Mathematics - International - 0607 CIE

Powers And Roots

Bayani Gaba-gaba

Squaring, cubing and taking roots are among the most-used operations in all of mathematics. They turn up the moment you work with area and volume, and they are the gateway to indices, standard form and Pythagoras' theorem. Being quick and accurate with powers and roots saves time in almost every paper.

In this lesson you will calculate squares, cubes and higher powers, and find square roots, cube roots and other roots, both by recognising common values and by using a calculator efficiently. You will also learn to estimate a root that is not exact, which is a frequent exam check.

Manufura

  1. Calculate with the following: squares square roots cubes cube roots other powers and roots of numbers.

Takardar Darasi

Powers are a shorthand for repeated multiplication, and roots undo them. Recognising the common squares and cubes on sight, and using the power and root keys on your calculator correctly, removes a whole class of slow, error-prone arithmetic from the rest of the course.

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Nazarin Darasi

Barka da kammala darasi akan Powers And Roots. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. What is the value of 2^5? A. 10 B. 25 C. 32 D. 64 Answer: C
  2. What is the value of (-3)^2? A. -9 B. -6 C. 6 D. 9 Answer: D
  3. What is the cube root of 125? A. 5 B. 15 C. 25 D. 41.7 Answer: A
  4. Between which two whole numbers does √50 lie? A. 5 and 6 B. 6 and 7 C. 7 and 8 D. 8 and 9 Answer: C
  5. What is the value of 4^3? A. 12 B. 16 C. 43 D. 64 Answer: D

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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