Number

Cards (17)

  • 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 34\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 6.02×10116.02 \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 nthn^{th} term of an arithmetic sequence?

    Using the formula an=a_n =a1+ a_1 +(n1)d (n-1)d, where a1a_1 is the first term and dd 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 16\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