Basic Mathematics with Applns to Science and Technology by H. Kruglak, et al.,

By H. Kruglak, et al.,

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The order of magnitude of a light year is 10l6. The order of magnitude of an astronomical unit is 10”. Dividing 10l6 by lO”, we obtain 105. Therefore, a light year is 5 orders of magnitude greater than an astronomical unit. 32. 673 x lO-*’ kg. What is the order of magnitude of this measure? Replacing the decimal and fractional part of the number by 1, the number can be rewritten as 1 x 10-27kg. Therefore, the order of magnitude is 10-27. MEASUREMENT AND SCIENTIFIC NOTATION CHAP. 33. 9 pg to fg.

55 PERCENTAGE CHAP. 018 Change the percents to decimal fractions. Multiply the decimal fractions by the given quantites (bases). 5. 018) =OM3 What percent of (a) 15 is 6? 6? (b) 192 is 36? (d) 400 is 900? 5? The first of the two numbers is the base; the second number is the percentage. percentage by the base. Multiply the quotient by 100 and attach the % symbol. 6. 012 (c) 150% of the number is 390 The number to be found is the base or the quantity which represents 100%. First determine 1% of the number, then multiply by 100 to obtain the number.

Add the mixed numbers 7 and 2 a. 1 First we add the integers: 7 2 = 9. Adding the fractions, we get 6 sums, the answer we obtain is 9s. 8 SUBTRACTION OF FRACTIONS As with addition, before two fractions can be subtracted they must have a common denominator. 16. Subtract - from -. 3 4 The LCD is 12. 17. Perform the operation 7 f - 4 6. The LCD of the fractions is 10. The desired difference can be expressed as 5 2 10 2 76-46. But - is larger than - Therefore, borrowing 1 or - from 7 and adding to I0 10 10 10' and performing the operation, we obtain 6 - 4 6 = 2 $.

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