Question

Without actual division, show that each of the following rational numbers is a terminating
decimal Express eachh in decimal form
1. 171/800
2. 17/320

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Answer 1

Answer:

1. 171/2⁵×5² => 171×5³/2⁵×5⁵ = 21357/100000 = 0.21357

2. 17/2⁶×5 => 17×5⁶/2⁶×5⁶ = 5312/100000 = 0.05312

Step-by-step explanation:

1. We know either 2 or 5 is not a factor of 171, so it is in its simplest form. Moreover, it is in the form of (2m × 5n ). Hence, the given rational is terminating.

2. We know either 2 or 5 is not a factor of 17, so it is in its simplest form. Moreover, it is in the form of (2m × 5n ). Hence, the given rational is terminating.