6th Grade Math Textbook, Progress

^34 
and 
^43 
are reciprocals.

10 
^110 

^1

1

(^0)


1
1
0


1

^110

110

^11
 1
1
Two numbers with a product of 1 are called
reciprocals or multiplicative inverses of each other.
11

^3
4


^4
3


^3
4


^4
3


^1
1

 1
11
1
6  
^11
 1
To find the reciprocal of a number:

Write the number as a fraction.

Invertthe fraction by exchanging
the position of the numerator
and the denominator.

Check. Multiply the reciprocals to
verify that their product is 1.
1
6
6
1
1
6 6 and are reciprocals.
1
6
10 and are
reciprocals.
1
10
Inverse Property of Multiplication ab ba 1, where a, b0.
Write the reciprocal of each number.

9. 15 10. 9 11.
   ^17
   12.
   ^1112
   13.
   ^74
   14.
   ^152
   

Explain how using properties or reciprocals can make these

computations easier. Then compute.

15. 
    ^35
     14 
    ^12
    16.
    ^34
    
    172
     0 17.(
    ^14
    
    ^78
    ) 16


16. (46
    ^19
    ) 9 19.
    ^78
    (
    ^87
    33) 20.
    ^45
    (9
    ^54
    )


17. 
    ^57
    
    ^58
    
    ^1245
    22. 14 
    ^115
    ^4  15 23.
    ^37
     9  21


18. Explain in your Math Journal why:
    a. 0 does not have a reciprocal. b.1 has itself as its reciprocal.

Reciprocals (Multiplicative Inverses)

1

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