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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
3.14 Word Problems - Negative Exponents

Example: Find the number to be multiplied (-6)-1, so as to get 7-1as the product?

Solution: Let x be the number to be multiplied to (-6)-1 so that the product equals 7-1.
Therefore (-6)-1 * x = 7-1.
-(1/6) * x = 1/7 (Since a-1 = 1/a)
Multiplying both sides with -6 we get,
-6 * -(1/6) * x = -6 * (1/7)
Therefore x = -6/7

Verification: Substitute x value in above we get,
-(1/6) * -6/7 = 1/7 = RHS.
Therefore LHS=RHS.

Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Find the number to be multiplied (-9)-1, so as to get 6-1as the product?
-3/2
3/2

 Q 2: Find the number to be multiplied (6)-1, so as to get 8-1as the product?
-3/4
3/4

Q 3: Find the number to be multiplied (-8)-1, so as to get 6-1as the product?
4/3
-4/3

 Q 4: Find the number to be multiplied (7)-1, so as to get 8-1as the product?
7/8
-7/8

Question 5: This question is available to subscribers only!

 Question 6: This question is available to subscribers only!


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