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Chapter 4-Factors, Fractions, and Exponents

Chapter 4-Factors, Fractions, and Exponents. 4-1: Divisibility and Factors. Divisibility by 2, 5, and 10 Look at the chart below and determine if each number Is determined to be divisible by 2, 5, 10. Divisibility Rules for 2, 5, and 10. An integer is divisible by

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Chapter 4-Factors, Fractions, and Exponents

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  1. Chapter 4-Factors, Fractions, and Exponents

  2. 4-1: Divisibility and Factors Divisibility by 2, 5, and 10 Look at the chart below and determine if each number Is determined to be divisible by 2, 5, 10 Divisibility Rules for 2, 5, and 10 • An integer is divisible by • 2 if it ends in 0, 2, 4, 6, or 8. • 5 if it ends in 0 or 5. • 10 if it ends in 0

  3. Divisibility Rules for 3 and 9 An integer is divisible by 3 if the sum of its digits is divisible by 3. 9 if the sum of its digits is divisible by 9.

  4. ConcertsThere are 20 students singing at a school concert. Each row of singers must have the same number of students. If there are at least 5 students in each row, what are all the possible arrangements?

  5. 4-2: Exponents

  6. Write the expression using an exponent. • (−5)(−5)(−5) • −2 • a • b • a • a ScienceA microscope can magnify a specimen 103 times. How many times is that?

  7. Order of Operations • Work inside grouping symbols. • Simplify any terms with exponents. • Multiply and divide in order from left to right. • Add and subtract in order from left to right. Simplify 4(3 + 2)2. Evaluate −2x3 + 4y, for x = −2 and y = 3.

  8. 4-3: Prime Factorization and Greatest Common Factor State whether each number is prime or composite. Explain. Use a factor tree to write the prime factorization of 825.

  9. 4-4: Simplifying Fractions Find two fractions equivalent to Write in simplest form. Y xy 3a*b*b 12a*c

  10. 4-6: Rational Numbers Write two lists of fractions equivalent to .

  11. Graph each rational number on a number line. 1 -8 1 2 2 10 1 100 Science The speed of a car changes from 37 ft/s to 102 ft/s in five seconds. What is its acceleration in feet per second per second (ft/s2)? Use the formula a = where a is acceleration, f is final speed, i is initial speed, and t is time.

  12. 4-7: Exponents and Multiplication Simplify each expression. 3 • 33 a5 • a • b2

  13. Simplify −2x2 • 3x5 .Use the commutative property to solve this problem. Finding a Power of a Power

  14. 4-8: Exponents and Division Simplify each expression.

  15. Zero as an Exponent Simplify.

  16. Write without a fraction bar.

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