Praxis 5003: Mathematics
place value system - CORRECT ANSWER-one in which the position of a digit in
a number determines its value
base ten - CORRECT ANSWER-standard system. Each place represents ten
times the value of the place to its right.
Place value chart - CORRECT ANSWER-a way to make sure digits are in the
right place
powers of 10 - CORRECT ANSWER-each digit to the left of the decimal point
increases progressively in powers of ten. Each digit to the right decreases
progressively in powers of ten.
rounding - CORRECT ANSWER-it's important to look at the number in the next
smaller place. If this number is 5 or more, the number in the place we're rounding
is increased by 1 and all other numbers are changed to 0. If it's less than 5 the
number we're looking at stays the same and everything to the right is changed to
0.
rational numbers - CORRECT ANSWER-integers, fractions, mixed numbers,and
both terminating and repeating decimals.
find the sum of 152.3 and 36.342 - CORRECT ANSWER-188.642
find the difference of 152.3 and 36.342 - CORRECT ANSWER-115.958
find the product of 3.52 and 4.1 - CORRECT ANSWER-14.432
find the quotient of 5.3 divided by 1.45 - CORRECT ANSWER-3.7
addition - CORRECT ANSWER-indicated by the expressions: sum, greater than,
and, more than, increased by, added to, entire, total
, subtraction - CORRECT ANSWER-can be expressed by: difference, fewer than,
minus, less than, decreased by
multiplication - CORRECT ANSWER-is shown by: product, times, multiplied by,
twice
*may include each or per hour
division - CORRECT ANSWER-is used for: quotient, divided by, ratio
*may include each or per hour
At his job, John gets paid $20 for every hour he works. If John made $940 in a
week, how many hours did he work? - CORRECT ANSWER-940/20=47
remainder - CORRECT ANSWER-If a divisor does not divide evenly into a
dividend we express the leftover amount as this. Usually indicated a fractional
answer.
algorithms - CORRECT ANSWER-methods or strategies for solving problems
partial sums method - CORRECT ANSWER-First we sum the columns from left
to right, then we add the column values.
column addition method - CORRECT ANSWER-First we add the digits in each
column, then we perform the place caries from right to left.
right to left addition - CORRECT ANSWER-traditional method. We sum the
columns from right to left, performing carries mentally or writing them down.
commutative property - CORRECT ANSWER-The property that says that two or
more numbers can be added or multiplied in any order without changing the
result.
associative property - CORRECT ANSWER-Changing the grouping of numbers
will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with
multiplication
place value system - CORRECT ANSWER-one in which the position of a digit in
a number determines its value
base ten - CORRECT ANSWER-standard system. Each place represents ten
times the value of the place to its right.
Place value chart - CORRECT ANSWER-a way to make sure digits are in the
right place
powers of 10 - CORRECT ANSWER-each digit to the left of the decimal point
increases progressively in powers of ten. Each digit to the right decreases
progressively in powers of ten.
rounding - CORRECT ANSWER-it's important to look at the number in the next
smaller place. If this number is 5 or more, the number in the place we're rounding
is increased by 1 and all other numbers are changed to 0. If it's less than 5 the
number we're looking at stays the same and everything to the right is changed to
0.
rational numbers - CORRECT ANSWER-integers, fractions, mixed numbers,and
both terminating and repeating decimals.
find the sum of 152.3 and 36.342 - CORRECT ANSWER-188.642
find the difference of 152.3 and 36.342 - CORRECT ANSWER-115.958
find the product of 3.52 and 4.1 - CORRECT ANSWER-14.432
find the quotient of 5.3 divided by 1.45 - CORRECT ANSWER-3.7
addition - CORRECT ANSWER-indicated by the expressions: sum, greater than,
and, more than, increased by, added to, entire, total
, subtraction - CORRECT ANSWER-can be expressed by: difference, fewer than,
minus, less than, decreased by
multiplication - CORRECT ANSWER-is shown by: product, times, multiplied by,
twice
*may include each or per hour
division - CORRECT ANSWER-is used for: quotient, divided by, ratio
*may include each or per hour
At his job, John gets paid $20 for every hour he works. If John made $940 in a
week, how many hours did he work? - CORRECT ANSWER-940/20=47
remainder - CORRECT ANSWER-If a divisor does not divide evenly into a
dividend we express the leftover amount as this. Usually indicated a fractional
answer.
algorithms - CORRECT ANSWER-methods or strategies for solving problems
partial sums method - CORRECT ANSWER-First we sum the columns from left
to right, then we add the column values.
column addition method - CORRECT ANSWER-First we add the digits in each
column, then we perform the place caries from right to left.
right to left addition - CORRECT ANSWER-traditional method. We sum the
columns from right to left, performing carries mentally or writing them down.
commutative property - CORRECT ANSWER-The property that says that two or
more numbers can be added or multiplied in any order without changing the
result.
associative property - CORRECT ANSWER-Changing the grouping of numbers
will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with
multiplication
