Significant Figures Quiz: Can You Score Full Marks?
Reviewed by Janaisa Harris
Janaisa Harris, BA-Mathematics|
Mathematics Expert
Review Board Member
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA-Mathematics
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Test your precision in our "Significant Figures Quiz" and see if you can achieve a perfect score! This quiz will challenge your ability to identify and apply significant figures in various numerical expressions. Whether you're a student brushing up on your scientific notation skills or a science enthusiast looking to fine-tune your accuracy, this quiz is the perfect opportunity to put your knowledge to the test.
In this Significant Figures Quiz, you'll encounter a series of numerical problems where you must determine the correct number of significant figures, round values to the appropriate precision, and perform mathematical operations while adhering Read moreto significant figure rules. From measurements in the laboratory to mathematical calculations in the real world, mastering significant figures is essential for scientific accuracy and precision.
Are you ready to showcase your expertise in significant figures? Can you score full marks and prove your mastery of this fundamental concept in science and mathematics? Dive into our exciting and insightful Significant Figures Quiz and find out if you have what it takes to excel in the world of significant figures! Don't forget to share your results and challenge your friends to take the Significant Figures Quiz, too.
Significant Figures Questions and Answers
1.
How many significant figures are there in 504?
A.
1
B.
2
C.
3
D.
4
Correct Answer C. 3
Explanation All non-zero digits are significant. Zeros between digits are significant. Significant figures are the digits in a number that contribute to its precision and accuracy. In this case, each of the digits - 5, 0, and 4 - is considered significant because they provide information about the value of the number.
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2.
How many significant figures are there in 5040 toys?
A.
2
B.
3
C.
4
D.
5
Correct Answer B. 3
Explanation In the number "5040 toys," the zeros at the end of the number (after the non-zero digits) are not considered significant figures. They are placeholders that indicate the magnitude of the number but do not contribute to its precision.
So, in this case, there are three significant figures: "5," "0," and "4." The trailing zeros after "4" are not counted as significant.
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3.
How many significant figures are there in a substance with a mass of 504.30 grams?
A.
3
B.
4
C.
5
D.
6
Correct Answer C. 5
Explanation Zeros at the end of a number that represents a measured quantity is a significant digit. Zeros to the right of a decimal point show how accurately a measurement is taken. Hence, there are 5 significant figures here.
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4.
How many significant figures are in a substance with a mass of 0.034 grams?
A.
4
B.
1
C.
2
D.
3
Correct Answer C. 2
Explanation The number of significant figures in a measurement is determined by the precision of the measuring tool and the certainty of the digits reported. In the case of the mass of 0.034 grams:The leading zero is not considered significant.The trailing zero after the decimal point is significant.The non-zero digit "3" is significant.So, there are two significant figures in the mass of 0.034 grams. Therefore, the correct option is 2.
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5.
How many significant figures are in a substance with a mass of 0.0504 grams?
A.
5
B.
4
C.
3
D.
2
Correct Answer C. 3
Explanation Remember the rules: All non-zero digits are significant. Zeros between digits are significant. Zeros in front of a number are not significant.
The zeros before the "5" are not significant because they serve as placeholders to indicate the decimal point's position and do not contribute to the precision of the measurement. Therefore, the number 0.0504 has three significant figures.
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6.
How many significant figures are in a substance with a mass of 0.07080 grams?
A.
3
B.
4
C.
5
D.
6
Correct Answer B. 4
Explanation All non-zero digits are significant. Zeros between digits are significant. Zeros in front of a number are not significant. Zeros at the end of a number that represents a measured quantity is a significant digit. Zeros to the right of a decimal point show how accurately a measurement is taken and is significant.
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7.
How many significant figures are there in 560,890 birds?
A.
7
B.
6
C.
5
D.
4
Correct Answer C. 5
Explanation In the number 560,890, there are five significant figures. Significant figures are the digits in a number that contribute to its precision and are used to convey the level of uncertainty in a measurement or value. In this case, all the digits (5, 6, 0, 8, and 9) are considered significant because they provide information about the quantity being represented, and there are no leading or trailing zeros that are not significant.
