Advertisements
Advertisements
Question
The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give ______.
Options
2.75 and 2.74
2.74 and 2.73
2.75 and 2.73
2.74 and 2.74
Advertisements
Solution
The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give 2.74 and 2.74.
Explanation:
While rounding off measurements, we use the following rules by convention:
- If the digit to be dropped is less than 5, then the preceding digit is left unchanged.
- If the digit to be dropped is more than 5, then the preceding digit is raised by one.
- If the digit to be dropped is 5 followed by digits other than zero, then the preceding digit is raised by one.
- If the digit to be dropped is 5 or 5 followed by zeros, then the preceding digit is left unchanged if it is even.
- If the digit to be dropped is 5 or 5 followed by zeros, then the preceding digit is raised by one if it is odd.
Units and Measurements:
Let us round off 2.745 to 3 significant figures.
Here the digit to be dropped is 5 and then the preceding digit is left unchanged if it is even.
Hence on rounding off 2.745, it would be 2.74.
Now consider 2.737, here also the digit to be dropped is 5 and then the preceding digit is raised by one if it is odd. Hence on rounding off 2.735 to 3 significant figures, it would be 2.74.
APPEARS IN
RELATED QUESTIONS
What do you mean by significant figures?
How many significant figures are present in the 208?
How many significant figures are present in the 500.0?
The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?
The photograph of a house occupies an area of 1.75 cm2on a 35 mm slide. The slide is projected on to a screen, and the area of the house on the screen is 1.55 m2. What is the linear magnification of the projector-screen arrangement?
Solve the numerical example.
Nuclear radius R has a dependence on the mass number (A) as R =1.3 × 10-16 A1/3 m. For a nucleus of mass number A = 125, obtain the order of magnitude of R expressed in the meter.
Solve the numerical example.
Write down the number of significant figures in the following: 0.003 m2, 0.1250 gm cm-2, 6.4 x 106 m, 1.6 x 10-19 C, 9.1 x 10-31 kg.
Which of the following has the highest number of significant figures?
The radius of the circle is 3.12 m. Calculate the area of the circle with regard to significant figures.
Write the rules for determining significant figures.
Assertion (A): Significant figures for 0.200 is 3 where as for 200 it is 1.
Reason (R): Zero at the end or right of a number are significant provided they are not on the right side of the decimal point.
The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is ______.
Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of `pi/6` at the centre.
Significant figures in a measurement include which of the following?
Which of the following measurements has exactly two significant figures?
Which of the following measurements contains exactly two significant figures?
How many significant figures are there in the number 0.001405?
