Chapter 3

Fundamentals of Mathematics · 453 exercises

Problem 60

Determine which of the whole numbers are prime and which are composite. 209

7 step solution

Problem 60

Find each value. Check each result with a calculator. \(\frac{6^{2}-1}{2^{3}-3}+\frac{4^{3}+2 \cdot 3}{2 \cdot 5}\)

7 step solution

Problem 60

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{9}\)

3 step solution

Problem 61

Write each number as a product of prime factors. 1,614

4 step solution

Problem 61

Round 434,892 to the nearest ten thousand.

4 step solution

Problem 61

Determine which of the whole numbers are prime and which are composite. 667

8 step solution

Problem 61

Find each value. Check each result with a calculator. $$\frac{5\left(8^{2}-9 \cdot 6\right)}{2^{5}-7}+\frac{7^{2}-4^{2}}{2^{4}-5}$$

4 step solution

Problem 61

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{16}\)

4 step solution

Problem 62

Write each number as a product of prime factors. 921

4 step solution

Problem 62

How much bigger is 14,061 than \(7,509 ?\)

4 step solution

Problem 62

Determine which of the whole numbers are prime and which are composite. 4,575

6 step solution

Problem 62

Find each value. Check each result with a calculator. $$\frac{(2+1)^{3}+2^{3}+1^{10}}{6^{2}}-\frac{15^{2}-[2 \cdot 5]^{2}}{5 \cdot5^{2}}$$

4 step solution

Problem 62

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{36}\)

5 step solution

Problem 63

Write each number as a product of prime factors. 29

4 step solution

Problem 63

Find the quotient. \(22,428 \div 14\).

6 step solution

Problem 63

Determine which of the whole numbers are prime and which are composite.119

4 step solution

Problem 63

Find each value. Check each result with a calculator. $$\frac{6^{3}-2 \cdot 10^{2}}{2^{2}}+\frac{18\left(2^{3}+7^{2}\right)}{2(19)-3^{3}}$$

7 step solution

Problem 63

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{64}\)

5 step solution

Problem 64

Write each number as a product of prime factors. 37

6 step solution

Problem 64

Expand \(84^{3}\). Do not find the value.

4 step solution

Problem 64

Find the prime factorization of each of the whole numbers. 26

5 step solution

Problem 64

Find each value. Check each result with a calculator. $$2 \cdot\left\\{6+\left[10^{2}-6 \sqrt{25}\right]\right\\}$$

5 step solution

Problem 64

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{121}\)

4 step solution

Problem 65

Find the greatest common factor of each collection of numbers. 5 and 15

4 step solution

Problem 65

Find the greatest common factor of 48 and 72 .

5 step solution

Problem 65

Find the prime factorization of each of the whole numbers. 38

4 step solution

Problem 65

Find each value. Check each result with a calculator. $$181-3 \cdot(2 \sqrt{36}+3 \sqrt[3]{64})$$

5 step solution

Problem 65

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{144}\)

5 step solution

Problem 66

Find the greatest common factor of each collection of numbers. 6 and 14

4 step solution

Problem 66

Find the prime factorization of each of the whole numbers. 54

5 step solution

Problem 66

Find each value. Check each result with a calculator. $$\frac{2 \cdot(\sqrt{81}-\sqrt[3]{125})}{4^{2}-10+2^{2}}$$

5 step solution

Problem 66

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{169}\)

3 step solution

Problem 67

Find the greatest common factor of each collection of numbers. 10 and 15

3 step solution

Problem 67

Find the prime factorization of each of the whole numbers. 62

5 step solution

Problem 67

The fact that \(0+\) any whole number \(=\) that particular whole number is an example of which property of addition?

4 step solution

Problem 67

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{225}\)

5 step solution

Problem 68

Find the greatest common factor of each collection of numbers. \(6,8,\) and 12

3 step solution

Problem 68

Find the prime factorization of each of the whole numbers. 56

4 step solution

Problem 68

Find the product. \(4,271 \times 630\).

6 step solution

Problem 68

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt[3]{27}\)

3 step solution

Problem 69

Find the greatest common factor of each collection of numbers. 18 and 24

3 step solution

Problem 69

Find the prime factorization of each of the whole numbers. 176

6 step solution

Problem 69

In the statement \(27 \div 3=9\), what name is given to the result \(9 ?\)

3 step solution

Problem 69

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt[5]{32}\)

4 step solution

Problem 70

Find the greatest common factor of each collection of numbers. 42 and 54

4 step solution

Problem 70

Find the prime factorization of each of the whole numbers. 480

10 step solution

Problem 70

What number is the multiplicative identity?

3 step solution

Problem 70

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt[4]{256}\)

4 step solution

Problem 71

Find the greatest common factor of each collection of numbers. 40 and 60

3 step solution

Problem 71

Find the prime factorization of each of the whole numbers. 819

6 step solution

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