Prealgebra Practice Quiz 1.4 - 1.6
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Prealgebra Practice Quiz 1.4 - 1.6

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Questions and Answers

What is a related multiplication statement for the equation $540 \div 6 = 90$?

  • $540 \times 6 = 90$
  • $540 \div 6 = 90$
  • $6 \times 90 = 540$ (correct)
  • $90 \times 6 = 540$ (correct)

    • Is the number 364,545 divisible by 5?

  • Yes, as it ends with 5 (correct)
  • Yes, since the last digit is even
  • No, because it is an odd number
  • No, only even numbers are divisible by 5

    • Which of the following options provides two factors of 20, excluding 1?

  • 2 and 8
  • 4 and 10
  • 4 and 5 (correct)
  • 2 and 10 (correct)

    • What classification best describes the number 100?

    <p>It is a composite number</p> Signup and view all the answers

    What is the prime factorization of the number 70?

    <p>$2 \times 5 \times 7$</p> Signup and view all the answers

    Which expression correctly uses exponents to represent $5(5)(5)(17)(17)$?

    <p>$5^3 \times 17^2$</p> Signup and view all the answers

    What is the first multiple of 8 that is also a multiple of 6?

    <p>24</p> Signup and view all the answers

    Which of the following are common factors of 6 and 8?

    <p>1, 2</p> Signup and view all the answers

    How many multiples of 9 are less than 100?

    <p>11</p> Signup and view all the answers

    What is the factorization of the number 50 using prime numbers?

    <p>$2 \times 5^2$</p> Signup and view all the answers

    Which numbers is 364,545 divisible by?

    <p>3 and 9</p> Signup and view all the answers

    Which statement is true regarding the number 100?

    <p>It is a composite number.</p> Signup and view all the answers

    What is the prime factorization of the number 50?

    <p>2 × 5^2</p> Signup and view all the answers

    Which expression represents $5(5)(5)(17)(17)$ using exponents?

    <p>$5^3 × 17^2$</p> Signup and view all the answers

    Which of the following numbers is LCF of 6 and 8?

    <p>24</p> Signup and view all the answers

    Which of the following shows the correct prime factorization for 70?

    <p>2 × 5 × 7</p> Signup and view all the answers

    What is the LCM of the numbers 3 and 4?

    <p>12</p> Signup and view all the answers

    What is the GCF of the numbers 6 and 16?

    <p>2</p> Signup and view all the answers

    Which numbers are common multiples of 6 and 8 from the given lists?

    <p>24, 48, 72</p> Signup and view all the answers

    Which of the following shows the correct prime factorization for 50 using exponents?

    <p>2^1 * 5^2</p> Signup and view all the answers

    What are the first ten multiples of 8 in ascending order (smallest to largest) ?

    <p>8, 16, 24, 32, 40, 48, 56, 64, 72, 80</p> Signup and view all the answers

    Which of the following is a common factor of 6 and 8?

    <p>1</p> Signup and view all the answers

    What is the result of dividing 282 by 23 with a remainder?

    <p>11 R9</p> Signup and view all the answers

    Study Notes

    Assignment Overview

    • Practice Quiz 1.4 - 1.6 focuses on fundamental arithmetic operations.
    • The quiz is a tool for assessment but does not affect overall grades.
    • Due date is set for September 13, 2024, at 8:00 AM GMT-4.

    Key Questions and Concepts

    • Division Problems:

      • Example problems include division such as 1,677 ÷ 39 and identifying undefined results.
      • Understanding how to write related multiplication statements, exemplified by 540 ÷ 6 = 90 leading to 6 × 90 = 540.

    • Divisibility Tests:

      • Analyzing if 364,545 is divisible by numbers 2, 3, 4, 5, 6, 9, or 10 by selecting applicable options.

    • Factoring and Prime Numbers:

      • Factoring numbers requires identifying two factors for numbers like 20, excluding the factor 1.
      • Categorization of numbers as prime, composite, or neither, with 100 as a specific example.

