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Magazine Problem 35
Use the power rules for exponents to simplify the following problems. Assume that all bases are nonzero and that all variable exponents are natural numbers. $$ \left(x^{2} y^{3} z^{5}\right)^{4} $$
Problem 39
Is there a smallest integer? If so, what is it?
Problem 46
Is there a smallest two digit real number? If so, what is it?
Problem 51
The temperature today in Marbelhead was six degrees below zero. Represent this temperature by real number.
Problem 52
On the number line, how many units between -3 and \(2 ?\)
Problem 53
On the number line, how many units between -4 and \(0 ?\)
Problem 54
\(a+b=b+a\) is an illustration of the ____________ property of addition.
Problem 61
A box contains 10 computer chips. Three chips are to be chosen at random. The number of ways this can be done is $$\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot 2 \cdot 1 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}$$
Problem 61
Use the commutative properties of addition and multiplication to write equivalent expressions for the following problems. $$ (6)(-9)(-2) $$
Problem 62
Use the commutative properties of addition and multiplication to write equivalent expressions for the following problems. $$ (x+y)(x-y) $$
