- What is the characteristic properties of one ?
- What is the general form of q when decimal expansion of p/q is terminating ?
- What is the general form of q when decimal expansion of p/q is non-terminating &reccuring ?
- Write the steps to solve a quadrati equation by the method of completing the square.
- What is the formula to find LCM & HCF of p,q,r,when p,q,r are given.

### Asked by sureshchp | 12th Jun, 2019, 09:27: PM

**1. Properties of One:**

i. Multiplying any number by 1 does not change the value of the number.

Examples:

8 × 1 = 8

-2 × 1 = -2

0 × 1 = 0

ii. Dividing any number by 1 does not change the value of the number.

Examples:

8 ÷1 = 8

-2 ÷ 1 = -2

0 ÷ 1 = 0

**2. **

Note: p and q should be co-prime mean HCF(p, q) = 1

If the prime factorisation of q is in the form of **2 ^{n} 5^{m} **, where m and n are non negative integers then p/q have termination decimal expansion.

**3. **

**not**in the form of

**2**, where m and n are non negative integers then p/q is non - termination recurring.

^{n}5^{m}**4.**

^{2}unity.

^{2}or (a - b)

^{2}to obtain the quadratic equation in the required form (x+a)

^{2}- b

^{2}=0. Then, take the constant term to the other side of the equation.

**5.**

For finding LCM and HCF of the given number, there is not a specific formula.

i. First find the prime factorisation of all given numbers.

HCF = common factor/s (of all the given numbers) if not then 1 is the HCF.

LCM = common factor/s × uncommon factor/s

### Answered by Yasmeen Khan | 13th Jun, 2019, 10:54: AM

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