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Practice
1. Find each product.
a. 19  76
b. (-19)  76
c. 19  (-76)
d. (-19)  (-76)
e. –(19  76)
f. (-76)  (-19)
b. (-76)  (-19)
c. (-76)  19
e. 19  76
f. 19  (-76)
2. Find each quotient.
a. 76  19
d. 76  (-19)
3. What pair of numbers with sum 18 has the largest product?
4. Use the multiplication table. Explain why each fact is true.
a. 4  (-3) = -12
b. -4  (-3) = 12
5. How many times does the number 10 appear an an entry in the multiplication table? Explain.
6. Does 17, 24, 19, or 72 appear most frequently as an entry in the entire multiplication table?
7. Use the multiplication table.
a. Which number from 0 to 150 appear most frequently as entries in the multiplication
table?
b. Which number from 0 to 150 appear least frequently as entries in the multiplication
table?
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Homework
1. Determine whether each statement is true or false. Use examples to support your claim.
a. The product of two positive integers is always positive.
b. The product of two negative integers is always negative.
c. The product of two negative integers is always positive.
d. The product of a negative integer and a positive integer is always negative.
e. The product of a negative integer and a positive integer is always positive.
2. Which pair of numbers with sum 8 has the largest product?
3. A store displays watermelons in a rectangular space. Mrs. Burres wants the space to be 5
fence sections long and 4 fence sections wide. Mr. Chang prefers a length of 7 sections and a
width of 2 sections. How much less storage area will there be in the 7 section-by-2 section
space than in the 5 section-by-4 section space?
_______________ square sections
For problems 4-6, use the multiplication table. Describe the location of the given number, or set
of numbers, in the table. For each set of numbers, describe the pattern in the table.
4. Zeros
5. Positive Numbers
6. Negative Numbers
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7. Find and describe patterns on the diagonal that Mr. Burke provided you with.
8. Evaluate
a. (-1)2
b. (-1)3
c. (-1)4
d. (-1)5
e. (-1)347
f. What pattern do you find in the exponents and the results?
9. Evaluate
a. 5(3+7) and 5  3 + 5  7
b. (-5)(3+7) and (-5)  3 + (-5)  7
c. 5(3 + (-7)) and 5  3 + 5(-7)
d. 5((-3) + (-7)) and 5(-3) + 5(-7)
e. (-5)((-3) + (-7)) and (-5)(-3) + (-5)(-7)
f. Make a conjecture about the values in each pair of calculations.
10. Given the fact that 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55, find each sum.
a. 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20
b. 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30
c. 7 + 14 + 21 + 28 + 35 + 42 + 49 + 56 + 63 + 70
d. What shortcut can you use?