Fractions, Decimal And Percentages
Gbogbo ọrọ náà
A shop advertises 20 per cent off. A bank offers 4 per cent a year. A report says prices rose by 130 per cent. Three sentences, three completely different pieces of arithmetic, and the marks in this topic go to the candidate who can tell instantly which one is in front of them. Fractions, decimals and percentages are three notations for the same idea, and the fastest route through almost every question here is to convert to whichever of the three makes the calculation shortest.
You will convert freely between the three forms, use each of them as an operator that acts on a quantity, express one quantity as a fraction or a percentage of another even when the answer is greater than 1 or greater than 100 per cent, and handle percentage increase and decrease, simple interest and compound interest. On the Extension Tier you will also convert a recurring decimal into an exact fraction, solve reverse percentage problems where the figure you are given is the answer rather than the start, and use the compound interest formula the specification prints in full.
Ebumnobi
- [Core] understand and use equivalent fractions, understand and use percentages, convert between fractions, terminating decimals and percentages
- [Extension] convert between fractions and recurring decimals
- [Core] interpret fractions, decimals and percentages as operators
- [Core] express one quantity as a fraction/percentage of another, where the fraction is less than 1 or greater than 1 or the percentage is less than 100 or greater than 100
- [Core] solve problems involving percentage change, including increase/decrease, simple interest and compound interest
- [Extension] reverse percentage problems
- [Extension] knowledge and use of the compound interest formula value of investment = P(1 + r/100)ⁿ where P is the amount invested, r is the percentage rate of interest and n is the number of years of compound interest
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Fractions, Decimal And Percentages. 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.
- Circle the percentage that is more than one quarter and less than one half. A. 15% B. 20% C. 35% D. 55% Answer: C
- Which multiplier increases a quantity by 130 per cent? A. 0.30 B. 1.30 C. 2.30 D. 130 Answer: C
- Which of these fractions gives a terminating decimal? A. 4/15 B. 5/11 C. 2/7 D. 9/16 Answer: D
- A price is reduced by 10 per cent and then increased by 10 per cent. Compared with the original price, the final price is A. the same B. 1 per cent lower C. 1 per cent higher D. 10 per cent lower Answer: B
- A price including 20 per cent sales tax is $54. What was the price before tax? A. $43.20 B. $45.00 C. $45.90 D. $64.80 Answer: B
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Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
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Akụkụ akwụkwọ
Understand Percent
Use the definition of percent
"Prealgebra: Understand Percent" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/6-1-understand-percent. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Akụkụ akwụkwọ
Solve Percent Applications
Translate and solve basic percent equations
"Elementary Algebra: Solve Percent Applications" 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/3-2-solve-percent-applications. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Fractions, Decimal And Percentages? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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