each step:

7鈰�17+615梅3鈭�5=7鈰�17+65鈭�5_______=7鈰�17+60_______=1+60_______=1+0_______=1_______

Short Answer

Expert verified

7鈰�17+6(15梅3鈭�5)=7鈰�17+6(5鈭�5)Substitution炉15梅3=5=7鈰�17+6(0)AdditiveInverse炉5鈭�5=0=1+6(0)MultiplicativeInverse炉7鈰�17=1=1+0Multiplitionwithzero炉6(0)=0=1Substitution炉1+0=1

Step by step solution

01

– Given information.

Given expression is:

7鈰�17+615梅3鈭�5=7鈰�17+65鈭�5_______=7鈰�17+60_______=1+60_______=1+0_______=1_______

02

– Write the concept.

The substitution property for multiplication, addition and subtraction is:

a鈰�b=ca卤b=c

Property of multiplicative inverse is:

a鈰�1a=1

Property of additive inverse is:

a+鈭�a=0

03

– Write the property.

Since,

7鈰�17+615梅3鈭�5=7鈰�17+65鈭�5_______=7鈰�17+60_______=1+60_______=1+0_______=1_______

In 1st step,

15梅3=5(Substitution Property)

In 2nd step,

5+鈭�5=0(Property of Additive inverse)

In 3rd step,

7鈰�17=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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