Prealgebra Practice Quiz 1.4 - 1.6

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.

Related Multiplication Statement

• 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.