What Are Significant Figures and How to Use Them?

TL;DR

Significant figures are the digits in a number that contribute to its precision, including all non-zero numbers and zeros between them, while trailing zeros without a decimal point are not significant. When performing operations like addition or multiplication, round your results according to the number of significant figures in the least precise measurement to maintain accuracy.

Transcript

in this video we're going to focus on significant figures the rules behind addition subtraction multiplication and division we're going to go over some examples including some combined operations problems where you have both addition subtraction and multiplication combined so let's begin the first thing that you need to be able to do is you need to... Read More

Key Insights

• #️⃣ Non-zero numbers are always significant.
• #️⃣ Zeros between significant numbers are significant.
• 😥 Trailing zeros without a decimal point are not significant.
• 😥 Zeros after a decimal point are significant.
• 🛝 For multiplication and division, round to the least number of significant figures.
• 🧘 For addition and subtraction, round according to the position of the least significant figure.
• ❤️‍🩹 Rounding should be done at the end of a calculation, not during intermediate steps.

Summary & Key Takeaways

• The video explains how to determine the number of significant figures in a given number.

• Non-zero numbers are always significant, zeros between significant numbers are also significant, trailing zeros without a decimal point are not significant, and zeros after a decimal point are significant.

• The video demonstrates how to round the results of addition, subtraction, multiplication, and division to the appropriate number of significant figures.