Question

Find each of the following quotients to detect a pattern. Then explain how you can use this pattern to mentally divide 0.0096 by 3.

A. 0.0032, Divide 0.0096 by 3
B. 0.0016, Multiply 0.0096 by 2 and divide by 3
C. 0.0024, Multiply 0.0096 by 2 and divide by 4
D. 0.0048, Divide 0.0096 by 2

Answer 1

To detect a pattern in the given quotients, we can multiply and divide 0.0096 by factors based on the given options. The pattern observed can be used to mentally divide 0.0096 by 3 by multiplying 0.0096 by 2 and then dividing by 4.

Step-by-step explanation:

To detect a pattern in the given quotients, we can divide 0.0096 by 3 following the instructions given for each option:

A. 0.0032: Divide 0.0096 by 3.

B. 0.0016: Multiply 0.0096 by 2 and then divide by 3.

C. 0.0024: Multiply 0.0096 by 2 and then divide by 4.

D. 0.0048: Divide 0.0096 by 2.

By observing the quotients, we can see a pattern. Each quotient is obtained by multiplying 0.0096 by a factor and then dividing it by another factor. In option A, we divide by 3 directly. In option B and C, we multiply by 2 and then divide by a factor. In option D, we divide by 2. So, to mentally divide 0.0096 by 3, we can multiply 0.0096 by 2 and then divide by 4.