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Exam (elaborations)

ILTS 305 Math.

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Exam of 10 pages for the course ACI Certification at ACI Certification (ILTS 305 Math.)

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  • June 23, 2024
  • 10
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers
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ILTS 305 Math
Number - correct answer-basic building block

integer - correct answer-All whole numbers (both positive and negative) and zero.

prime number - correct answer-A whole number that has exactly two factors, 1 and itself.

composite number - correct answer-A whole number greater than 1 that has more than two
factors.

rational number - correct answer-A number that can be written as a fraction

irrational number - correct answer-a number that can NOT be expressed as a ratio of two
integers or as a repeating or terminating decimal - Pi or any square root of an imperfect
square are considered irrational

Number line - correct answer-

absolute value - correct answer-The distance a number is from zero on a number line

divisor - correct answer-The number by which another number is divided.

quotient - correct answer-the answer to a division problem

Parenthesis - correct answer-

Exponet - correct answer-number that represents the number of times the base is used as a
factor

root - correct answer-a solution of an equation

perfect square - correct answer-a square of a whole number

order of operations - correct answer-PEMDAS (parenthesis, Exponents, Multiplication,
Division, Addition, Subtraction)

common factor - correct answer-Any common factor of two or more numbers.

prime factorization - correct answer-a number written as the product of all its prime factors

GCF (Greatest Common Factor) - correct answer-the greatest number that is a factor of two
or more numbers

least common multiple (LCM) - correct answer-The smallest multiple (other than zero) that
two or more numbers have in common.

, fraction - correct answer-part of a whole

numerator - correct answer-the top number in a fraction

denominator - correct answer-The bottom number in a fraction

equivelent fractions - correct answer-when one fraction is equal to another.

common denominator - correct answer-A denominator that is the same in two or more
fractions.

Adding and Subtracting Fractions - correct answer-make denominator same number then
add or subtract across

Multiplying Fractions - correct answer-1. Multiply the numerators.
2. Multiply the denominators.

Dividing Fractions - correct answer-To divide fractions, invert the second one and multiply

Multiplying mixed numbers - correct answer-Change to an improper fraction and multiply;
then change the answer, if in improper form, back to a mixed number and reduce if
necessary.

Example: 3 1/3 x 2 1/4 = 10/3 x 9/4 = 90/12 =
7 6/12 = 7 1/2`

adding and subtracting decimals - correct answer-Line up the decimal points and proceed as
usual

Multiplying Decimals - correct answer-Ignore the decimal point until the answer. Count the
number of Decimal places in both factors. Use that number of decimal places to write the
answer.

Dividing Decimals - correct answer-Move the decimal to the right on both numbers until there
is nothing to the right of the decimal

percentages - correct answer-part = (percent / 100) x whole
e.g. 7 + 9 + 4 = 20, what % is 4 of whole.
4/20 = (4x5)/(20x5) = =20%

direct proportion - correct answer-a relationship between two variables in which their ratio is
constant

inverse proportion - correct answer-a relation between two quantities such that one
increases in proportion as the other decreases.

ratio - correct answer-A comparison of two quantities by division

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