TEXES CORE SUBJECTS EC-6 (291) –
MATH EXAM 2025 QUESTIONS AND
ANSWERS
Integer - ....ANSWER ...-a whole number that includes all positive numbers,
negative numbers, and 0; does not include decimals or fractions
Natural number - ....ANSWER ...-all positive or nonnegative integers,
including 0; does not include negative numbers, decimals, or fractions
Rational number - ....ANSWER ...-a number that can be expressed as a ratio
or quotient of two nonzero integers
How can rational numbers be expressed? - ....ANSWER ...-As common
fractions or decimals
Irrational numbers - ....ANSWER ...-A number that cannot be expressed as
an exact ratio of two integers
What is a characteristic of an irrational number in decimal form? -
....ANSWER ...-The decimal will never terminate and never repeat
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,Define divisor and dividend - ....ANSWER ...-Divsor = number doing the
dividing Dividend = number being divided
Homogeneous fraction - ....ANSWER ...-fractions with the same
denominator
common denominator - ....ANSWER ...-number that is a multiple of the
original denominators
How do you multiply fractions? - ....ANSWER ...-Multiply the numerators
and denominators horizontally and then simplify the remaining product
Reciprocal fraction - ....ANSWER ...-a fraction with the numerator and
denominator switched
How do you divide fractions? - ....ANSWER ...-take the reciprocal of the
second fraction (the one doing the dividing) and multiply them together
What does a negative exponent indicate? - ....ANSWER ...-A reciprocal
fraction
Expanded form - ....ANSWER ...-shows the place value of each digit;
example 542 = 500 + 40 + 2, which is equal to 5 hundreds, 4 tens, and 2 ones
Prime numbers - ....ANSWER ...-natural numbers greater than 1 that are
divisible only by 1 and themselves (2, 3, 5, 7, 11, 13, 17, 19...)
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, Composite numbers - ....ANSWER ...-natural numbers greater than zero
that are divisible by at least one other number besides 1 and themselves; they have
at least 3 factors, such as 9 having 1, 3, and 9
prime factorization - ....ANSWER ...-writing the product of prime numbers
that make up the number
How do you perform prime factorization? - ....ANSWER ...-Factor a known
prime number into the given number; repeat on all factors until no more
factorization can take place
Greatest common divisor - ....ANSWER ...-the largest positive integer that
divides into the numbers without producing a remainder
Commutative property - ....ANSWER ...-The order of the addends (terms
being added) or factors (in multiplication) do not change the result;
addition ex. a + b = b + a
multiplication ex. a × b = b × a
Associative property of multiplication and division - ....ANSWER ...-The
order of the addends or factors will not change the sum or the product;
addition ex. (a+b) + c = a + (b+c)
multiplication ex. (a × b) × c = a × (b × c)
....COPYRIGHT ©️ 2025 ALL RIGHTS RESERVED...TRUSTED & VERIFIED 3
MATH EXAM 2025 QUESTIONS AND
ANSWERS
Integer - ....ANSWER ...-a whole number that includes all positive numbers,
negative numbers, and 0; does not include decimals or fractions
Natural number - ....ANSWER ...-all positive or nonnegative integers,
including 0; does not include negative numbers, decimals, or fractions
Rational number - ....ANSWER ...-a number that can be expressed as a ratio
or quotient of two nonzero integers
How can rational numbers be expressed? - ....ANSWER ...-As common
fractions or decimals
Irrational numbers - ....ANSWER ...-A number that cannot be expressed as
an exact ratio of two integers
What is a characteristic of an irrational number in decimal form? -
....ANSWER ...-The decimal will never terminate and never repeat
....COPYRIGHT ©️ 2025 ALL RIGHTS RESERVED...TRUSTED & VERIFIED 1
,Define divisor and dividend - ....ANSWER ...-Divsor = number doing the
dividing Dividend = number being divided
Homogeneous fraction - ....ANSWER ...-fractions with the same
denominator
common denominator - ....ANSWER ...-number that is a multiple of the
original denominators
How do you multiply fractions? - ....ANSWER ...-Multiply the numerators
and denominators horizontally and then simplify the remaining product
Reciprocal fraction - ....ANSWER ...-a fraction with the numerator and
denominator switched
How do you divide fractions? - ....ANSWER ...-take the reciprocal of the
second fraction (the one doing the dividing) and multiply them together
What does a negative exponent indicate? - ....ANSWER ...-A reciprocal
fraction
Expanded form - ....ANSWER ...-shows the place value of each digit;
example 542 = 500 + 40 + 2, which is equal to 5 hundreds, 4 tens, and 2 ones
Prime numbers - ....ANSWER ...-natural numbers greater than 1 that are
divisible only by 1 and themselves (2, 3, 5, 7, 11, 13, 17, 19...)
....COPYRIGHT ©️ 2025 ALL RIGHTS RESERVED...TRUSTED & VERIFIED 2
, Composite numbers - ....ANSWER ...-natural numbers greater than zero
that are divisible by at least one other number besides 1 and themselves; they have
at least 3 factors, such as 9 having 1, 3, and 9
prime factorization - ....ANSWER ...-writing the product of prime numbers
that make up the number
How do you perform prime factorization? - ....ANSWER ...-Factor a known
prime number into the given number; repeat on all factors until no more
factorization can take place
Greatest common divisor - ....ANSWER ...-the largest positive integer that
divides into the numbers without producing a remainder
Commutative property - ....ANSWER ...-The order of the addends (terms
being added) or factors (in multiplication) do not change the result;
addition ex. a + b = b + a
multiplication ex. a × b = b × a
Associative property of multiplication and division - ....ANSWER ...-The
order of the addends or factors will not change the sum or the product;
addition ex. (a+b) + c = a + (b+c)
multiplication ex. (a × b) × c = a × (b × c)
....COPYRIGHT ©️ 2025 ALL RIGHTS RESERVED...TRUSTED & VERIFIED 3
