Math

• How does 6.32 round to one significant figure?

  6
• What does 6.51 round to one significant figure?

  7
• How does 0.503 round to one significant figure?

  0.5
• What happens when dividing by 0.5?

  It doubles the answer
• What is the result of dividing 42 by 0.5?

  84
• What is the prime factorization of 180 in index form?

  2² × 3² × 5
• What is the first step in writing 180 as a product of prime factors?

  Use a prime factor tree
• How do you calculate the total cost of the washing machine after VAT?

  Add £640 and £128
• What is the monthly payment for the washing machine?

  £70
• How do you find 10% of an amount?

  Divide the amount by 10
• What is 20% of £640?

  £128
• What is the process for multiplying fractions?

  Multiply the top and bottom numbers
• What is the product of $\frac{3}{4} \times \frac{2}{3}$?


  $\frac{1}{2}$
• What is the first step in dividing fractions?

  Keep the first fraction the same
• What is required to add fractions?

  A common denominator
• What is the sum of <latex{7}{12} + \frac{2}{3}</latex>?

  <latex{2 \frac{5}{12}}</latex>
• How do you convert a mixed number to an improper fraction?

  Multiply and add the numerator
• What is the total number of counters if two-fifths are blue and 18 are blue?

  45 counters
• How do you find the total when given a fraction of that total?

  Divide by the fraction's numerator
• What is the standard form of 5600?

  5.6 × 10³
• What is the standard form of 0.0034?

  3.4 × 10⁻³
• How do you convert a number in standard form to an ordinary number?

  Move the decimal point accordingly
• How do you simplify the powers when multiplying numbers in standard form?

  Add the exponents
• How do you convert a percentage to a decimal?

  Divide by 100
• What is 35% as a decimal?

  0.35
• What is 35% as a fraction in simplest form?

  \(\frac{7}{20}\)
• What are the steps to write a number in standard form?

  • Make the number between 1 and 10
  • Count the decimal jumps
  • Use positive power for large numbers
  • Use negative power for small numbers
• What are the steps to add fractions?

  1. Convert mixed numbers to improper fractions
  2. Find a common denominator
  3. Adjust fractions to have the same denominator
  4. Add the numerators
  5. Simplify if necessary
• What are the steps to multiply fractions?

  1. Multiply the numerators
  2. Multiply the denominators
  3. Simplify the result if necessary
• What are the steps to divide fractions?

  1. Keep the first fraction the same
  2. Flip the second fraction
  3. Multiply the fractions
  4. Simplify the result if necessary
• What are the steps to convert a percentage to a fraction?

  1. Write the percentage over 100
  2. Simplify the fraction if necessary
• What are the steps to convert a fraction to a decimal?

  1. Divide the numerator by the denominator
  2. Adjust the decimal point as needed
• What are the steps to convert a decimal to a percentage?

  1. Multiply the decimal by 100
  2. Add the percent sign
• What are the steps to convert a decimal to standard form?

  1. Identify the significant digits
  2. Count the decimal places moved
  3. Use a negative exponent for small numbers
• What are the steps to convert a number in standard form to an ordinary number?

  1. Identify the significant digits
  2. Count the decimal places to move
  3. Fill in zeros as needed
• How do you write 35 percent as a fraction?

  35 out of 100
• What is the simplest form of the fraction for 35 percent?

  7 over 20
• What do you divide both 35 and 100 by to simplify?

  5
• Why do we convert numbers to the same format for ordering?

  To easily compare their values
• What is the percentage equivalent of 0.30?


  30 percent