ABCTE Multiple Subject - Mathematics correctly answered graded A+

ABCTE Multiple Subject - Mathematics Understand the structure of the real number system - correct answer (including whole numbers, integers, rational and irrationals) and be able to perform operations within the Real Number system. Examples: Natural Numbers1, 2, 3, 4, ..., Whole Numbers 0,1,2,3,4... Integers...-3,-2,-1,0,1,2,3,... Rational NumbersNumbers that can be expressed as fractions. 2/3 is rational. Irrational NumbersNumbers that can not be written as fractions. 3.14159... is irrational. Composite numbers have more than two factors but not an infinite number of factors. All even numbers (except the number two) are composite, since they can all be divided by two. Understand base ten place value - correct answer and identify the place value for each digit in whole numbers and decimals Example: 1, 10, 100, 1000.... Compare and order real numbers - correct answer (including irrationals and rationals, in fraction and decimal form) using the appropriate symbols, =, <, >. Example: 2=2, 1< 2, 2>1 Identify and represent on a number line - correct answer whole numbers, fractions, decimals, mixed numbers, and positive and negative integers. Understand the difference between - correct answer rote and rational counting (one-to-one correspondence). Example: Rational counting "1penny, 2 pennies" Rote counting "1,2,3,4,5 6,7,8,9,10". Understand the relationship between - correct answer number lines, counting and measurement. Round off whole numbers - correct answer to the nearest ten, hundred, or thousand, ten thousand, or hundred thousand and round off decimals to the nearest tenth, hundredth, or thousandth. Example: Round 23, 36, 55, and 99 Answer 20, 40, 60, 100 Make reasonable estimates - correct answer when comparing larger or smaller numbers e.g., by working with orders of magnitude. Estimate and round - correct answer very large (e.g., millions) and very small (e.g., thousandths) numbers. Example: 6,852,783 rounded to the nearest million is 7,000,000 If less than 5, round down, but it more than 5, round up 232.423 = 232.4 Understand number theory concepts - correct answer of primes, factors, multiples, and divisibility rules and understand relationships among the concepts (e.g., perform a prime factorization on a number less than 100.) Examples: Prime numbers 2, 3, 5 are ______ because they have two different factors (2 = 1 x 2), (3 = 1 x 3), (5 = 1 x 5) Find factors for 6, the factors of 6 are 1, 2, 3 and 6. The number 6 can be multipied by 1, 2, 3 and 6 and divided as well by those numbers. Recognize name and compare - correct answer unit fractions.