Whole Number

W1 compute with whole numbers, order of operations

W2 apply operations on whole numbers to solve problems

W3 find place value of digits in whole numbers to 10-places

W4 find multiples of a number, common multiples and least common multiple

W5 find divisors of a number, common divisors, and greatest common divisor

W6 write a number as an expanded numeral and in exponential format

W7 determine whether a number is odd/even, prime/composite

W8 estimate amounts and answers to computations, round to the nearest ten, hundred, thousand

WHOLE NUMBERS

W1

A) Compute:

a) the product of 31 and 13

b) the sum of 3672 and 18

c) the difference of 31 and 13

d) the quotient of 3672 and 18

e) the product of two numbers is 24. Their sum is 10. What is the difference of the two numbers?

B) Compute using the rules for order of operations

A = 3 x 4 + 5

B = 3 x (4+5)

C = 3 + 4 x 10 5

D = 3 x 4 + 3 x 5

E = 44 4 + (4 x 4 - 4)

F = 5 x 3 - 12 + 23

C) Which methods for "thinking out computation" (i.e., mental arithmetic) are correct?

a) 7 + 8 Think: 7 plus 7 is 14, plus 1 more is 15

b) 38 - 17 Think: 38 minus 10 is 28, minus 7 more is 21

c) 999 x 3 Think: 1000 threes is 3000 minus 1 three is 2997

d) 150 3 Think: what equals 150 x 3, that's 450

W2

A) Jim drives 384 miles in his Subaru and uses 12 gallons of gas. How many miles per gallon did his car get for this trip?

B) Manny bought six box seat and four upper grandstand tickets for the Mets game against the San Francisco Giants. If box seats cost $29 and grandstand cost $17, how much did the 10 tickets cost?

C) A box contains 60 oranges. Oranges cost 10 cents each. How many oranges can be shipped in a railroad car that holds 2500 boxes?

D) NJ Nets guard Jason Kidd, scored 34 points more than the NY Knicks rookie guard. The rookie scored 8 points fewer than his teammate, Stephan Marbury, who scored 15 points. How many points did Jason Kidd score?

E) Charlie Brown and Lucy see 10 animals at the Bronx Zoo. Some are ostriches, others elephants. They count 14 legs on the ostriches. How many elephants did they see?

F) The sum of two numbers is 12. Their product is 32. What are they?

G) June buys six pieces of fruit. She spends 95 cents. She buys some of each type. What could she have bought? Find two different solutions.

W3

A) State the place value of the digits in $9,078,365,432.

a) digit 8 b) digit 4 c) digit 0 d) digit 9 e) The sum of the digits of a 3-digit number is 16. It's less than 300, and the ten's digit is 2 more than the one's digit. What is it?

B) State the value of digit "4" in this number $4,756,890 If you add 2 and one half million dollars to this number, what is the digit in the millions place?

W4

A) Which are multiples of 6: 24, 42, 62, 600, 1,234?

B) List multiples of 3 and multiples of 4.

C) List the first three common multiples of 3 and 4.

D) What is the LCM (Least Common Multiple) of 3 and 4?

E) Find the least common multiple of 12 and 18.

F) The LCM of 12 and a number X is 60. What is X?

W5

A) List the six divisors of 12.

B) What is the least common divisor of 12 and 18? What is the greatest common divisor?

W6

A) Write as a number and also in words: 3 x 103 + 2 x 102 + 0 x 101 + 4 x 100

B) Express 12,345,678 in exponential form as in A)

W7

A) Which are NOT primes? Explain. 2, 6, 13, 31, 15, 51, 151

B) Sometimes true, always true, never true. Explain for each. i) The sum of any two odd numbers is odd ii) The product of two odds is odd iii) The sum of two primes is a prime iv) The product of two primes is a prime

W8 A) Round to the nearest hundred: $1,534 and $48,390. Round each to the nearest thousand.

B) Round first and then mentally estimate the closest answer. 396 X $9.95 = about........ (a) $4000 (b) $390 (c) $40,000 (d) $39,000 (e) $3,600

C) Round first and then estimate this sum: 815 + 201 + 338 + 490 (a) 1700 (b) 1800 (c) 1900 (d) 2000

D) Estimate this quotient: (a) 800 (b) 40 (c) 4 (d) 2 (e) 8

E) Andrew was just learning how to print the letter A. He liked to print it over and over again. About how many letter A's the size of the one to the right could he print on this page? Select one of these estimates, then figure out which estimate is the best. Explain your method. (a) 100 (b) 400 (c) 600 (d) 1,000 (e) 2,000

F) Guess how many seconds there are in one day. Pick one of these choices. (a) 5,000 (b) 10,000 (c) 50,000 (d) 100,000 (e) 1 million Then figure out about how many seconds there are. Was your guess close?