Computation

• What is a decimal?

  A number written with a decimal point
• In the number 25.0, what does the 2 represent?

  Two tens
• In the number 36.02, what does the 2 represent?

  Two hundredths
• How is a decimal related to a fraction?

  A decimal is another way of writing a fraction
• What is 0.12 expressed as a fraction?

  12 out of 100 (12/100)
• What does it mean to reduce a fraction to its simplest form?

  To identify a number that divides evenly into both parts
• What is the highest common factor?

  The largest number that divides both numerator and denominator
• How can ratios be expressed?

  As a fraction
• What is the ratio of 8 out of 10 expressed in simplest form?

  4:5
• How would you express 2 out of 10 as a ratio?

  1:5
• What does 12% represent?

  12 out of 100
• How is 12% related to 0.12?

  They are equivalent values
• What is the formula for finding the arithmetic mean?

  Add all scores and divide by the number of scores
• What is standard form used for?

  To represent very large or small numbers
• How do you convert 3,280,000 to standard form?

  3.28 x 10^6
• How do you convert 0.0000328 to standard form?

  3.28 x 10^-5
• What is the process for moving the decimal point in standard form?

  Move to obtain a value between 1 and 10
• How do you round large numbers to significant figures?

  Round to the nearest thousand, ten thousand, etc.
• How would you round 32,462 to two significant figures?

  32,000
• How would you round 0.003256 to two significant figures?

  0.0033
• What does it mean to estimate results?

  To make a rough calculation
• What are the key concepts related to decimals, fractions, ratios, and percentages?

  • Decimals: Numbers with a decimal point
  • Fractions: Another way to express parts of a whole
  • Ratios: Express fractions in a different format
  • Percentages: Fractions out of 100
• What are the steps to convert numbers to standard form?

  1. Move the decimal point to get a value between 1 and 10
  2. Count how many places the decimal moved
  3. Write in the form of $a \times 10^n$
• What are significant figures and how are they used?

  • Significant figures: Digits that carry meaning contributing to precision
  • Used to round numbers for clarity
  • Rounding rules: Nearest thousand, hundred, etc.