Chapter 3

Find the least common multiple of the numbers. 28 and 42

Find the greatest common factor (GCF) of the numbers. \(500,77,\) and 39

Find each value. Check each result with a calculator. \(\sqrt{9}+14\)

Determine the value of each of the powers. Use a calculator to check each result. \(4^{2}\)

Use the order of operations to determine each value. $$\frac{5^{2}+1}{13}+\frac{3^{3}+1}{14}$$

Find the least common multiple of the numbers. 240 and 360

Find the greatest common factor (GCF) of the numbers. \(441,275,\) and 221

Determine the missing factor(s). $$ 300=2 \cdot 5 . $$ _____ _____.

Find each value. Check each result with a calculator. \(\sqrt{100}+\sqrt{81}-4^{2}\)

Determine the value of each of the powers. Use a calculator to check each result. \(1^{2}\)

Use the order of operations to determine each value. \(\frac{6^{2}-1}{5 \cdot 7}-\frac{49+7}{2 \cdot 7}\)

Find the least common multiple of the numbers. 162 and 270

Find the product. \(2,753 \times 4,006\).

Find each value. Check each result with a calculator. \(\sqrt[3]{8}+8-2 \cdot 5\)

Determine the value of each of the powers. Use a calculator to check each result. \(10^{2}\)

Use the order of operations to determine each value. \(\frac{2 \cdot\left[3+5\left(2^{2}+1\right)\right]}{5 \cdot 2^{3}-3^{2}}\)

Find the least common multiple of the numbers. 20 and 24

Find the quotient. \(954 \div 18\).

Find all the factors of each of the numbers. 16

Find each value. Check each result with a calculator. \(\sqrt[4]{16}-1+5^{2}\)

Determine the value of each of the powers. Use a calculator to check each result. \(11^{2}\)

Use the order of operations to determine each value. \(\frac{3^{2} \cdot\left[2^{5}-1^{4}\left(2^{3}+25\right)\right]}{2 \cdot 5^{2}+5+2}\)

Find the least common multiple of the numbers. 25 and 30

Specify which of the digits \(2,3,\) or 4 divide into \(9,462 .\)

Find all the factors of each of the numbers. 22

Find each value. Check each result with a calculator. \(61-22+4[3 \cdot(10)+11]\)

Determine the value of each of the powers. Use a calculator to check each result. \(12^{2}\)

Use the order of operations to determine each value. \(\frac{\left(5^{2}-2^{3}\right)-2 \cdot 7}{2^{2}-1}+5 \cdot\left[\frac{3^{2}-3}{2}+1\right]\)

Find the least common multiple of the numbers. 24 and 54

Write \(8 \times 8 \times 8 \times 8 \times 8 \times 8\) using exponents.

Find all the factors of each of the numbers. 56

Find each value. Check each result with a calculator. \(121-4 \cdot[(4) \cdot(5)-12]+\frac{16}{2}\)

Determine the value of each of the powers. Use a calculator to check each result. \(13^{2}\)

Use the order of operations to determine each value. \((8-3)^{2}+\left(2+3^{2}\right)^{2}\)

Find the least common multiple of the numbers. 16 and 24

Find the prime factorization of 378 .

Find all the factors of each of the numbers. 105

Find each value. Check each result with a calculator. \(\frac{(1+16)-3}{7}+5 \cdot(12)\)

Determine the value of each of the powers. Use a calculator to check each result. \(15^{2}\)

Use the order of operations to determine each value. $$3^{2} \cdot\left(4^{2}+\sqrt{25}\right)+2^{3} \cdot\left(\sqrt{81}-3^{2}\right)$$

Find the least common multiple of the numbers. 36 and 48

Find all the factors of each of the numbers. 220

Find each value. Check each result with a calculator. \(\frac{8 \cdot(6+20)}{8}+\frac{3 \cdot(6+16)}{22}\)

Determine the value of each of the powers. Use a calculator to check each result. \(1^{4}\)

Use the order of operations to determine each value. \(\sqrt{16+9}\)

Find the least common multiple of the numbers. 24 and 40

Find all the factors of each of the numbers. 15

Find each value. Check each result with a calculator. \(10 \cdot[8+2 \cdot(6+7)]\)

Determine the value of each of the powers. Use a calculator to check each result. \(3^{4}\)

Use the order of operations to determine each value. \(\sqrt{16}+\sqrt{9}\)