Pearson Math Proctored Exam Question Fully Solved.

commutative property - correct answer 2*5=5*2 Same regardless of the order of the factors (addition and multiplication follow this law) Associative property - correct answer (2*5)*3=2*(5*3) same regardless of grouping (addition and multiplication follow this law) Distributive property - correct answer 2*(3+4)= (2*3)+(2*4)=14 multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Zero Property - correct answer 3+0=3 and 3*0=0 sum of a number and 0 is the number. Multiplication, the product of a number and 0 is 0. integers - correct answer set of positive and negative numbers including zero. integers do not include fractions, decimals, or mixed numbers (7-3/4) Prime number - correct answer whole number greater than 1 that has only two factors, itself and 1. can be divided only even by 1 and its self. composite number - correct answer a whole number greater than 1 that has more than 2 different factors. any number not prime. Rational numbers - correct answer set of whole numbers, integers, decimals, and fractions. Rationals numbers can be expressed as either a negative or positive value. any terminating decimal that can be expressed as a fraction is a rational number. ex/ 45.6 can be written as 456/10 irrational numbers - correct answer numbers that are not rational. ex/ square root of 2 they cannot be written as fractions or decimals because the number of decimal places is infinite and a recurring pattern does not exist with the number. real numbers - correct answer set of all rational and irrational numbers and are used in all applications of measuring, comparing, counting, or determining quantities. Factors - correct answer numbers multiplied together to obtain a product 2*3=6 2 and 3 are factors common factor - correct answer number that divides exactly into two or more other numbers. ex/ the factors of 12 are 1,2,3,4,6, and 12. factors of 15 are 1,3,5, and 15 so common factors are 1 and 3. prime factor - correct answer ex/ prime factors of 12 are 2 and 3. ex/prime factor of 15 are 3 and 5 numerator - correct answer top number of fraction denominator - correct answer bottom number of fraction undefined fraction - correct answer zero in the denominator (3/0) binary or base two system - correct answer only used numbers 0 and 1 PEMDAS - correct answer order of operation- Parentheses, exponents, multiplication,division, addition, subtraction cardinal numbers - correct answer numbers used for counting ordinal numbers - correct answer show position 1st, 2nd,... least common denominator (LCD) - correct answer ex/ lowest common denominator for 2/3 and 4/9 is 9 so the fraction can be expressed as 6/9 and 4/9 for easier comparison. greatest common factor (GCF) - correct answer factors of 15 are 1,3,5, and 15 and factors of 35 are 1,5, 7, and 35. so the GCF is 5. least common multiple (LCM) - correct answer multiples of 3 are 3,6,9,12,15 ... multiple of 5 are 5, 10,15,20.. so LCM of 3 and 5 are 15. Equivalent fractions - correct answer 1/5 same as 5/25 common or simple fractions - correct answer fractions at their simplest form ex/ 1/2 or 5/7 mixed numbers - correct answer integer and fraction 4-1/5 express fraction as percent - correct answer %=100*3/5=300/5=60 therefor 3/5=60% express percent as fraction - correct answer 96%=96/100 =24/25 show decimals to fractions and fractions to decimals - correct answer 0.23=23% 5.34=534% or 700%=7.0, 86%=.86 story problem - correct answer find 30% of 33 take .3*33=9.9 so 9.9 is 30% of 33 story problem - correct answer 7 pizza, 9 hamburgers, 4 tocos. whats the percent of tocos. so 7+9+4=20 so 4/20 eat tocos or 20/100 or 20% mean - correct answer sum of values / number of values median - correct answer 1,2,3,4,4,5,5,5,6,7 4+5=9/2=4.5 median mode - correct answer most common number in set. can be more than one mode absolute value - correct answer distance from zero so -3 and 3 have the same absolute value exponents - correct answer a^n*a^m= a^(n+m) a^n/a^m= a^(n-m) (a^n)^m=a^(n*m) 5^1/4 *5^3/4= 5^(1/4+3/4)=5^1=5 dont understand (a*b)^n=a^n*b^m or (a/b^m)= a^m/ b^m square root - correct answer 4 is square of 16 or 5 is square of 25