mackwolf7014 mackwolf7014
  • 11-01-2020
  • Computers and Technology
contestada

For how many integer values of $n$ between 1 and 1000 inclusive does the decimal representation of $\frac{n}{1400}$ terminate?

Respuesta :

aaregbe
aaregbe aaregbe
  • 11-01-2020

Answer:

142 integers

Explanation:

For the given expression "n/1400", there exists a terminating expansion if and on if 2 and 5 are in the denominator. Therefore:

The denominator "1400" can be broken down into (2^3)*(5^2)*7. Then we need a number that can be divided by 7 and is between 1 and 1000. The number is 994 and the number of possible integer values = 994/7 = 142.

Answer Link

Otras preguntas

If the volume of a cube is 27 cubic meters, find the surface area of the cube
If a rock is sitting in the dirt, the normal force from the ground and BLANK are acting on it plz help
When you whisper, you produce a 10-dB sound. a. When you speak quietly, your voice sounds twice as loud as a whisper. How many decibels is this? b. When you spe
If 2x^2 + 6x = 36, what are the possible values of x ?
Explain why sedimentary rocks are found as a veneer covering large areas of the continental igneous rocks
in a given training week a swimmer completes 1/4 mile on day one 2/5 mile on day two    and 3/7 mile on day three,,
Round 1.0649 to the nearest thousandth
Calculate the average speed of a bicycle that travels 100m in 20 s.
What is the simplest form of the fraction 4/10
If the potential energy and the kinetic energy are not the same, where did the leftover energy go?