MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Vishrant Vasavada Grade: 11
        Find the value of 0.025 m x 5 m in correct significant digits.
7 years ago

Answers : (1)

AskIITians Expert Hari Shankar IITD
17 Points
										

Hi,


  Significant Figure Rules for Multiplication and Division



In multiplication and division, the number of S.F. in the answer is the same as the number of S.F. in the input number that has the fewest. For example, consider Person 3's measurement of the wood. If you wanted to know the area of the wood you would use the formula



     Area = Length x Width

                 = (11.63 cm) x (5.74 cm)



The input number with the smallest number of S.F. is the width measurement, which has 3. So, the answer must also have 3 S.F.:



     Area = 66.8 cm2



The number that comes out of the calculator is 66.7562, but because of rule above the answer has been rounded off to the correct number of S.F.



Now suppose you wanted to know the volume of the wood:



     Volume = Length x Width x Thickness

         = (11.63 cm) x (5.74 cm) x (0.42 cm)

         = 28 cm3



The calculator gives 28.037604, but because the thickness has only 2 S.F., so must the answer.


 


Now, coming to your question, 0.025 has 2 significant digits, and 5 has 1 significant digits. Therefore, only 1 significant digit of 0.025 x 5 will be valid.


Hence, 0.025 x 5 = 0.125 = 0.1 since we can use only 1 significant digit.

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
  • Kinematics & Rotational Motion
  • OFFERED PRICE: R 600
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details