English

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. - Mathematics

Advertisements
Advertisements

Question

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?

Sum
Advertisements

Solution

According to the question, if we put a 5 m stick into a (× 4) stretching machine, then machine produces 20 m stick.

Similarly, if we put 10 cm carrot into a (× 4) stretching machine, then machine produce 10 × 4 = 40 cm stick.

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Exponents and Powers - Exercise [Page 265]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 147. | Page 265

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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 mass of the planets, the sun and the moon in our solar system.

Celestial
Body
Mass (kg) Mass (kg)
Standard
Notation
Sun 1,990,000,000,000,000,000,000,000,000,000 1.99 × 1030
Mercury 330,000,000,000,000,000,000,000  
Venus 4,870,000,000,000,000,000,000,000  
Earth 5,970,000,000,000,000,000,000,000  
Mars 642,000,000,000,000,000,000,000,000,000  
Jupiter 1,900,000,000,000,000,000,000,000,000  
Saturn 568,000,000,000,000,000,000,000,000  
Uranus 86,800,000,000,000,000,000,000,000  
Neptune 102,000,000,000,000,000,000,000,000  
Pluto 12,700,000,000,000,000,000,000  
Moon 73,500,000,000,000,000,000,000  
  1. Write the mass of each planet and the Moon in scientific notation.
  2. Order the planets and the moon by mass, from least to greatest.
  3. Which planet has about the same mass as earth?

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.

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 stretching machine does the same work as two (× 2) machines hooked together?



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


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?


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?


Neha needs to stretch some sticks to 252 times their original lengths, but her (× 25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (× 252) machine. To get started, think about the hookup you could use to replace the (× 25) machine.


The distance between the Sun and the Earth is 1.496 × 108 km and distance between the Earth and the Moon is 3.84 × 108 m. During solar eclipse the Moon comes in between the Earth and the Sun. What is distance between the Moon and the Sun at that particular time?


A particular star is at a distance of about 8.1 × 1013 km from the Earth. Assuring that light travels at 3 × 108 m per second, find how long does light takes from that star to reach the Earth.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×