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

Lesson 1-B Level 7-8 Rational Numbers Homework

Pdf Summary

This document presents a set of math problems designed for students at Level 7-8, focusing on skills related to working with rational numbers. Below is a brief summary of the problems given:<br /><br />1. **Dragon Heads Problem**: A dragon initially has six heads, and when a head is chopped off, four new heads grow in its place. The task is to find the number of heads remaining after seven heads are chopped off one by one. The document provides the answer: 27 heads.<br /><br />2. **Simplifying a Mathematical Expression**: The expression to simplify is given as \((1 \times 2) - (1 \times 2 \times 22 \times 23 \times 24 \times 25)\). The simplified result of this expression is \(-63\).<br /><br />3. **Finding the Largest Quotient**: Among pairs of positive integers where the sum is less than 111, the challenge is to find the largest possible quotient when the larger integer is divided by the smaller. The answer stated in the document is 21.85.<br /><br />4. **Chocolate Eating Sequence**: Elisabeta has 100 chocolates and consumes them in fractions over consecutive days. Each day she eats a diminishing fraction: one-tenth, one-ninth, etc. The problem is to determine how many chocolates remain after Saturday. The answer recorded is 40 chocolates.<br /><br />5. **Choosing the Smallest Number**: This problem asks which of the given numbers is the least, considering two specific numbers \( x \) (positive and less than 1) and \( y \) (greater than 1). The options are labeled A-E and the answer designated as the smallest is C.<br /><br />These problems challenge various math concepts, including geometric progression, algebraic simplification, fractional sequences, and basic number properties, providing engaging practice for students.

Keywords

math problems

Level 7-8

rational numbers

Dragon Heads Problem

simplifying expressions

largest quotient

chocolate eating sequence

smallest number

geometric progression

algebraic simplification