ASVAB Arithmetic Reasoning and Mathematics 2023/2024 with Certified Solutions

ASVAB Arithmetic Reasoning and Mathematics 2023/2024 with Certified Solutions Numbers The basic buildings blocks of mathematics. Integer Any positive or negative whole number including zero. (Do not include fractions, decimals, or mixed numbers. Prime number Any whole number greater than 1 that only has two factors, itself and 1. (Ex: 1, 3, 5) Composite Number any whole number greater than 1 that has more than two factors. (Ex: 2, 4, 6) Even Number Any integer that can be divided by 2 without leaving a remainder (Ex: 2, 4, 6) Odd Number Any integer that cannot be divided evenly by 2. (Ex: 1, 3, 5) Decimal Number any number that uses a decimal point to show the part of the number that is less than one. Example: 1.234. Decimal Point A symbol used to separate the ones place from the tenths place in decimals or dollars from cents in currency Decimal place the position of a number to the right of the decimal point. In the decimal 0.123, the 1 is in the first place to the right of the decimal point, indicating tenths; the 2 is in the second place, indicating hundredths; and the 3 is in the third place, indicating thousandths. The decimal Or base 10, system is a number system that uses 10 different digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) Rational numbers include all integers, decimals, and fractions. Any terminating or repeating decimal number is a rational number. Irrational Numbers Numbers that cannot be written as fractions or decimals because the number of the decimal places is infinite and there is no recurring pattern of digits within the number . Real Numbers the set of all rational and irrational numbers The Number Line A graph to see the distance between numbers. Numbers in word form and Place value The translation of numbers to word form. What does 10^2 represent? Hundreds place or 100 What does 10^-3 represent? Thousands place or 0.001 Absolute Value The distance a number is from zero on a number line What is the absolute value of | -3 | 3 What is the absolute value of | 5 | 5 Word form of 0.008 8 thousandths 478 in word form Four- hundred seventy eight 13.113 in word form Thirteen point one hundred and thirteen thousandths 0.06 in word form Six hundredths Nine thousand four hundred thirty three in number form. 9,433 Twenty nine in number form 29 Forty six point two hundred forty three thousandths In number form 46.243 Solve for x : | x - 2 | + 3 = 7 X = 6 Addition Increases the value of one quantity by the value of another quantity Subtraction Decreases the value of one quantity Multiplication Repeated addition Division one of the parts after something has been divided Parentheses Used to designate which operations should be done first when there are multiple operations. Exponents A superscript number placed next to another number on the top. a^1 = a 1^n = 1 a^0 = 1 a^n x a^m = a^n+m a^n/a^m = a^n-m ( a^n )^m = a^n x m ( a x b )^n = a^n x b^n ( a / b )^n = a^n / b^n a^-n = 1/a^n Root Another way of writing a fractional exponent A perfect square a square of a whole number Giga- One billion wats Mega- One million wats Kilo- One thousand wats Deci- One tenth wats Centi- One hundredth wats Milli- One thousandth wats Micro- One millionth wats Convert 512 square inches into square meters 0.330m^2 The length of one yard 3 feet. How many feet are in a mile? 5,280 feet How many square yards are in an acre? 4840 square yards. Square Mile has how many acres? 640 acres Fluid Ounce = Fl oz, 8 fluid drams, 29.573 millimeters Cup = Cp, 8 fluid ounces, 0.237 liters Pint = Pt, 16 fluid ounces, 0.473 Liter Quart = Qt, 2 pints, 0.946 Liter Gallon = Gal, 4 quarts, 3.785 Teaspoon = T or tsp, 1 fluid dram, 5 milliliters Table Spoon = T or tbsp, 4 fluid drams, 15 or 16 milliliters cubic centimeter = Cc or cm^3, 0.271 drams, 1 milliliter Ounce = Oz, 16 drams, 28.35 grams Pound = Lb, 16 ounces, 453.6 grams Ton = T, 2,000 pounds, 907.2 kilograms