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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
3
4
\frac{3}{4}
4
3
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
×
1
0
11
6.02 \times 10^{11}
6.02
×
1
0
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
t
h
n^{th}
n
t
h
term of an arithmetic sequence?
Using the formula
a
n
=
a_n =
a
n
=
a
1
+
a_1 +
a
1
+
(
n
−
1
)
d
(n-1)d
(
n
−
1
)
d
, where
a
1
a_1
a
1
is the first term and
d
d
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
16
\sqrt{16}
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