Prof. Israel N. Nwaguru MATH 0306 CH. 1 & 2 - REVIEW WORKOUT EACH PROBLEM BY SHOWING ALL THE NECESSARY STEPS. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write the number in expanded notation. 1) 48,792 Answer: 4 ten thousands + 8 thousands + 7 hundreds + 9 tens + 2 ones Write the number in standard notation. 2) 4 ten thousands + 2 thousands + 6 hundreds + 9 tens + 5 ones Answer: 42,695 3) 6 thousands + 8 tens Answer: 6080 Write the number in words. 4) 64,568,009 Answer: Sixty-four million, five hundred sixty-eight thousand, nine Write a word name for the number in the sentence. 5) Repeating patterns in numbers like 400,040,004,000 held mystical significance for most of the members of the village. Answer: Four hundred billion, forty million, four thousand Write the number in standard notation. 6) Ten million, three hundred fifty-four thousand, two hundred three Answer: 10,354,203 Write standard notation for the number in the sentence. 7) The distance between two stars is four trillion, three hundred seventeen billion, nine hundred eighty-eight million miles. Answer: 4,317,988,000,000 Answer the question. 8) What does the digit 2 mean in the number 189,247? Answer: 2 hundreds 9) What does the digit 3 mean in the number 301,475? Answer: 3 hundred thousands 10) What does the digit 4 mean in the number 301,475? Answer: 4 hundreds 1
Fill in the digits for the given place values in the following whole number. 11) 52,961 ten thousands ones Answer: Ten thousands 5, ones 1 12) 7,839,387 hundred thousands tens Answer: Hundred thousands 8, tens 8 13) 4,187,382,865 billions millions Answer: Billions 4, millions 7 Write an addition sentence that corresponds to the situation. 14) In the metropolitan area, car dealers have 9019 foreign sports cars for sale and 4434 domestic sports cars for sale. How many sports cars are for sale? Find the perimeter. 15) Answer: 9019 cars + 4434 cars = 13,453 cars Answer: 1,469 yards Add. 16) 9469 + 3685 Answer: 13,154 17) 12,748 + 83 + 1529 + 41,006 Answer: 55,366 18) 19,949,386 7,208,535 144,172 + 7,733,567 Answer: 35,035,660 2
Write a subtraction sentence that corresponds to the situation. Do not carry out the subtraction. 19) Last year the hatch-back model of a new car cost $18,027. This year's model costs $19,990. How much more does this year's model cost? Answer: $19,990 - $18,027 = 20) A coffee can comes packed with enough ground coffee to make 79 cups of coffee. After 37 cups have been made, how many cups of coffee can be made with the remaining ground coffee? Answer: 79 cups - 37 cups = Write a related addition sentence. 21) 678-36 = 642 Answer: 36 + 642 = 678 22) 25-0 = 25 Answer: 25 + 0 = 25 23) 17-17 = 0 Answer: 17 + 0 = 17 Write two related subtraction sentences. 24) 95 + 0 = 95 Answer: 95-95 = 0 and 95-0 = 95 Write an addition sentence and a related subtraction sentence corresponding to the situation. You need not carry out the subtraction. 25) An electrician needs 487 feet of 12-guage wire to do a wiring job. He has 143 feet of 12-guage wire in stock. How much more wire does he need? Answer: 143 + = 487, = 487-143 Solve the subtraction problem. 26) 86,958-14,351 Answer: 72,607 Subtract by borrowing as necessary. 6481 27) - 837 Answer: 5644 Subtract. 28) 42,704-8523 Answer: 34,181 Round as indicated. 29) 1435 to the nearest ten Answer: 1440 3
30) 53,144 to the nearest hundred Answer: 53,100 31) 2005 to the nearest hundred Answer: 2000 Round to the nearest thousand. 32) 3,723,542 Answer: 3,724,000 33) 57,001 Answer: 57,000 Estimate the sum or difference by first rounding to the nearest ten. 34) 8487-2633 Answer: 5860 Estimate the sum or difference by first rounding as indicated. 35) Estimate by first rounding to the nearest thousand. 3436 2456 1963 + 5389 Answer: 12,000 Use < or > for to write a true sentence. Draw a number line if necessary. 36) -25-32 Answer: > 37) 0-9 Answer: > 38) -11 0 Answer: < TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Solve. 39) Two Great Pyrenees mountain dogs are guarding sheep in the Pyrenees Mountains along the border of France and Spain. Simba weighs 158 pounds and Misty weighs 125 pounds. True or false: Simba is lighter than Misty. Answer: True False SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write a multiplication sentence that corresponds to the situation. 40) Julie can bike 63 miles a day. If she can vacation for 15 days, what is the maximum distance she can cover? Answer: 63 15 = 945 miles 4
