^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.
- 15 10. 9 11. ^17 12.^1112 13.^74 14. ^152
Explain how using properties or reciprocals can make these
computations easier. Then compute.
- ^35 14 ^12 16. ^34 172 0 17.(^14 ^78 ) 16
- (46^19 ) 9 19. ^78 (^87 33) 20.^45 (9^54 )
- ^57 ^58 ^1245 22. 14 ^115 ^4 15 23.^37 9 21
- 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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