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
How many significant figures are present in the 0.0025?
How many significant figures are present in the 208?
Round up the following upto three significant figures:
34.216
Round up the following upto three significant figures:
2808
How many significant figures should be present in the answer of the following calculation?
5 × 5.364
You are given a thread and a metre scale. How will you estimate the diameter of the thread?
It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather from examples 2.3 and 2.4, determine the approximate diameter of the moon.
State the number of significant figures in the following:
0.007 m2
Just as precise measurements are necessary in science, it is equally important to be able to make rough estimates of quantities using rudimentary ideas and common observations. Think of ways by which you can estimate the following (where an estimate is difficult to obtain, try to get an upper bound on the quantity):-
the wind speed during a storm
Solve the numerical example.
A large ball 2 m in radius is made up of a rope of square cross-section with edge length 4 mm. Neglecting the air gaps in the ball, what is the total length of the rope to the nearest order of magnitude?
How many significant figures should be present in the answer of the following calculations?
`(2.5 xx 1.25 xx 3.5)/2.01`
The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is ______.
The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is ______.
Significant figures in a measurement include which of the following?
How many significant figures are present in the measurement 2007 grams?
Which of the following measurements has exactly two significant figures?
How many significant figures are there in the number 0.001405?
Which of the following numbers has 4 significant figures?
