English

Find three machines that can be replaced with hook-ups of (× 5) machine.

Advertisements
Advertisements

Question

Find three machines that can be replaced with hook-ups of (× 5) machines.

Sum
Advertisements

Solution

Since, 52 = 25, 53 = 125, 54 = 625

Hence, (× 52), (× 53) and (× 54) machines can replace (× 5) hook-up machines.

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Exponents and Powers - Exercise [Page 272]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 167. | Page 272

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?


The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m.


The table shows the average distance from each planet in our solar system to the sun.

Planet Distance from Sun
(km)
Distance from Sun
(km) Standard
Notation
Earth 149,600,000 1.496 × 108
Jupiter 778,300,000  
Mars 227,900,000  
Mercury 57,900,000  
Neptune 4,497,000,000  
Pluto 5,900,000,000  
Saturn 1,427,000,000  
Uranus 2,870,000,000  
Venus 108,200,000  
  1. Complete the table by expressing the distance from each planet to the Sun in scientific notation.
  2. Order the planets from closest to the sun to farthest from the sun.

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?


Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a (× 24) machine is the same as putting it through a (× 2) machine four times. So, if you send a 3 cm piece of wire through a (× 24) machine, its length becomes 3 × 2 × 2 × 2 × 2 = 48 cm. It can also be written that a base (2) machine is being applied 4 times.


What will be the new length of a 4 cm strip inserted in the machine?


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?


Sanchay put a 1 cm stick of gum through a (1 × 3–2) machine. How long was the stick when it came out?


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?


The left column of the chart lists the lengths of input pieces of ribbon. Stretching machines are listed across the top. The other entries are the outputs for sending the input ribbon from that row through the machine from that column. Copy and complete the chart.

Input Length Machine
  × 2      
  1 5    
3       15
  14   7  

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×