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8.
Add the following and answer with the correct number of significant figures:
13.4 + 2.42 = _________.
A.
15.12
B.
15.82
C.
15.69
D.
15.92
Correct Answer B. 15.82
Explanation When performing addition with numbers that have different numbers of significant figures, the result should be rounded to the least number of decimal places present in any of the numbers being added. In this case, both numbers have two decimal places, so the result should also have two decimal places. Adding 13.4 and 2.42 gives 15.82, which has two decimal places and is the correct result. Therefore, the answer is 15.82.
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9.
Add the following and answer with the correct number of significant figures:
3.01 + 2.32+ 5.1 = ____________.
A.
10.4 (3 significant figures)
B.
10.43 (4 significant figures)
C.
10. (2 significant figures)
D.
10.43 (1 significant figures)
Correct Answer A. 10.4 (3 significant figures)
Explanation The sum of the numbers is:
3.01 + 2.32 + 5.1 = 10.43
When adding these numbers, you should retain the same number of decimal places as the number with the fewest decimal places, which, in this case, is "5.1." Therefore, the answer should be rounded to one decimal place:
10.43 (rounded to one decimal place)
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10.
Answer with the correct number of significant figures.
13.023x123.1 = __________.
A.
1603.1313 (8 significant figures)
B.
1603.1 (5 significant figures)
C.
1603 (4 significant figures)
D.
1603.13 (6 significant figures)
Correct Answer C. 1603 (4 significant figures)
Explanation In multiplication and division, the rule for determining the number of significant figures in the result is that it should have the same number of significant figures as the least precise number being multiplied or divided. Since 123.1 is the least precise number with 4 significant figures, the result should also have 4 significant figures.
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11.
How many significant numbers are there in 2.1390?
A.
4
B.
5
C.
6
D.
7
Correct Answer B. 5
Explanation The digits 2, 1, 3, and 9 are significant because they convey meaningful information about the value.
The trailing zero (0) at the end of the number is also considered significant when it comes after a decimal point. It indicates the precision of the measurement.
So, there are five significant figures in the number 2.1390.
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12.
How many significant numbers are there in 4.150 x 10^{-4}?
A.
1
B.
2
C.
3
D.
4
Correct Answer D. 4
Explanation The digits 4, 1, 5, and 0 are significant because they convey meaningful information about the value.
The exponent, -4, does not count as a significant figure because it is not a digit that represents the precision of the measurement; it indicates the order of magnitude (in scientific notation).
So, there are four significant figures in the number 4.150 x 10^-4.
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13.
How many significant numbers are there in 678.02400?
A.
5
B.
6
C.
7
D.
8
Correct Answer D. 8
Explanation The digits 6, 7, 8, 0, 2, and 4 are all significant because they represent meaningful information about the value.
The trailing zeroes after the decimal point (the zeroes to the right of the decimal point) are also significant in this context. They indicate the precision of the measurement.
So, there are eight significant figures in the number 678.02400.
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14.
How many significant numbers are there in 0.002?
A.
1
B.
2
C.
3
D.
4
Correct Answer A. 1
Explanation In the number 0.002, there is one significant figure. Leading zeros, which are zeros to the left of the first non-zero digit, are not considered significant. Therefore, only the digit 2 is counted as a significant figure in this case.
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15.
How many significant numbers are there in 546?
A.
1
B.
2
C.
3
D.
4
Correct Answer C. 3
Explanation The number 546 has three significant figures. In determining the significant figures in a number, the following rules apply:Non-zero digits are always significant.Any zeros between non-zero digits are also significant.Leading zeros (zeros to the left of the first non-zero digit) are not significant.Trailing zeros in a decimal number (zeros to the right of the last non-zero digit in a decimal) are significant.In 546:The digit 5 is non-zero and significant.The digit 4 is non-zero and significant.The digit 6 is non-zero and significant.Therefore, 546 has three significant figures. Leading zeros (if any) are not counted, and in this case, there are no leading zeros.
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Janaisa Harris |BA-Mathematics|
Mathematics Expert
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
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