Lesson Plans SET A for Grades 7-8-Lesson 1 Level 7-8 Rational Numbers Homework

Lesson 1 Level 7-8 Rational Numbers Homework

Pdf Summary

The given document provides a set of math problems designed to practice skills related to rational numbers, presumably for a Level 7-8 Math Kangaroo class. The problems cover various topics, including ordering expressions, determining numerical differences, simplifying mathematical expressions, understanding sequences, and evaluating differences between numbers in a set. Below is a summary of the problems and their solutions:<br /><br />1. <strong>Ordering Expressions</strong>: You are required to order the following expressions from least to greatest: "(-2 <em> 3)," -3, 0, "(2 </em> 3/6 <em> 9)," an unstated expression with a placeholder format, and 5.5. The correct order is: (-2 </em> 3), -3, 0, (2 <em> 3/6 </em> 9), a placeholder expression, and 5.5.<br /><br />2. <strong>Difference Calculation</strong>: Calculate the difference between the smallest 4-digit number (1000) and the greatest 2-digit number (99). The answer is 901.<br /><br />3. <strong>Expression Simplification</strong>: Simplify the expression involving fractions and whole numbers: "3/4 <em> 4 </em> 7 - 21 + 32," which simplifies to -1.<br /><br />4. <strong>Fibonacci Sequence</strong>: Determine how many consecutive terms of the Fibonacci sequence you need to write to include 12 even numbers. The answer is 34 terms.<br /><br />5. <strong>Greatest Difference in a Set</strong>: Identify two numbers from the set {-4, -3.6, 5/3, -1, 0, 2, 2.4} that result in the greatest difference between consecutive numbers you select. The numbers giving the greatest difference are 0 and 2.<br /><br />This set of problems is focused on enhancing mathematical reasoning and problem-solving skills by evaluating and manipulating rational numbers in different contexts. The document also includes the solutions for reference.

Keywords

math problems

rational numbers

Level 7-8

Math Kangaroo

ordering expressions

difference calculation

expression simplification

Fibonacci sequence

greatest difference

mathematical reasoning