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Quizzes > Mathematics > Basic Math & Arithmetic

Ready for the Significant Figures Quiz? Prove Your Precision!

Dive into our fun sig fig quiz and tackle challenging practice problems now!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for significant figures quiz on sky blue background

Think you can fine-tune measurements to perfection? Dive into our significant figures quiz and put your skills to the test! Whether you're tackling chemistry labs or engineering tasks, this sig fig quiz offers a variety of significant figures practice problems designed to reveal your accuracy. Explore guided practice challenges that sharpen your rounding significant figures know-how and pinpoint those crucial decimal places. Ready for more? Take on step-by-step questions and see how you measure up in multiplying and dividing significant figures. Jump in now - boost your confidence and master those significant numbers!

How many significant figures are in the measurement 0.00450?
5
3
4
2
Leading zeros are not significant, but trailing zeros after a decimal point count as significant figures. In 0.00450, the digits 4, 5, and the final zero are significant. Therefore, the number has three significant figures. For more details, see this resource.
Which digit is the least significant in 6.702?
6
2
0
7
In any number, the least significant digit is the last digit in the sequence. In 6.702, the '2' occupies the smallest place value. This makes it the least significant digit. Learn more at ChemTeam.
How many significant figures does the number 1000 have if no additional notation is used?
2
4
3
1
Without a decimal point or overbar, trailing zeros in 1000 are not considered significant. Only the first '1' counts as a significant figure. Thus, 1000 has one significant figure. See more at Britannica.
How many significant figures are in the number 0.03040?
5
2
3
4
The leading zeros are not significant. The digits 3, 0 (middle), 4, and the final zero after the decimal count. This gives four significant figures in 0.03040. For further explanation, visit ChemGuide.
In the number 123.4500, how many significant figures are there?
4
5
7
6
All nonzero digits are significant, and trailing zeros after a decimal point also count. In 123.4500, each of the six digits (1, 2, 3, 4, 5, 0, 0) is significant, giving six significant figures. More at Wikipedia.
Which of the following is the correct scientific notation of 0.000789 with three significant figures?
78.9 × 10??
0.0007890
0.789 × 10?³
7.89 × 10??
Scientific notation shifts the decimal to get one nonzero digit to the left. 0.000789 becomes 7.89 × 10??, preserving three significant figures. For more on this, see ChemTeam.
What is the number of significant figures in the measurement 500.?
1
2
3
None
A decimal point after trailing zeros indicates those zeros are measured values. In 500., the '5' and both zeros are significant, giving three significant figures. For more, see ChemGuide.
How many significant figures are in the measurement 52,300 (commas as separators)?
3
2
5
4
Without a decimal point, trailing zeros in whole numbers are ambiguous and not considered significant. Thus 52,300 has three significant figures (5, 2, and 3). Read more at Wikipedia.
When adding 3.42 (3 sf) and 2.1 (2 sf), what is the answer with correct sig figs?
5.5
5.52
5.50
5.51
In addition, the result is rounded to the least number of decimal places among operands (one decimal place). 3.42 + 2.1 = 5.52, rounded to one decimal place gives 5.5. See ChemTeam.
What is the product of 4.56 (3 sf) × 1.4 (2 sf) reported correctly?
6.384
6.4
6.38
6.3
Multiplication results are rounded to the least number of significant figures (2 sf). 4.56 × 1.4 = 6.384, rounded to two sig figs is 6.4. More at ChemTeam.
Divide 12.11 by 3.0 and report the answer with correct sig figs.
4.1
4.03
4.0
4.04
Division follows the rule of least significant figures (2 sf in 3.0). 12.11 ÷ 3.0 = 4.0367, rounded to two sig figs gives 4.0. See details at ChemTeam.
Which of the following measurements is the most precise?
0.04
0.040
0.0040
0.00400
Precision is indicated by the number of significant figures. 0.00400 has three significant figures, more than the others. Higher sig figs mean greater precision. More here: Britannica.
When rounding to three significant figures, 0.009876 becomes what?
0.00987
0.00988
0.0100
0.0099
To three sig figs, count from the first nonzero digit. 0.009876 ? 9-8-7 are the first three, next digit is 6 so round the 7 up to 8: 0.00988. See ChemGuide.
Which rule determines significant figures for addition or subtraction results?
Greatest number of decimal places
Least number of decimal places
Sum of all decimal places
Least number of significant figures
In addition/subtraction, the result is rounded to the least number of decimal places among the operands. This ensures the precision reflects the least certain measurement. Read more at ChemTeam.
When multiplying 0.0200 by 3.400, the result with correct significant figures is:
0.0679
0.0680
0.070
0.068
Multiplication rounds to the least sig figs (3 sf here). 0.0200 × 3.400 = 0.06800, rounded to three sig figs is 0.0680. For details, see ChemTeam.
Exact numbers have which characteristic regarding significant figures?
No significant figures
One significant figure
Variable significant figures
Infinite significant figures
Exact numbers, such as counted items or defined constants, are considered to have an infinite number of significant figures because they are not obtained by measurement. They do not limit precision in calculations. More at Wikipedia.
How many significant figures are in 0.0000?
1
0
4
Undefined
Zeros after the decimal point in a measured value are significant. In 0.0000, all four zeros after the decimal are considered significant figures. This yields four significant figures. See ChemTeam.
Round 0.045996 to two significant figures.
0.050
0.045
0.0460
0.046
To two sig figs, start at the first nonzero digit: 4 and 5. The next digit (9) causes the 5 to round up to 6, giving 0.046. More at ChemGuide.
A measurement is reported as 3.20 ± 0.01. What is the number of significant figures in 3.20?
3
Depends on uncertainty
2
4
3.20 includes digits 3, 2, and the trailing zero after the decimal, all of which are significant. This yields three significant figures. For more, see Wikipedia.
Convert 0.00456 m to centimeters and express with correct significant figures.
0.46 cm
4.56 cm
0.0456 cm
0.456 cm
Multiplying by 100 shifts the decimal two places: 0.00456 m = 0.456 cm. The original has three sig figs, so the result retains three sig figs. See ChemTeam.
Which value has the highest precision?
12.2300
12.2
12.23
12.230
Precision is indicated by the number of significant figures. 12.2300 has six significant figures, more than the others. This makes it the most precise. Read more at Britannica.
If you multiply 2.50 × 0.0030 and then add 1.23, what is the result with correct significant figures?
1.2375
1.23
1.237
1.24
First 2.50×0.0030 =0.00750 (rounded to 2 sf ?0.0075), then add 1.23 gives 1.2375. Addition is rounded to two decimal places (least among 1.23 and 0.0075) ?1.24. See ChemGuide.
Which is the correct scientific notation for 600 with one significant figure?
6 × 10²
6.0 × 10²
60 × 10¹
6.00 × 10²
One significant figure means only '6' is shown, so the notation is 6 × 10². Adding zeros or changing exponent alters the sig figs. More at ChemTeam.
The number 0.0003030 has how many significant figures?
3
2
5
4
Leading zeros are not significant, but zeros between or after nonzero digits and trailing zeros after a decimal point are significant. In 0.0003030, the digits 3,0,3, and the final zero count: four significant figures. See Wikipedia.
Calculate (2.345 × 10³) ÷ (1.2 × 10?²) and express the result with correct significant figures.
1.96 × 10?
1.954 × 10?
1.9542 × 10?
1.95 × 10?
Division uses the least number of significant figures (2 sf in 1.2). The raw quotient is ?1.95417 × 10?, rounded to two sig figs gives 1.95 × 10?. More at ChemTeam.
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Study Outcomes

