maths

• What is the first significant term in the number 0.001342?

  1
• How do you approximate the number 32 to significant figures?

  Round it to the nearest significant figure
• What is the standard form of the number 40720?

  4.072 \times 10^4
• What happens to the exponent in standard form for very small numbers?

  The exponent becomes negative
• What is the process of converting a number to standard form?

  • Identify the significant digits
  • Place the decimal after the first non-zero digit
  • Count the number of places the decimal has moved
  • Express the number as a product of that digit and a power of ten
• What is the standard form representation of the integer 32560003234?

  3.2560003234 \times 10^{10}
• What is the significance of significant figures in calculations?

  They indicate the precision of a measurement
• How do significant figures affect the outcome of mathematical operations?

  They limit the precision of the result
• If you have the number 0.000456 in standard form, what is its exponent?

  -4
• What is the approximate value of 990 when rounded to significant figures?

  990
• Why is it important to use standard form for very large or small numbers?

  It simplifies the representation of numbers
• How would you express the number 0.00000789 in standard form?

  7.89 \times 10^{-6}
• What is the difference between standard form and scientific notation?

  They are essentially the same concept
• What is the purpose of significant figures in scientific calculations?

  To convey the precision of measurements
• How do you determine the number of significant figures in a measurement?

  Count all non-zero digits and zeros between them
• If a number is expressed as 5.67 \times 10^3, how many significant figures does it have?

  Three significant figures
• How does rounding affect significant figures in calculations?

  It can reduce the precision of the result