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TX PACT ESSENTIALS ACADEMIC SKILLS 700 MATHEMATICS 703
EXAM NEWEST VERSION -2025/2026- 100+ QUESTIONS AND
VERIFIED ANSWERS 100% CORRECT GUARANTEED SUCCESS
Irrational Numbers
All include a symbol such as square root or pi
ex. must be written a symbol or radical.
real numbers that CANNOT be represented exactly as a ratio of two integers.
In order to be expressed exactly (without rounding), irrational numbers are often
written with symbols (like π, e, or \sqrt{2}2).
When irrational numbers are written using only ordinary numerals, they must be
rounded.
Irrational numbers, by definition, cannot be written in fraction form, and when
expressed as decimals, they have infinitely many, non-repeating digits.
Irrational numbers can be approximated (π \approx 3.14≈3.14 \approx≈ 22/7; e
\approx 2.72≈2.72, and \sqrt{2} \approx 1.412≈1.41) and then positioned on a
number line.
Natural Numbers
, 2
real numbers that can be pointed to in nature - one tree, two people, three dogs.
This set is also known as the counting numbers; it starts at 1 and goes up by 1s in
the same way that children first learn to count, yielding the infinitely large set of
values 1, 2, 3, 4, 5,...
Whole Numbers
the set of natural numbers and zero; it starts at 0 and goes up by 1s to create the
infinite set 0, 1, 2, 3, 4,...
Integers
positive and negative counting numbers and zero; the infinite set ...-3, -2, -1, 0, 1,
2, 3,...
Real numbers
can be represented in a variety of ways, with the most common being fractions,
percents, and decimals.
Fractions
usually represent partial numbers but can represent whole numbers.
½ means one half of one unit
4/1 means 4 of one unit
The top part of a fraction is referred to as the fraction's numerator. The bottom of
a fraction is its denominator. You can remember this with the mnemonic
"denominator is down." The fraction bar itself should be understood to be a
division symbol.
Percentages
usually represent part of a whole but can represent larger values.
TX PACT ESSENTIALS ACADEMIC SKILLS 700 MATHEMATICS 703
EXAM NEWEST VERSION -2025/2026- 100+ QUESTIONS AND
VERIFIED ANSWERS 100% CORRECT GUARANTEED SUCCESS
Irrational Numbers
All include a symbol such as square root or pi
ex. must be written a symbol or radical.
real numbers that CANNOT be represented exactly as a ratio of two integers.
In order to be expressed exactly (without rounding), irrational numbers are often
written with symbols (like π, e, or \sqrt{2}2).
When irrational numbers are written using only ordinary numerals, they must be
rounded.
Irrational numbers, by definition, cannot be written in fraction form, and when
expressed as decimals, they have infinitely many, non-repeating digits.
Irrational numbers can be approximated (π \approx 3.14≈3.14 \approx≈ 22/7; e
\approx 2.72≈2.72, and \sqrt{2} \approx 1.412≈1.41) and then positioned on a
number line.
Natural Numbers
, 2
real numbers that can be pointed to in nature - one tree, two people, three dogs.
This set is also known as the counting numbers; it starts at 1 and goes up by 1s in
the same way that children first learn to count, yielding the infinitely large set of
values 1, 2, 3, 4, 5,...
Whole Numbers
the set of natural numbers and zero; it starts at 0 and goes up by 1s to create the
infinite set 0, 1, 2, 3, 4,...
Integers
positive and negative counting numbers and zero; the infinite set ...-3, -2, -1, 0, 1,
2, 3,...
Real numbers
can be represented in a variety of ways, with the most common being fractions,
percents, and decimals.
Fractions
usually represent partial numbers but can represent whole numbers.
½ means one half of one unit
4/1 means 4 of one unit
The top part of a fraction is referred to as the fraction's numerator. The bottom of
a fraction is its denominator. You can remember this with the mnemonic
"denominator is down." The fraction bar itself should be understood to be a
division symbol.
Percentages
usually represent part of a whole but can represent larger values.
