Mathematics Specification B - 4MB1 PearsonEdexcel

Number Manipulation

Muhtasari

Every calculation you do at IGCSE, from a percentage change to a quadratic solution, rests on a small set of number skills: knowing which operation to apply first, breaking numbers into their prime building blocks, and handling roots that refuse to simplify to a whole number. This topic gathers those foundations into one toolkit.

You will practise the order of operations, use prime factorisation to find the highest common factor and lowest common multiple, apply the laws of indices to integer, negative and fractional powers, and learn to simplify and rationalise surds so that every answer is left in its neatest, exact form.

Malengo

Use the ordinary processes of number manipulation including the four operations and combination of them by use of brackets
Understand and use prime numbers, factors and multiples, including finding HCF and LCM in simple cases
Use index notation and index laws for multiplication and division involving integer, fractional and negative powers
Perform simple manipulation of surds, understanding what surds represent and their use for exact answers
Rationalise the denominator
Recognise and use natural numbers, integers, rational and irrational numbers

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Maelezo ya Somo

A phone signal strength shown as a percentage, an exchange rate quoted to four decimal places, a diagonal measurement that comes out as \(\sqrt{2}\) rather than a tidy decimal: real calculations rarely stay inside the whole numbers you meet first. This topic builds the number toolkit that keeps every later topic, from algebra to trigonometry, working correctly and exactly.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Number Manipulation. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

What is the value of 4 + 2 x (9 - 6)^2? A) 22 B) 40 C) 46 D) 108 Answer: A
The prime factorisation of 60 is 2^2 x 3 x 5. What is the LCM of 60 and 2^3 x 3^2? A) 12 B) 180 C) 360 D) 720 Answer: C
Which of the following is equal to 5^(-2)? A) -10 B) -25 C) 1/10 D) 1/25 Answer: D
Which number is a surd? A) The square root of 49 B) The square root of 11 C) The square root of 100 D) The cube root of 27 Answer: B
Simplify the square root of 45. A) 3 times the square root of 5 B) 5 times the square root of 3 C) 9 times the square root of 5 D) 15 times the square root of 3 Answer: A

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Vitabu Vinavyopendekezwa

Pearson Edexcel International GCSE (9-1) Mathematics B Student Book

Manukuu: First edition

Mchapishaji: Pearson Education

Mwaka: 2017

ISBN: 978-0-435-18316-9

Maelezo: Endorsed student book for the 4MB1 specification with worked examples and graded exercises.

Jifunze zaidi kutoka vyanzo huria

Sehemu ya kitabu Real Numbers: Algebra Essentials OpenStax · Algebra and Trigonometry
Classify a real number as a natural, whole, integer, rational, or irrational number.

"Algebra and Trigonometry: Real Numbers: Algebra Essentials" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/1-1-real-numbers-algebra-essentials. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Sehemu ya kitabu Introduction to Whole Numbers OpenStax · Elementary Algebra
Use place value with whole numbers

"Elementary Algebra: Introduction to Whole Numbers" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/1-1-introduction-to-whole-numbers. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction

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