1 answer

How many rational numbers are there between -1/10,000 and -1/20,000 ?

Question:

How many rational numbers are there between -1/10,000 and -1/20,000 ?

Answers

An infinite number

Explanation:

To understand why, let's think about these two fractions this way - let's first just look at the fractions as they are and see what denominators we think we can squeeze in:

#-1/10000 and -1/20000#

And so it looks like we can list out the fractions #-1/10001# all the way to #-1/19999# and that's it. But we can in fact squeeze in a lot more. Let's increase the denominators by a factor of, say, 1,000,000:

#-1/10000(1) and -1/20000(1)#

#-1/10000(1000000/1000000) and -1/20000(1000000/1000000)#

#-1000000/10000000000 and -1000000/20000000000#

and so from appearances, I can list the fractions #-1000000/ 10000000001# all the way to #-1000000/19999999999# - which is a lot of numbers!

But we can multiply by another factor, say another million, or more! and go through this process again and again and again. Infinitely many times.

.

Similar Solved Questions

1 answer
A mass of 2 kilograms is placed on a horizontal frictionless surface against an uncompressed spring...
A mass of 2 kilograms is placed on a horizontal frictionless surface against an uncompressed spring with spring constant 943.4 N/m. The inclined portion of the surface makes at an angle of 30 degrees to the horizontal and has a coefficient of kinetic friction of 0.16 with the mass. The mass is pushe...
1 answer
Find a plane containing the point (-7,4,8) and the line of intersection of the planes -...
Find a plane containing the point (-7,4,8) and the line of intersection of the planes - 2 + 4y + 2z = 21 and 6x + 7y - 5z = 46...
1 answer
Which of the following statements are TRUE? There may be more than one correct answer; select...
Which of the following statements are TRUE? There may be more than one correct answer; select all that are true. r-p The statisticdoes not have a normal distribution. Vn The t distribution is used when ơ is not known in the statistic-_ , and must be estimated by s. Vm Replacing ơ with s re...
1 answer
1- Draw shear and bending moment diagrams for the following simply supported beams, find the location...
1- Draw shear and bending moment diagrams for the following simply supported beams, find the location and magnitude of maximum moment for each one. Show all of your calculations. 1 kN 4 KN 2 kN (7marks) 5 kN/m TITIT 40 70 70 40 40 60 A B с TI G DE All distances in cm II- 3kN 1.5 kN/m A B l...
1 answer
Write the matrix corresponding to the following system of linear equations. - 8x + 4y =...
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5...
1 answer
The waintwright company uses a process cost system. All materials are added when the process is...
the waintwright company uses a process cost system. All materials are added when the process is initially begun. at the start of June, there were no units of product in process. during June, 40,000 units were started; 10,00 of these were still in process at the end of June and half finished. What we...
1 answer
2. Use the following adjustment information to complete the Adjustments columns of the work sheet. a....
2. Use the following adjustment information to complete the Adjustments columns of the work sheet. a. Depreciation on equipment. $19 b. Accrued salaries, $22 C. The $28 of unearned revenue has been earned d. Supplies available at December 31, $95 e. Expired insurance, $31 3. Extend the balances in t...
1 answer
Please show work T Of the two l Calculation. If the reinvestment lah the internal rate...
please show work T Of the two l Calculation. If the reinvestment lah the internal rate of return, the internal rate of USII flows will be different. How would you evaluate this criticism? UESTIONS AND PROBLEMS dating Payback Period and NPV Tri Star,Inc., has the following mutually exclusive projects...
1 answer
1.9.1 Exercise 1 Describe three decision-making situations that you face at least once a year in...
1.9.1 Exercise 1 Describe three decision-making situations that you face at least once a year in your life and that involve uncertainty. Describe the sources of uncertainty and your method to come to a decision. For example, you may have to arrive at a meeting on Mondays at 5 pm, so you have to deci...
1 answer
Rd Subtitle Subtle Em... Emphasis Intense Q... Subtle Ref.. Intense Re. Quote Styles QUESTION Say that...
rd Subtitle Subtle Em... Emphasis Intense Q... Subtle Ref.. Intense Re. Quote Styles QUESTION Say that 45% ofan households n New York City own at least one cat What isdbe probability ofselecting a random sample of seventy-five New York bouseholds in which between 45% and 60% of the sample own at lea...
1 answer
How do you solve #\frac { 5} { 8} t - 7= - 22#?
How do you solve #\frac { 5} { 8} t - 7= - 22#?...
1 answer
Independent and dependent variables are terms used to describe properties of an experiment that are being...
independent and dependent variables are terms used to describe properties of an experiment that are being tested and measured. For example, let's say you want to figure out how much water you should be giving to your plant. You have three of the same plants and plan to give them different amount...
1 answer
Sand Explorers issues bonds due in 10 years with a stated interest rate of 7% and...
Sand Explorers issues bonds due in 10 years with a stated interest rate of 7% and a face value of $220,000. Interest payments are made semi-annually. The market rate for this type of bond is 6%. Using present value tables, calculate the issue price of the bonds. (FV of $1, PV of $1, FVA of $1, PVA o...
1 answer
Bay City Company's fixed budget performance report for July follows. The $513,000 budgeted total expenses include...
Bay City Company's fixed budget performance report for July follows. The $513,000 budgeted total expenses include $350,000 variable expenses and $163,000 fixed expenses. Actual expenses include $153,000 fixed expenses. Fixed Budget Variances Sales (in units) Sales (in dollars) Total expenses Inc...
1 answer
An airplane moves 100 m/s as it travels around a vertical circular loop which has a...
An airplane moves 100 m/s as it travels around a vertical circular loop which has a 1.0-km radius. What is the magnitude of the resultant force on the 50-kg pilot of this plane at the bottom of this loop? A 4.0-kg block sliding on a horizontal frictionless surface is attached to one end of a horizon...
1 answer
WACC and Percentage of Debt Financing Hook Industries' capital structure consists solely of debt and common...
WACC and Percentage of Debt Financing Hook Industries' capital structure consists solely of debt and common equity. It can issue debt at rd = 8%, and its common stock currently pays a $3.50 dividend per share (D0 = $3.50). The stock's price is currently $35.00, its dividend is expected to gr...