    • Prime Factorization:

      • Finding prime factorizations, such as those for the numbers 70 and 50, using exponents if possible.

    • Exponents:

      • Writing expressions involving repeated multiplication using exponents, e.g., 5(5)(5)(17)(17) expressed as 5^3 × 17^2.

    • Multiples:

      • Listing the first ten multiples of 8 to understand multiplicative patterns.

    • Common Factors and Multiples:

      • Identifying common multiples and factors of 6 and 8, utilizing provided lists for answers in a comma-separated format.

    Submission Details

    • Answers are submitted by question parts, allowing for multiple revisions.
    • Only the most recent submission for each part will count towards scoring.

    Assignment Overview

    • Practice Quiz 1.4 - 1.6 focuses on fundamental arithmetic operations.
    • The quiz is a tool for assessment but does not affect overall grades.
    • Due date is set for September 13, 2024, at 8:00 AM GMT-4.

    Key Questions and Concepts

    • Division Problems:

      • Example problems include division such as 1,677 ÷ 39 and identifying undefined results.
      • Understanding how to write related multiplication statements, exemplified by 540 ÷ 6 = 90 leading to 6 × 90 = 540.

    • Divisibility Tests:

      • Analyzing if 364,545 is divisible by numbers 2, 3, 4, 5, 6, 9, or 10 by selecting applicable options.

    • Factoring and Prime Numbers:

      • Factoring numbers requires identifying two factors for numbers like 20, excluding the factor 1.
      • Categorization of numbers as prime, composite, or neither, with 100 as a specific example.

    • Prime Factorization:

      • Finding prime factorizations, such as those for the numbers 70 and 50, using exponents if possible.

    • Exponents:

      • Writing expressions involving repeated multiplication using exponents, e.g., 5(5)(5)(17)(17) expressed as 5^3 × 17^2.

    • Multiples:

      • Listing the first ten multiples of 8 to understand multiplicative patterns.

    • Common Factors and Multiples:

      • Identifying common multiples and factors of 6 and 8, utilizing provided lists for answers in a comma-separated format.

    Submission Details

    • Answers are submitted by question parts, allowing for multiple revisions.
    • Only the most recent submission for each part will count towards scoring.

    Division Problems

    • 1677 divided by 39 equals 43.
    • 19456 divided by 64 equals 304.
    • 282 divided by 23 provides a quotient of 12 with a remainder of 6.
    • For the division statement 540 ÷ 6 = 90, the related multiplication statement is 90 × 6 = 540.

    Divisibility of 364,545

    • The number 364,545 is divisible by 3 and 5.
    • It is not divisible by 2, 4, 6, 9, or 10.

    Factoring

    • Two factors of 20 that do not include 1 are 4 and 5.

    Prime Factorization

    • Prime factorization of 70 is 2 × 5 × 7.
    • Prime factorization of 50 is 2 × 5².

    Exponents

    • The expression 5 × 5 × 5 × 17 × 17 can be written using exponents as 5³ × 17².

    Multiples of 8

    • The first ten multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80.

    Common Multiples

    • The common multiples of 6 and 8 from the lists are 24 and 48.

    Common Factors

    • The common factors of 6 and 8 are 1 and 2.

    Least Common Multiple (LCM)

    • The LCM of 3 and 4 is 12.
    • The LCM of 6, 21, and 30 is 210.

    Greatest Common Factor (GCF)

    • The GCF of 6 and 16 is 2.
    • The GCF of 55 and 66 is 11.

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    Related Documents

    Practice Quiz 1.4 - 1.6 (Homework) PDF
    Practice Quiz 1.4-1.6 (Homework) - Prealgebra, Section 1 - PDF

    Description

    Test your understanding of the key concepts covered in Prealgebra sections 1.4 to 1.6. This quiz will challenge your knowledge with various problems that reinforce the material. Perfect for homework practice and preparation.

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