  1. Identify Significant Figures -

    Recognize which digits in a given number count as significant figures by applying standard sig fig rules.

  2. Apply Zero-Handling Rules -

    Distinguish between leading, trailing, and captive zeros to correctly determine their impact on numerical precision.

  3. Implement Rounding Techniques -

    Round measurements and calculations to a specified number of significant figures for accurate result reporting.

  4. Analyze Practice Problems -

    Solve a variety of significant figures quiz scenarios, reinforcing core concepts through hands-on sig figs exercises.

  5. Evaluate Calculation Precision -

    Assess the accuracy of your results and identify common pitfalls in significant figures practice problems.

  6. Boost Numerical Accuracy -

    Enhance your confidence in measurements and calculations by mastering strategies from the significant figures quiz.

Cheat Sheet

  1. Counting Significant Figures -

    All non-zero digits count, while zeros do so only under certain conditions. For example, 0.00520 has three sig figs because leading zeros don't count but the trailing zero after the decimal does (NIST). Master this rule to ace the first section of your significant figures quiz.

  2. Multiplication & Division Rules -

    The result of a multiplication or division should carry the same number of sig figs as the measurement with the fewest sig figs. For instance, 3.456 × 2.1 = 7.3 (two sig figs) per Purdue University guidelines. Practice this in your sig fig quiz to avoid common rounding errors.

  3. Addition & Subtraction Rules -

    Align decimal places, then round the final answer to the least precise decimal place. For example, 12.11 + 0.3 = 12.4 (one decimal place) as taught by Purdue's chemistry department. This rule often trips students up in significant figures practice problems, so give it extra attention.

  4. Using Scientific Notation for Clarity -

    Express ambiguous numbers in scientific notation to specify sig figs clearly. Writing 1500 as 1.500 × 10^3 indicates four sig figs, avoiding guesswork (IUPAC). This trick is a game-changer on any significant numbers quiz.

  5. Rounding Conventions & Mnemonics -

    Use "five or more, raise the score; four or less, let it rest" to remember rounding rules. So, 2.345 rounded to three sig figs becomes 2.35 (American Chemical Society). This fun mnemonic ensures accuracy in every sig figs quiz question.

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