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Quizzes > High School Quizzes > Science

Master Sig Fig Practice Quiz

Sharpen your skills with sig figs practice problems

Difficulty: Moderate
Grade: Grade 10
Study OutcomesCheat Sheet
Colorful paper art promoting a high school-level science and math quiz on mastering significant figures.

Determine the number of significant figures in the number 0.030.
1
3
0
2
Leading zeros are not counted, but the trailing zero after the decimal point is significant. Thus, 0.030 has two significant figures.
Which of the following numbers has three significant figures?
3.0100
100
0.00456
42.00
In 0.00456 the leading zeros are not significant and only the digits 4, 5, and 6 count. The other options either have ambiguous or different counts of significant figures.
When rounding 3.456 to three significant figures, what is the result?
3.45
3.457
3.46
3.456
The digit following the third significant figure in 3.456 is 6, which is 5 or greater. This rounds the third digit up, making the answer 3.46.
Given 1500 where only '15' is measured, how many significant figures does it have?
5
2
3
4
In this context, only the digits '15' are considered measured, and the trailing zeros are placeholders. Therefore, 1500 has two significant figures.
In multiplication and division, the result should be reported with:
Always two significant figures
As many significant figures as the least precise factor
The same number of significant figures as the most precise factor
An arbitrary number of significant figures
The rule for multiplication and division requires that the final result be rounded to the number of significant figures in the least precise factor. This maintains the precision of the measurement with the lowest accuracy.
How many significant figures are in the measurement 405.0?
2
4
3
5
In 405.0 the zero between 4 and 5 is significant and the trailing zero after the decimal point is also significant. This gives a total of four significant figures.
Round the number 0.006789 to two significant figures.
0.0068
0.0067
0.00678
0.0070
Rounding to two significant figures means keeping the first two non-zero digits and rounding based on the following digit. Since the third significant digit is 8 (which is 5 or greater), the number rounds to 0.0068.
When adding 12.11 and 0.0345, how many decimal places should the final answer have?
4 decimal places
No rounding is required
3 decimal places
2 decimal places
In addition, the result is rounded to the least number of decimal places from the numbers involved. Here, 12.11 has two decimal places, so the sum should be rounded to two decimal places.
For the expression (4.56 x 1.4) / 0.123, how many significant figures should the final answer be rounded to?
3
2
4
5
Multiplication and division rules state that the final result should have as many significant figures as the measurement with the fewest. Since 1.4 has only two significant figures, the answer should be rounded to two significant figures.
When subtracting 23.45 from 100.0, the answer should be rounded to how many decimal places?
One decimal place
Three decimal places
Two decimal places
Nearest whole number
For subtraction, the result should be rounded to the same number of decimal places as the term with the fewest decimal places. Since 100.0 has one decimal place, the final answer must have one decimal place.
If a measurement is recorded as 5.00 cm, what does it imply?
The zeros are only placeholders
The value is exactly 5 cm with no error
The measurement is approximate
The zeros are measured values showing precision
The notation 5.00 cm indicates that the measurement is precise to the hundredths place. The trailing zeros are significant and reflect the high precision of the measurement.
How many significant figures does the scientific notation 4.50 x 10^3 have?
3
2
4
5
In scientific notation, only the digits in the coefficient are significant. Since 4.50 has three digits and the trailing zero is significant, the number has three significant figures.
Which of the following is correctly rounded to three significant figures: 0.09876?
0.0990
0.0986
0.0988
0.0987
Rounding 0.09876 to three significant figures involves looking at the fourth digit. Since it is 6, the third digit is rounded up, resulting in 0.0988.
How many significant figures are in the number 0.0005300?
5
4
3
6
In 0.0005300, the leading zeros are not significant, but the digits 5, 3, and the two trailing zeros (which are significant because they come after a decimal point) count. This totals four significant figures.
Multiply 3.22 by 4.1 and round your answer to the correct number of significant figures.
13
14
13.20
13.2
Since 4.1 has only two significant figures and 3.22 has three, the final answer must be rounded to two significant figures. The unrounded product 13.202 is therefore rounded to 13.
When calculating flow rate by dividing 0.00450 L by 2.30 s, which rule of significant figures applies?
Round to the highest number of significant figures among the measurements
Round the result to the number of decimal places in the least precise measurement
Round the result to the number of significant figures in the least precise measurement
Keep all digits from the numerator
For division, the final result is determined by the measurement with the fewest significant figures. This rule ensures that the precision of the least accurate measurement is not overstated.
A chemist reports a concentration as 2.5000 M. What does the extra zero signify?
It rounds the value to an integer
It indicates the measurement is precise to five significant figures
It denotes an approximate value
It is a placeholder with no impact on precision
The extra zero in 2.5000 M is significant and shows that the measurement was precise to five significant figures. This level of detail communicates high measurement accuracy.
Subtracting 123.456 from 789.01 gives 665.554. How should this result be correctly rounded?
666
665.554
665.55
665.6
For subtraction, the result should be rounded to the same number of decimal places as the term with the fewest. Since 789.01 has two decimal places, 665.554 is rounded to 665.55.
If you measure a length as 0.00230 m and multiply it by 1.234, how many significant figures should your product have?
2
3
4
5
When multiplying values, the product should have as many significant figures as the measurement with the fewest. Here, 0.00230 m has three significant figures, so the answer is expressed with three.
Determine the number of significant figures in the number 0.00012030.
5
6
4
3
Ignoring the leading zeros, the digits 1, 2, 0, 3, and 0 are counted. The captive zero and the trailing zero after the decimal are significant, giving a total of five significant figures.
0
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Study Outcomes

