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Problem 32

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

Problem 32

For the pairs of real numbers shown in the following problems, write the appropriate relation symbol \((<,>,=)\) in place of the \(*\) $$-3 * 0$$

Problem 32

For the following problems, use the order of operations to find each value. $$\left(\frac{5}{12}-\frac{1}{4}\right)+\left(\frac{1}{6}+\frac{2}{3}\right)$$

Problem 33

For the following problems, use the order of operations to find each value. $$4\left(\frac{3}{5}-\frac{8}{15}\right)+9\left(\frac{1}{3}+\frac{1}{4}\right)$$

Problem 33

For the following problems, locate the numbers on a number line by placing a point at their (approximate) position. $$ -1 \frac{3}{8} $$

Problem 33

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. $$ \left(10 a^{2} b\right)^{2} $$

Problem 33

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. $$ x^{2} x^{3} $$

Problem 33

For the following problems, write each of the quantities using exponential notation. $$ 3 x y x x y-(x+1)(x+1)(x+1) $$

Problem 34

For the following problems, locate the numbers on a number line by placing a point at their (approximate) position. $$ 0 $$

Problem 34

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. $$ \left(8 x^{2} y^{3}\right)^{2} $$

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