Mathematics (9-1) - 0980 CIE

Indices I

Akopọ

Indices are mathematical shorthand for repeated multiplication, and the rules of indices let you combine powers without writing them out in full. They make light work of expressions that would otherwise be huge, and they are the foundation of standard form and much of the algebra ahead.

In this lesson you will use positive, zero and negative indices, and apply the laws of indices to multiply, divide and raise powers. These few rules, once secure, turn complicated-looking expressions into quick one-line simplifications.

Awọn Afojusun

  1. Understand and use indices (positive, zero and negative integers).
  2. Understand and use the rules of indices.
  3. Understand and use indices (positive, zero, negative, and fractional). (Extended only)

Akọ̀wé Ẹ̀kọ́

Writing \(2 \times 2 \times 2 \times 2 \times 2\) as \(2^5\) is more than neat: it lets you combine powers using simple rules. Those rules reappear in standard form, surds and algebraic manipulation, so they earn their keep many times over.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Indices I. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Simplify 2^3 x 2^4. A. 2^7 B. 2^12 C. 4^7 D. 2^1 Answer: A
  2. Simplify 5^6 ÷ 5^2. A. 5^3 B. 5^4 C. 5^8 D. 1^4 Answer: B
  3. What is the value of 7^0? A. 0 B. 1 C. 7 D. 70 Answer: B
  4. What is the value of 2^-3? A. -8 B. -6 C. 1/8 D. 6 Answer: C
  5. Simplify (3^2)^3. A. 3^5 B. 3^6 C. 3^8 D. 9^3 Answer: B

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
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O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Indices I? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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