English

Find three repeater machines that will do the same work as a (× 64) machine. Draw them, or describe them using exponents.

Advertisements
Advertisements

Question

Find three repeater machines that will do the same work as a (× 64) machine. Draw them, or describe them using exponents.

Diagram
Advertisements

Solution

We know that, the possible factors of 64 are 2, 4, 8. :

If 26 = 64, 43 = 64 and 82 = 64

Hence, three repeater machines that would work as a (× 64) will be (× 26), (× 43) and (× 82).

The diagram of (× 26), (× 43) and (× 82) is given below.

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Exponents and Powers - Exercise [Page 266]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 151. | Page 266

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Mass of earth is 5.97 × 1024 kg and the mass of the moon is 7.35 × 1022 kg. What is the total mass?


This table shows the mass of one atom for five chemical elements. Use it to answer the question given.

Element Mass of atom (kg)
Titanium 7.95 × 10–26
Lead 3.44 × 10–25
Silver 1.79 × 10–25
Lithium 1.15 × 10–26
Hydrogen 1.674 × 10–27
  1. Which is the heaviest element?
  2. Which element is lighter, Silver or Titanium?
  3. List all five elements in order from lightest to heaviest.

Suppose you have a stretching machine which could stretch almost anything. For example, if you put a 5 metre stick into a (× 4) stretching machine (as shown below), you get a 20 metre stick. Now if you put 10 cm carrot into a (× 4) machine, how long will it be when it comes out?


Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second. Which two machines hooked together do the same work a (× 102) machine does? Is there more than one arrangement of two machines that will work?


For the following repeater machines, how many times the base machine is applied and how much the total stretch is?


What will the following machine do to a 2 cm long piece of chalk?


In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?


Ajay had a 1 cm piece of gum. He put it through repeater machine given below and it came out `1/(100,000)` cm long. What is the missing value?


Shikha has an order from a golf course designer to put palm trees through a (× 23) machine and then through a (× 33) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?


Find two repeater machines that will do the same work as a (× 81) machine.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×