Q. When dividing 100.0 by 4.00, what is the correct answer considering significant figures?
A.
25.0
B.
25
C.
25.00
D.
24.99
Solution
In division, the result should have the same number of significant figures as the quantity with the least significant figures. 100.0 has 4 significant figures and 4.00 has 3 significant figures, so the result should have 3 significant figures: 25.0.
Q. When dividing 6.02 by 2.0, how many significant figures should the answer have?
A.
1
B.
2
C.
3
D.
4
Solution
The result should have the same number of significant figures as the measurement with the least significant figures, which is 2.0 (1 significant figure).
Q. When dividing 6.022 x 10^23 by 2.0, how many significant figures should the answer have?
A.
1
B.
2
C.
3
D.
4
Solution
In division, the result should have the same number of significant figures as the factor with the least significant figures. 6.022 x 10^23 has 4 significant figures and 2.0 has 2 significant figures, so the answer should have 2 significant figures.
Q. When multiplying 2.5 and 3.42, how many significant figures should the result have?
A.
2
B.
3
C.
4
D.
5
Solution
The result should have the same number of significant figures as the measurement with the least significant figures, which is 2.5 (2 significant figures).
Q. When multiplying 3.00 and 2.5, how many significant figures should the answer have?
A.
2
B.
3
C.
4
D.
5
Solution
In multiplication, the result should have the same number of significant figures as the factor with the least significant figures. 3.00 has 3 significant figures and 2.5 has 2 significant figures, so the answer should have 2 significant figures.
Q. When multiplying 3.00 by 2.5, how many significant figures should the answer have?
A.
2
B.
3
C.
4
D.
5
Solution
In multiplication, the result should have the same number of significant figures as the factor with the least significant figures. 3.00 has 3 significant figures and 2.5 has 2 significant figures, so the answer should have 2 significant figures.
Q. When multiplying 3.24 by 2.1, what is the correct number of significant figures in the final answer?
A.
4
B.
3
C.
2
D.
1
Solution
In multiplication, the result should have the same number of significant figures as the factor with the least significant figures. 3.24 has 3 significant figures and 2.1 has 2 significant figures, so the answer should have 2 significant figures.
Q. When subtracting 5.678 from 10.0, how should the answer be rounded?
A.
4.32
B.
4.3
C.
4.4
D.
4.00
Solution
In subtraction, the result should be rounded to the least number of decimal places. 10.0 has one decimal place and 5.678 has three, so the answer should be rounded to one decimal place: 4.32 becomes 4.3.
Q. Which of the following is the correct representation of 0.0004500 in scientific notation?
A.
4.500 x 10^-4
B.
4.5 x 10^-4
C.
4.5000 x 10^-4
D.
4.5 x 10^-5
Solution
In scientific notation, all non-zero digits and any trailing zeros after the decimal point are significant. Therefore, 0.0004500 is expressed as 4.500 x 10^-4.
Understanding "Units & Measurement" is crucial for students preparing for exams. This topic lays the foundation for various scientific concepts and is frequently tested in objective questions. Practicing MCQs and important questions in this area not only enhances your conceptual clarity but also boosts your confidence in exam preparation.
What You Will Practise Here
Fundamental units and derived units
Measurement of length, mass, and time
Conversion of units and dimensional analysis
Significant figures and their importance in measurements
Measurement errors and uncertainty
Applications of units in real-life scenarios
Key formulas related to measurement and conversions
Exam Relevance
The topic of "Units & Measurement" is integral to the curriculum of CBSE, State Boards, NEET, and JEE. It often appears in various formats, including direct questions, numerical problems, and conceptual applications. Students can expect to encounter questions that require them to convert units, apply formulas, and interpret measurements in practical contexts. Familiarity with this topic can significantly enhance your performance in both school and competitive exams.
Common Mistakes Students Make
Confusing between fundamental and derived units
Incorrectly converting units without paying attention to the scale
Neglecting significant figures in calculations
Misunderstanding the concept of measurement errors
Overlooking the application of dimensional analysis in problem-solving
FAQs
Question: What are the basic units of measurement? Answer: The basic units include length (meter), mass (kilogram), and time (second), which are fundamental to all measurements.
Question: How can I improve my accuracy in measurements? Answer: Always use appropriate measuring tools, be mindful of significant figures, and practice converting units accurately.
Ready to enhance your understanding of "Units & Measurement"? Start solving practice MCQs today to test your knowledge and prepare effectively for your exams!
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
