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By Jendela Sains
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Get instant insights and key takeaways from this YouTube video by Jendela Sains.
Definition of Significant Figures (Angka Penting)
π Significant figures are digits obtained from a measurement, consisting of exact (certain) digits and estimated (uncertain/doubtful) digits.
π For example, when measuring a book's thickness with a ruler (precision of 0.1 cm), if the reading is between 1.4 cm and 1.5 cm, an observer might record 1.48 cm; here, 1.4 is the certain part, and 8 is the estimated digit.
π¬ The estimated digit (the last digit) arises from the subjectivity of the observer due to the limitations of the measuring instrument's precision.
Rules for Determining Significant Figures
π’ All non-zero digits are significant (e.g., 2537 has 4 significant figures).
π― Zeros located between non-zero digits are significant (e.g., 50025 has 5 significant figures, 5002 has 4 significant figures).
π Zeros to the left of the first non-zero digit are not significant (e.g., 0.0032 has 2 significant figures: 3 and 2).
π Zeros to the right of the last non-zero digit are significant *only if* a decimal point is present (e.g., 12.750 has 5 significant figures; 200 has 1 significant figure, but 200.00 has 5 significant figures).
βοΈ In scientific notation (), only the digits in the coefficient ($a$) are considered significant; the term is ignored for counting significant figures.
Operations Involving Significant Figures
ββ Addition and Subtraction: The result must be rounded to have the same number of decimal places as the measurement with the fewest decimal places.
βοΈβ Multiplication and Division: The result must be rounded to have the same number of significant figures as the measurement with the fewest significant figures.
π Powers and Roots (Exponentiation/Radicals): The result must have the same number of significant figures as the original number before the operation.
Application Examples
π For multiplication (Area = Length Width), if Length (12.5 cm, 3 SF) is multiplied by Width (7.5 cm, 2 SF), the result must be limited to 2 significant figures.
(rounded to 2 SF).
π§± For repeated addition (Height of 35 stacks of bricks, where one brick height is 9.10 cm, 3 SF), the multiplier (35) is not considered a significant figure because it is a count, not a measurement. The result (318.5 cm) must be rounded to 3 significant figures .
Key Points & Insights
β‘οΈ The estimated digit is the rightmost digit in any measurement and reflects the precision limit of the tool used.
β‘οΈ For addition/subtraction, focus on decimal places; for multiplication/division, focus on the total count of significant figures.
β‘οΈ Integers used as counters (like the number of stacked items) are not subject to significant figure rules unless they result from a measurement process.
πΈ Video summarized with SummaryTube.com on Nov 09, 2025, 11:44 UTC
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Full video URL: youtube.com/watch?v=JjLKas6Mpvc
Duration: 45:56
Get instant insights and key takeaways from this YouTube video by Jendela Sains.
Definition of Significant Figures (Angka Penting)
π Significant figures are digits obtained from a measurement, consisting of exact (certain) digits and estimated (uncertain/doubtful) digits.
π For example, when measuring a book's thickness with a ruler (precision of 0.1 cm), if the reading is between 1.4 cm and 1.5 cm, an observer might record 1.48 cm; here, 1.4 is the certain part, and 8 is the estimated digit.
π¬ The estimated digit (the last digit) arises from the subjectivity of the observer due to the limitations of the measuring instrument's precision.
Rules for Determining Significant Figures
π’ All non-zero digits are significant (e.g., 2537 has 4 significant figures).
π― Zeros located between non-zero digits are significant (e.g., 50025 has 5 significant figures, 5002 has 4 significant figures).
π Zeros to the left of the first non-zero digit are not significant (e.g., 0.0032 has 2 significant figures: 3 and 2).
π Zeros to the right of the last non-zero digit are significant *only if* a decimal point is present (e.g., 12.750 has 5 significant figures; 200 has 1 significant figure, but 200.00 has 5 significant figures).
βοΈ In scientific notation (), only the digits in the coefficient ($a$) are considered significant; the term is ignored for counting significant figures.
Operations Involving Significant Figures
ββ Addition and Subtraction: The result must be rounded to have the same number of decimal places as the measurement with the fewest decimal places.
βοΈβ Multiplication and Division: The result must be rounded to have the same number of significant figures as the measurement with the fewest significant figures.
π Powers and Roots (Exponentiation/Radicals): The result must have the same number of significant figures as the original number before the operation.
Application Examples
π For multiplication (Area = Length Width), if Length (12.5 cm, 3 SF) is multiplied by Width (7.5 cm, 2 SF), the result must be limited to 2 significant figures.
(rounded to 2 SF).
π§± For repeated addition (Height of 35 stacks of bricks, where one brick height is 9.10 cm, 3 SF), the multiplier (35) is not considered a significant figure because it is a count, not a measurement. The result (318.5 cm) must be rounded to 3 significant figures .
Key Points & Insights
β‘οΈ The estimated digit is the rightmost digit in any measurement and reflects the precision limit of the tool used.
β‘οΈ For addition/subtraction, focus on decimal places; for multiplication/division, focus on the total count of significant figures.
β‘οΈ Integers used as counters (like the number of stacked items) are not subject to significant figure rules unless they result from a measurement process.
πΈ Video summarized with SummaryTube.com on Nov 09, 2025, 11:44 UTC
Find relevant products on Amazon related to this video
As an Amazon Associate, we earn from qualifying purchases

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