Number

• What operations can be performed with integers?

  Addition, subtraction, multiplication, and division
• Why is it important to convert between fractions, decimals, and percentages?

  It allows for easier comparison and calculation in different contexts
• How do you convert the fraction $\frac{3}{4}$ to a decimal?


  By dividing 3 by 4 to get 0.75
• What is the difference between mixed numbers and improper fractions?

  A mixed number combines a whole number and a fraction, while an improper fraction has a numerator larger than its denominator
• What are the techniques for rounding numbers?

  • Rounding to different decimal places
  • Rounding to significant figures
• Why is estimation important in calculations?

  It helps check the reasonableness of answers
• What is standard form in mathematics?

  It is a way of expressing large and small numbers using powers of ten
• How would you express the number 602000000000 in standard form?

  As $6.02 \times 10^{11}$
• What is the process for performing calculations with numbers in standard form?

  Align the powers of ten and perform the operations on the coefficients
• What types of sequences can be identified and generated?

  Arithmetic and geometric sequences
• What is the difference between recursive and explicit formulas for sequences?

  A recursive formula defines each term based on previous terms, while an explicit formula defines each term directly
• How do you calculate the $n^{th}$ term of an arithmetic sequence?


  Using the formula $a_n =$$a_1 +$$(n-1)d$, where $a_1$ is the first term and $d$ is the common difference
• What operations can be performed with powers and roots?

  Working with integer and fractional powers, including negative exponents
• How do you simplify expressions involving square roots?

  By factoring out perfect squares and simplifying
• What is the value of $\sqrt{16}$?


  4
• How do negative exponents affect the value of a number?

  They represent the reciprocal of the number raised to the positive exponent
• What are the key concepts in working with powers and roots?

  • Integer and fractional powers
  • Negative exponents
  • Simplifying square and cube roots