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Name ______________________________ Math 130A – Long Quiz – Aug. 30, 2002 1. Which of these sets is called the set of natural numbers ________________________ { 1, 2, 3, … } 2. { 0, 1, 2, 3, … } { … -2, -1, 0, 1, 2, … } What is the smallest number in the set of whole numbers ( smallest whole number ) ? _______ 3. Use the correct symbol between the given numbers; < , a) 10 _____ 0 b) 12 , > _______ 12 4. Write the next place value; ones, tens, hundreds, thousands, __________________, 5. Write down the first two prime numbers. __________ 6. ______________ Write the following numbers in words a) 304 ______________________________________________ b) 3014 ______________________________________________________ 7. Write down the number one million forty thousand one hundred three. ________________ 8. Round each of the following numbers a) 9512 to the nearest thousand ___________ b) 1099 to the nearest hundred __________ 9. What is the result when 145 is added to 387 ? ___________ 10. Find the value of c + 3098 when c = 8964. _______________ 11. Which of these represents the commutative property of addition ___________________ 3+4= 4+3 (3+4)+5=3+(4+5) or 3 ( 4 + 5 ) = 3 ( 4) + 3 ( 5 ) 12. Which one represents (from #11 above) the distributive property. _____________________ Answers: LQZ 1 1. { 1, 2, 3, … } set of natural numbers 2. 0 is the smallest whole number 3. 10 > 0 and 12 12 4. ten-thousands 5. 2 and 3 are the first two prime numbers 2, 3, 5, 7, 11, 13, … 6. 304 three hundred four 3014 three thousand fourteen 7. 1,040,103 8. 10000 9. 532 10. 12062 b) 1100 11. 3 + 4 = 4 + 3 commutative law of addition 12. 3( 4 + 5) = 3(4) + 3(5) distributive law LQZ 2 1. largest prime between 30 and 40 37 2. largest composite between 30 and 40 39 3. Prime factorization of 30 = 3 10 = 3 2 5 of 70 = 10 7 = 2 5 7 4. prime factorization of 36 in exponential form: 36 = 4 9 = 22 32 5. 4313 4 = 1 0 7 8 remainder 1 need 1079 boxes but only 1078 will be full 6. 4 ( 10 ) ( 120 ) = 4800 matches 7. omit: bad question 8. estimate the quotient of 3092 591 3000 600 = 5 9. 129 + x = 357 x = 228 x / 12 = 36 x = 12 (36) = 432 Name ___________________________ Math 130A – Long Quiz – September 6, 2002 1. Find the largest prime number between 30 and 40. _____________ 2. Find the largest composite number between 30 and 40 . ____________ 3. Find the prime factorization ( product of prime factors of ) a) 30 = _______________ b) 70 = _______________ 4. Find the prime factorization of 36 in exponential form. ______________ 5. Four balls are to be placed in each small box. How many boxes will be needed to place all of 4313 balls in boxes ? _______________ How many full boxes are there ? _____________ 6. A store orders 4 packages of matches. Each package contains 10 small boxes all of which contain 120 matches. How many total matches have been ordered. ___________ 7. An abundant number is a composite number whose proper divisors add up to a quantity that is larger than the given number. What is the smallest abundant number between 5 and 10 ? __________ 8. Estimate the quotient of 3092 591 ____________ 9. Find the solution of each of the following equations. a) 129 + x = 357 x = ______ b) x / 12 = 36 x = __________