Business Mathematics Past Paper WS2024/25 PDF

Business Mathematics – WS2024/25 Mag. Alfred Siedl Numbers & Units Decimal Number System A system using 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Position of a digit within a number defines its value Group every three digits of a whole number – comma separator Decimal point se...

Business Mathematics – WS2024/25 Mag. Alfred Siedl Numbers & Units Decimal Number System A system using 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Position of a digit within a number defines its value Group every three digits of a whole number – comma separator Decimal point separates integer part from fractional part hundred thousands hundred millions ten-thousandths hundred trillions hundred billions ten thousands thousandths thousandths ten millions hundredths ten trillions ten billions thousands millionths hundreds hundred- millions trillions billions tenths ones tens , , , ,. Business Mathematics 3  Reading Numbers simplified reading hundred millions ten-thousandths hundred trillions hundred billions ten thousands thousandths thousandths 86,245.31 ten millions hundredths ten trillions ten billions thousands thousands millionths hundreds hundred- hundred millions trillions billions tenths eight six comma two four five point ones tens , , , ,. three one sixty-eight million, five hundred three thousand, seven 6 8 , 5 0 3 , 7 1 0 hundred ten 1 , 0 9 2 , 0 0 0 , 4 0 4 , 0 0 0 one trillion, ninety-two billion, four hundred four thousand eighty-six thousand, two hundred forty-five and thirty-one 8 6 , 2 4 5. 3 1 hundredths five hundred six million, three hundred seventy thousand, six 5 0 6 , 3 7 0 , 0 0 6. 9 and nine tenths thirteen and six thousand eight hundred twenty-eight ten- 1 3. 6 8 2 8 thousandths 0. 0 0 0 0 0 2 two millionths 2 5 8 , 0 0 0 , 0 0 0 , 0 0 0 two hundred fifty-eight billion Business Mathematics 4 Basic Math Terminology or five times (multiplied by) four equals twenty five divided by four equals one point two five five over four five squared five cubed base to theexponent exponent power Business Mathematics 5 Basic Math Terminology or five times or five variable coefficient equation constant seven is greater than five is less than or equal to eleven inequality Business Mathematics 6 Rounding Numbers Rounding (to the nearest)  Find the digit to which the number should be rounded  If digit to the right is 4 do not change the digit to be rounded drop all digits to the right or replace them with 0  If digit to the right is 5 increase the digit to be rounded by 1 drop all digits to the right or replace them with 0 Rounding UP (to the next)  Find the digit to which the number should be rounded increase the digit to be rounded by 1 drop all digits to the right or replace them with 0 Business Mathematics 7  Rounding Numbers 4,836 to tens 4,836 4,840 4,836 to hundreds 4,836 4,800 251,652 to thousands 251,652 252,000 251,652 to ten thousands 251,652 250,000 251,652 to hundred thousands 251,652 300,000 129,866,403 to millions 129,866,403 130,000,000 63.0467 to the next ones 63.0467 64 63.0467 to tenths (1 d.p.) 63.0467 63.0 299.99517 to hundredths (2 d.p.) 299.99517 300.00 0.253467 to 4 d.p. 0.253467 0.2535 789,304,005 all the way (leftmost digit) 789,304,005 800,000,000 Business Mathematics 8 Scientific Notation A way of expressing very large or very small numbers Any positive number can be written as or (m … mantissa)  13,850,000 = 1,385,000 101 or 138,500 102 or 13,850 103 or 1,385 104 …  0.000000724 = 724 10-9 or 72.4 10-8 or 7.24 10-7 … Normalized notation  74,630,000,000,000 = 7.463 1013  0.000000519 = 5.19 10-7 Engineering notation – exponent restricted to multiples of 3  74,630,000,000,000 = 74.63 1012  0.000000519 = 519 10-9 Business Mathematics 9  Metric System – Prefixes & Symbols Number Scientific Notation US Term Metric Prefix Symbol 1,000,000,000,000 1012 trillion tera T 1,000,000,000 109 billion giga G 1,000,000 106 million mega M 1,000 103 thousand kilo k 100 102 hundred hecto h 10 101 ten deka da 0.1 10-1 tenth deci d 0.01 10-2 hundredth centi c 0.001 10-3 thousandth milli m 0.000001 10-6 millionth micro µ 0.000000001 10-9 billionth nano n 0.0000000000 10-12 trilliont pico p 01 h Business Mathematics 10 Fractions A fraction expresses a part of the whole. 3 2 ¿ 3 of 5 =0.6 ¿ 2 of 5 =0.4 5 5 n umerator A fraction is the equivalent to a division. =d ividend ÷d ivisor d enominator 3 proper fraction:n umerator