Chapter 2

For the following problems, write each of the quantities using exponential notation. \(2 \cdot 2 \cdot 5 \cdot 6 \cdot 6 \cdot 6 x y y z z z w w w w\)

Use the commutative property of addition and multiplication to write expressions for an equal number for the following problems. You need not perform any calculations. $$18 z$$

Is 0 a positive number, negative number, neither, or both?

For the following problems, use the order of operations to find each value. $$(300-25) \div(6-3)$$

For the following problems, use algebraic notataion. 6 times \(x,\) minus 2

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. $$ (3 x y)^{4} $$

For the following problems, use the order of operations to find each value. $$4 \cdot 3+8 \cdot 28-(3+17)+11(6)$$

For the following problems, use algebraic notataion. \(x+1\) divided by \(x-3\)

Find each value. Assume the base is not zero. $$ \frac{14 x^{r} y^{p} z^{q}}{2 x^{r} y^{h} z^{5}} $$

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. $$ (2 x y)^{5} $$

For the following problems, write each of the quantities using exponential notation. $$ 10 x y y(c+5)(c+5)(c+5) $$

Use the commutative property of addition and multiplication to write expressions for an equal number for the following problems. You need not perform any calculations. $$a x$$

For the following problems, use the order of operations to find each value. $$2\\{(7+7)+6[4(8+2)]\\}$$

For the following problems, use algebraic notataion. \(y+11\) divided by \(y+10,\) minus 12

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ 3^{2} \cdot 3^{3} $$

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. $$ (3 a b)^{4} $$

For the following problems, write each of the quantities using exponential notation. $$ 4 x 4 x 4 x 4 x 4 x $$

For the following problems, draw a number line that extends from -5 to \(5 .\) Place points at all real numbers bet ween and including each pair of numbers. -5 and -2

For the following problems, use the order of operations to find each value. $$0+10(0)+15[4(3)+1]$$

For the following problems, use algebraic notataion. zero minus \(a\) times \(b\)

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ 5^{2} \cdot 5^{4} $$

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. $$ (6 m n)^{2} $$

For the following problems, write each of the quantities using exponential notation. $$ (9 a)(9 a)(9 a)(9 a) $$

Use the commutative property of addition and multiplication to write expressions for an equal number for the following problems. You need not perform any calculations. $$7(2+b)$$

For the following problems, draw a number line that extends from -5 to \(5 .\) Place points at all real numbers bet ween and including each pair of numbers. -3 and 4

For the following problems, use the order of operations to find each value. $$6.1(2.2+1.8)$$

Is every natural number a whole number?

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ 9^{0} \cdot 9^{2} $$

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. $$ \left(7 y^{3}\right)^{2} $$

For the following problems, write each of the quantities using exponential notation. $$ (-7)(-7)(-7) \text { aabbba }(-7) \text { baab } $$

Use the commutative property of addition and multiplication to write expressions for an equal number for the following problems. You need not perform any calculations. $$6(s+1)$$

For the following problems, draw a number line that extends from -5 to \(5 .\) Place points at all real numbers bet ween and including each pair of numbers. -4 and 0

For the following problems, use the order of operations to find each value. $$\frac{5.9}{2}+0.6$$

Is every rational number a real number?

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ 7^{3} \cdot 7^{0} $$

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. $$ \left(3 m^{3}\right)^{4} $$

For the following problems, write each of the quantities using exponential notation.

Use the commutative property of addition and multiplication to write expressions for an equal number for the following problems. You need not perform any calculations. $$(8+a)(x+6)$$

Draw a number line that extends from -5 to \(5 .\) Is it possible to locate any numbers that are strictly greater than 3 but also strictly less than \(-2 ?\)

For the following problems, use the order of operations to find each value. $$(4+7)(8-3)$$

For the following problems, locate the numbers on a number line by placing a point at their (approximate) position. 2

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ 2^{4} \cdot 2^{5} $$

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. $$ \left(5 x^{6}\right)^{3} $$

For the following problems, write each of the quantities using exponential notation. $$ (z+w)(z+w)(z+w)(z-w)(z-w) $$

Use the commutative property of addition and multiplication to write expressions for an equal number for the following problems. You need not perform any calculations. $$(x+16)(a+7)$$

For the pairs of real numbers shown in the following problems, write the appropriate relation symbol \((<,>,=)\) in place of the \(*\) $$-5 *-1$$

For the following problems, use the order of operations to find each value. $$(10+5)(10+5)-4(60-4)$$

For the following problems, locate the numbers on a number line by placing a point at their (approximate) position. $$ 3.6 $$

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ x^{5} x^{4} $$

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. $$ \left(5 x^{2}\right)^{3} $$