Mathematics (US) - 0444 CIE

Number Sets And Notation

Gbogbo ọrọ náà

Every number you have ever used belongs to a family. The counting numbers, the whole numbers, the integers stretching out below zero, the fractions that fill the gaps, and the stranger numbers that no fraction can ever name: mathematics gives each family a name and a precise piece of notation. Knowing which family a number lives in tells you instantly how it will behave.

In this lesson you will sort numbers into natural numbers, integers, rational and irrational numbers, and you will meet prime, square and cube numbers along the way. You will also learn the clean set language that examiners expect, so you can describe a collection of numbers exactly rather than vaguely.

Ebumnobi

  1. Use natural numbers, integers (positive, negative and zero), prime numbers, square and cube numbers, and rational and irrational numbers, with correct set language and notation.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

Classifying numbers is the first step toward reasoning about them. Once you know that an integer can be negative but a natural number cannot, or that an irrational number can never be written as a fraction, whole classes of problems become predictable. The set notation you learn here also runs quietly through the rest of the syllabus, from probability to inequalities.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Number Sets And Notation. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. Which of these is an irrational number? A. 0.25 B. 3/5 C. sqrt(2) D. -4 Answer: C
  2. Which number is a natural number but NOT a prime number? A. 9 B. 7 C. 0 D. -3 Answer: A
  3. Which of these is NOT an integer? A. -4 B. 0 C. 7 D. 3/5 Answer: D
  4. If A = {1, 4, 9, 16}, what is n(A)? A. 1 B. 4 C. 16 D. 30 Answer: B
  5. Which list contains only cube numbers? A. 1, 4, 9, 16 B. 2, 3, 5, 7 C. 1, 8, 27, 64 D. 1, 3, 6, 10 Answer: C

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

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