What is the area of the region? 41) 78 yd 13 yd Answer: 1014 yd2 Multiply. 42) 16,000 4000 Answer: 64,000,000 43) 22,316 4 Answer: 89,264 44)(678)(91) Answer: 61,698 Write a division sentence that corresponds to the situation. Do not carry out the division. 45) David's company has to ship 2750 boxes of sprinklers. If a truck can hold 550 boxes, how many truckloads does he need to ship all the boxes? Answer: 2750 550 = Write a related multiplication sentence. 46) 72 3 = 24 Divide. Answer: 24 3 = 72 47) 9 219 Answer: 24 R3 48) 43 5727 Answer: 133 R 8 Solve by trial. 49) 54 n = 6 Answer: 9 5
Solve. 50) x + 300 = 680 Answer: 380 51) 784 = n 16 Answer: 49 Solve the problem. 52) An employee was paid $58,258 during the first half of last year. During the second half she was paid $ 76,872. How much more was her income during the second half? Answer: $18,614 53) Each box of matches contains 120 matches. Boxes of matches are shipped in cartons. Each carton contains 15 boxes of matches. How many matches are in each carton? Answer: 1800 Write exponential notation. 54) 20 20 20 20 20 Evaluate. 55) 54 Answer: 205 Answer: 625 56) 63 9-6 Answer: 18 57) 4 (3 + 2)2-2 (5-3)2 Answer: 92 58) 320-32 24 (4 3-2 2) Answer: 293 Find the average. 59) Scores on a math test: 72 58 72 100 58 Answer: 72 60) 3 {(300-70 5) - [3 18 - (8-2 3)]} Answer: 702 Tell which integer corresponds to the situation. 61) A climb of 171 feet down into a subterranean cave Answer: -171 6
62) The team gave up 7 points. Answer: -7 Insert < or > to make the statement true. 63) -98-54 Answer: -98 < -54 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the absolute value. 64) -99 A) 99 B) -99 C) 198 D) 0 Answer: A 65) 88 A) 88 B) -88 C) 176 D) 0 Answer: A SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the following. 66) Find -(-x) when x is -281. Answer: -281 67) Find -x when x is -86. Answer: 86 Solve the problem. 68) -68 69) 27 Answer: 68 Answer: -27 Add. 70) -5 + (-12) Answer: -17 71) 39 + (-7) Answer: 32 72) 3 + (-19) + 20 + (-2) + 17 + (-13) Answer: 6 Subtract. 73) 12 - (-18) Answer: 30 7
74) -18 - (-16) Answer: -2 75) -5 + 18 - (-20) + 16 Answer: 49 Solve the problem. 76) After one round in a card game, your score was -39 points. After the second round, your score was 30 points. How many points did you get in the second game? Answer: 69 points Multiply. 77) -6 (-3) (-19) Answer: -342 78) (-5)(-13)(-3)0 9 Answer: 0 79) -110 Answer: -1 80) (-2)4 Answer: 16 Divide, if possible. 0 81) -11 82) -8 0 Answer: 0 Answer: Undefined Simplify, if possible. 83) -2 23 + 64 4 2-2 2 Answer: - 3 84) -5 3 + 215 6 5-6 - 3-3 Answer: 30 85) 3[-8 + 5(-8 + 2)] Answer: -114 8
Simplify, if possible. 86) 10-9 - 152 Answer: -206 Evaluate the algebraic expression. 9x + 5y 87) when x = 12 and y = 6 3 Evaluate. Answer: 46 88) 4x2 + 4x + 1 for x = -3 Answer: 25 For the given expression, write two equal expressions with negative signs in different places. 89) 16 -b Answer: - 16 b and - 16 b Multiply. 90) -4(-4x - 3y + 3) Answer: 16x + 12y - 12 91) 8(x + 9 + 8y) Answer: 8x + 72 + 64y Combine like terms. 92) 3x - 8y + 15-17x - 10-6y Answer: -14x - 14y + 5 93) 8x2y + 6xy2-2x2y + 9xy2 Answer: 6x2y + 15xy2 94) -5x7y8 + 2x7y8 + 7x7y8-3x7y8 + 8x7y8 Answer: 9x7y8 Solve using the addition principle. 95) t - 9 = 13 Answer: 22 Solve using the division principle. 96) -8a = 56 Answer: -7 Solve using the addition or division principle. 97) 15 = b - 17 Answer: 32 9