Quotient Properties

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1. Quotient Property Examples
2. Quotient Properties Of Radicals
3. Quotient Properties Of Exponents Calculator
4. Quotient Property Example
5. Rayleigh Quotient Properties

In division we will see the relationship between thedividend, divisor, quotient and remainder. The number which we divide is calledthe dividend. The number by which we divide is called the divisor. The result obtainedis called the quotient. The number left over is called the remainder.

55 ÷ 9 = 6 and 1

• Power of a Quotient Property Rule The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. Let’s start by defining some terms as they relate to exponents.
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Dividend Divisor Quotient Remainder

For example:

(i) Divide 217 by 4

— Quotient Property of Square Roots 64 = √ — 15 — √ — 64 = √ — 15–8 b. √ — Quotient Property of Square Roots 81 — x2 = √ — 81 — √ — x2 = Simplify. 9 — x You can extend the Product and Quotient Properties of Square Roots to other radicals, such as cube roots. When using these properties of cube roots, the.

Here, Dividend = 217

Divisor = 4

Quotient = 54

Remainder = 1

(ii) Divide 5679 by 7

Here, Dividend = 5679

Divisor = 7

Quotient = 811

Remainder = 2

Remainder, 55 ÷ 9 can also write as 9) 55 ( or 9) 55

Note: dividend = divisor × quotient + remainder

The dividend, divisor, quotient and remainder will help us toverify the answer of division. Add remainder (if any) with the product ofdivisor and quotient. The sum we get should be equal to the dividend.

Let us consider someexamples to verify the answer of division.

(i) Divide 38468 by 17 and verify the answer.

Now let us verify the answer;

dividend = divisor × quotient + remainder

38468 = 17 × 2262 + 14

= 38454 + 14

= 38468

So, the answer is correct.

The quotient is 2262 and the remainder is 14.

(ii) Divide 58791 by 36 and verify the answer.

Now let us verify the answer;

dividend = divisor × quotient + remainder

58791 = 36 × 1633 + 3

= 58788 + 3

= 58791

So, the answer is correct.

The quotient is 1633 and the remainder is 3.

Propertiesof division:

When zero is divided by a number the quotient is zero.

For example:

(i) 0 ÷ 4 = 0

(ii) 0 ÷ 12 = 0

(iii) 0 ÷ 25 = 0

(iv) 0 ÷ 314 = 0

(v) 0 ÷ 225 = 0

(vi) 0 ÷ 7135 = 0

Division of a number by zero is not possible.

For example, wecannot divide 74 by 0.

If we divide any number by 1, the quotient is the numberitself. Casino royale james bond 1967.

For example:

(i) 28 ÷ 1 = 28

(ii) 4558 ÷ 1 = 4558

(iii) 335 ÷ 1 = 335

(iv) 9387 ÷ 1 = 9387

Quotient Property Examples

If we divide a non-zero number by itself, the quotient is 1.

Quotient Properties Of Radicals

For example:

(i) 45 ÷ 45 = 1

(ii) 98 ÷ 98 = 1

(iii) 1371 ÷ 1371 = 1

(iv) 5138 ÷ 5138 = 1

Quotient Properties Of Exponents Calculator

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Quotient Property Example

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Rayleigh Quotient Properties

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