Which is greater and by how much? 8 0 × 4 4 or 2 4 × 3 4

We know that, 8 0 = 1 4 4 = 4 × 4 × 4 × 4 = 256 2 4 = 2 × 2 × 2 × 2 = 16 3 4 = 3 × 3 × 3 × 3 = 81 8 0 × 4 4 = 1 × 256 = 256 2 4 × 3 4 = 16 × 81 = 1296 By observing the values we can observe that 2 4 × 3 4 value is greater. 2 4 × 3 4 - 8 0 × 4 4 = 1296 - 256 = 1040 Hence, the value of 2 4 × 3 4 greater by 1040 .

Which is greater and by how much? 625 4 × 3 6 or 729 6 × 4 4

We know that, 625 4 = 5 × 5 × 5 × 5 4 = 5 4 4 = 5 3 6 = 3 × 3 × 3 × 3 × 3 × 3 = 729 729 6 = 3 × 3 × 3 × 3 × 3 × 3 6 = 3 6 6 = 3 4 4 = 4 × 4 × 4 × 4 = 256 625 4 × 3 6 = 5 × 729 = 3645 729 6 × 4 4 = 3 × 256 = 768 By observing the values we can observe that 625 4 × 3 6 value is greater. 625 4 × 3 6 - 729 6 × 4 4 = 3645 - 768 = 2877 Hence, the value of 625 4 × 3 6 greater by 2877 .

E M B I B E

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Number>Chapter 1 - Reviewing Number Concepts>Exercise 1.11

Karen Morrison and Nick Hamshaw Solutions for Exercise 11: Exercise 1.11

Author:Karen Morrison & Nick Hamshaw

Karen Morrison Mathematics Solutions for Exercise - Karen Morrison and Nick Hamshaw Solutions for Exercise 11: Exercise 1.11

Attempt the free practice questions from Exercise 11: Exercise 1.11 with hints and solutions to strengthen your understanding. Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition solutions are prepared by Experienced Embibe Experts.