  1. Understand the definition and rules of significant figures.
  2. Apply rounding techniques to maintain numerical precision.
  3. Analyze numerical data to determine the appropriate number of significant figures.
  4. Utilize significant figure rules in solving mathematical and scientific problems.
  5. Evaluate the impact of rounding on measured data and calculated results.
  6. Demonstrate improved accuracy in test and exam preparation through practice.

Sig Fig Practice Cheat Sheet

  1. Understand the Basics of Significant Figures - Think of significant figures as the VIPs of your measurement, showing how precise it really is by including all the sure digits plus the first uncertain one. They're your secret weapon against sloppy data, ensuring nobody confuses a guess for a fact. For example, in 45.6, all three digits count! Learn more on Britannica
  2. Identify Non‑Zero Digits - All non‑zero digits are always significant, making this rule the easiest one to remember on your sig‑figs journey. For instance, 123 has three significant figures because each digit earns its place. It's a solid starting point that never lets you down. Learn more on Britannica
  3. Recognize Captive Zeros - Captive zeros are zeros sandwiched between non‑zero digits, and they always count toward your total. For example, in 1002, all four digits are significant because those zeros are "captive." Think of them as VIP guests in the middle of the party - they never get left out! Learn more on Britannica
  4. Understand Leading Zeros - Leading zeros hang out before the first non‑zero digit and act as placeholders, so they don't count. For example, 0.0045 only has two significant figures (4 and 5). Don't let those zeros fool you - they're just marking the spot! Learn more on Britannica
  5. Identify Trailing Zeros in Decimals - Trailing zeros after a decimal point are superstars and always count because they show extra precision. In 2.300, all four digits matter and tell you exactly how reliable your measurement is. Treat those zeros like part of the main act! Learn more on Britannica
  6. Recognize Trailing Zeros in Whole Numbers - Trailing zeros in whole numbers without a decimal can be ambiguous, so they might crash your sig‑figs party. To clear things up, switch to scientific notation (for example, 1500 → 1.5 × 10³ to show two sig figs). This way, everyone knows exactly who's invited! Learn more on Britannica
  7. Apply Rules in Addition and Subtraction - When you add or subtract, your answer can only be as precise as your least precise measurement, so match the fewest decimal places. For instance, 12.11 + 18.0 = 30.1 because 18.0 has just one decimal place. It keeps your result honest! Learn more on Britannica
  8. Apply Rules in Multiplication and Division - In multiplication and division, your result must have the same number of significant figures as the factor with the fewest sig figs. For example, 4.56 × 1.4 = 6.4 since 1.4 has two sig figs. Stay sharp or someone will crash the math party! Learn more on Britannica
  9. Practice Rounding Off - Rounding off is your ticket to tidy numbers: if the next digit is less than 5, keep it as is; if it's 5 or more, bump up your last retained digit. For example, rounding 2.346 to two sig figs gives you 2.3. Keep practicing so you don't round like a rookie! Learn more on Britannica
  10. Use Scientific Notation for Clarity - Scientific notation shines a spotlight on your sig figs, making it crystal clear how many count. For instance, 0.00045 becomes 4.5 × 10❻❴, showing exactly two significant figures. It's the best way to avoid confusion and show off your number skills! Learn more on Britannica
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