TSI MATH PORTION
Comprehensive Questions with
Verified Answers Graded A+
Prime Number - Answer: A whole number that has exactly two factors, 1 and itself.
Composite Number - Answer: A number that has more than two factors.
Rational Number - Answer: A number that can be written as a fraction or a decimal, including
repeating decimals.
Irrational Numbers - Answer: A number that cannot be written as a fraction or decimal. Pi is an
irrational number, for example.
Absolute Value - Answer: The distance a number is from zero on a number line.
0.1, 0.01, 0.001 - Answer: Tenths, hundredths, thousandths.
Addition with signs - Answer: Take the absolute value of the numbers, perform the addition and
then take the sign of the larger absolute value.
Subtraction with signs - Answer: Change the sign of the subtrahend (numbering being
subtracted) and then take the sign of the larger absolute value.
, Multiplication with signs - Answer: If the signs are the same the product is positive. If the signs
are opposite, the product is negative. If more that two factor are multiplied, then the sign is
determined by how many negative factors are present. An odd amount of negative factors
produce a negative product, an even amount of negative factors produce a positive product.
Division with signs - Answer: If the dividend and the divisor are the same sign it's positive, if
they are opposite it's negative.
PEMDAS "Order of Operations" - Answer: The order in which operations should be done:
- Parentheses
- Exponents
- Multiplication/Division (Preformed left to right)
- Addition/Subtraction (Preformed left to right)
Exponent - Answer: A superscript number placed next to another number that indicates how
many times the base number is multiplied by itself.
Roots - Answer: Another way of writing a fractional exponent. Nearly all roots you will
encounter will be square roots. Say a is the square root of b, that means a multiplied by itself is
b.
Perfect Square - Answer: A number that has an integer for a square root. The 10 perfect squares
from 1-100 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
37^0 = _____ - Answer: 1. Any number raised to the power of 0 is 1.
1^30 = _____ - Answer: 1. The number 1 raised to any power is equal to 1, since 1 X 1 is itself.
Comprehensive Questions with
Verified Answers Graded A+
Prime Number - Answer: A whole number that has exactly two factors, 1 and itself.
Composite Number - Answer: A number that has more than two factors.
Rational Number - Answer: A number that can be written as a fraction or a decimal, including
repeating decimals.
Irrational Numbers - Answer: A number that cannot be written as a fraction or decimal. Pi is an
irrational number, for example.
Absolute Value - Answer: The distance a number is from zero on a number line.
0.1, 0.01, 0.001 - Answer: Tenths, hundredths, thousandths.
Addition with signs - Answer: Take the absolute value of the numbers, perform the addition and
then take the sign of the larger absolute value.
Subtraction with signs - Answer: Change the sign of the subtrahend (numbering being
subtracted) and then take the sign of the larger absolute value.
, Multiplication with signs - Answer: If the signs are the same the product is positive. If the signs
are opposite, the product is negative. If more that two factor are multiplied, then the sign is
determined by how many negative factors are present. An odd amount of negative factors
produce a negative product, an even amount of negative factors produce a positive product.
Division with signs - Answer: If the dividend and the divisor are the same sign it's positive, if
they are opposite it's negative.
PEMDAS "Order of Operations" - Answer: The order in which operations should be done:
- Parentheses
- Exponents
- Multiplication/Division (Preformed left to right)
- Addition/Subtraction (Preformed left to right)
Exponent - Answer: A superscript number placed next to another number that indicates how
many times the base number is multiplied by itself.
Roots - Answer: Another way of writing a fractional exponent. Nearly all roots you will
encounter will be square roots. Say a is the square root of b, that means a multiplied by itself is
b.
Perfect Square - Answer: A number that has an integer for a square root. The 10 perfect squares
from 1-100 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
37^0 = _____ - Answer: 1. Any number raised to the power of 0 is 1.
1^30 = _____ - Answer: 1. The number 1 raised to any power is equal to 1, since 1 X 1 is itself.