Express 0 . 6 . + 0 . 2 . as a recurring decimal.

Given: 0 . 6 . + 0 . 2 . Here 0 . 6 . means 0 . 666 . . . and 0 . 2 . means 0 . 222 . . . According to the question 0 . 666 . . . + 0 . 222 . . . = 0 . 888 . . . = 0 . 8 . Therefore, the sum of 0 . 6 . + 0 . 2 . is 0 . 8 . .

Express 0 . 6 . + 0 . 2 . as a fraction in its lowest terms.

Given: 0 . 6 . + 0 . 2 . Let x = 0 . 6 . = 0 . 666 . . . Then, 10 x = 6 . 666 . . . Now subtract x from 10 x as below: 10 x = 6 . 666 . . . x = 0 . 666 . . . - - 9 x = 6 . 000 So, x = 6 9 = 2 3 Again, Let y = 0 . 2 . = 0 . 222 . . . Then, 10 y = 2 . 222 . . . Now subtract y from 10 y as below: 10 y = 2 . 222 . . . y = 0 . 222 . . . - - 9 y = 2 . 000 So, y = 2 9 Now x + y = 2 3 + 2 9 = 6 + 2 9 = 8 9 Therefore 0 . 6 . + 0 . 2 . = 8 9 .

Express 0 . 4 . + 0 . 5 . as a fraction in its lowest terms.

Given: 0 . 4 . + 0 . 5 . Let x = 0 . 4 . = 0 . 444 . . . Then, 10 x = 4 . 444 . . . Now subtract x from 10 x as below: 10 x = 4 . 444 . . . x = 0 . 444 . . . - - 9 x = 4 . 000 So, x = 4 9 Again, Let y = 0 . 5 . = 0 . 555 . . . Then, 10 y = 5 . 555 . . . Now subtract y from 10 y as below: 10 y = 5 . 555 . . . y = 0 . 555 . . . - - 9 y = 5 . 000 So, y = 5 9 Now x + y = 4 9 + 5 9 = 4 + 5 9 = 9 9 = 1 Therefore 0 . 4 . + 0 . 5 . = 1 .

E M B I B E

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Number>Chapter 9 - Sequences and Sets>Exercise 9.5

Karen Morrison and Nick Hamshaw Solutions for Exercise 5: Exercise 9.5

Author:Karen Morrison & Nick Hamshaw

Karen Morrison Mathematics Solutions for Exercise - Karen Morrison and Nick Hamshaw Solutions for Exercise 5: Exercise 9.5

Attempt the free practice questions from Exercise 5: Exercise 9.5 with hints and solutions to strengthen your understanding. Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition solutions are prepared by Experienced Embibe Experts.

Questions from Karen Morrison and Nick Hamshaw Solutions for Exercise 5: Exercise 9.5 with Hints & Solutions

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 1

Write the following recurring decimals as a fraction in its lowest terms.

$0 . \dot{6}$

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 1

Write the following recurring decimals as a fraction in its lowest terms.

$0 . \dot{1} \dot{7}$

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 3

Express $0 . \dot{6} + 0 . \dot{2}$ as a recurring decimal.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 3

Express $0 . \dot{6} + 0 . \dot{2}$ as a fraction in its lowest terms.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 3

Express $0 . \dot{4} + 0 . \dot{5}$ as a fraction in its lowest terms.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 4

Jessica's teacher asks a class to find the largest number that is smaller than $4.5$ . Jessica's friend Jeevan gives the answer $4.4$ .

Why is Jeevan not correct?

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 4

Jessica's teacher asks a class to find the largest number that is smaller than $4.5$ . Jessica's friend Jeevan gives the answer $4.4$ . Jessica's friend Ryan now suggests that the answer is $4.49999$ .

Why is Ryan not correct?

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 9 - Sequences and Sets>Exercise 9.5>Q 4

Jessica's teacher asks a class to find the largest number that is smaller than $4.5$ . Jessica's friend Jeevan gives the answer $4.4$ . Jessica's friend Ryan now suggests that the answer is $4.49999$ . Jessica now suggests the answer $4.4 \dot{9}$

Is Jessica correct? Give full reasons for your answer, including any algebra that helps you to explain. Do you think that there is a better answer than Jessica's?

Learn and Prepare for any exam you want !

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