# Forming 2-Digit Numbers | Forming Best and Smallest 2-Digit Quantity

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We’ll study forming 2-digit numbers.

**What number of 2-digit numbers might be fashioned utilizing the digits 2
and seven?**

There are two methods to make 2-digit numbers utilizing the given

digits.

**I.** By repeating the digits – 22 and 77

**II.** With out repeating the digits – 27 and 72

Thus, there are

4 2-digit numbers that may be made utilizing the digits 2 and seven.

**Forming Best 2-Digit
Quantity:**

**For Instance:**

**1. Construct the best 2-digit quantity attainable utilizing the
digits 5 and 1.**

**Step 1**: Begin with the best digit within the biggest place.

Since, 5 > 1, put 5 within the tens place.

**Step 2:** Now put the following biggest digit within the ones place.

If repetition is allowed, the best 2-digit quantity is 55.

If repetition shouldn’t be allowed, the best 2-digit quantity is

51.

Since 55 > 51, the best 2-digit quantity attainable utilizing

the given digits is 55.

**2. Construct the best 2-digit quantity attainable utilizing the
digits 8 and 4.**

**Step 1:** Begin with the best digit within the biggest place.

Since, 8 > 4, put 8 within the tens place.

**Step 2:** Now put the following biggest digit within the ones place.

If repetition is allowed, the best 2-digit quantity is 88.

If repetition shouldn’t be allowed, the best 2-digit quantity is

84.

Since 88 > 84, the best 2-digit quantity attainable utilizing

the given digits is 88.

**Forming smallest 2-digit
quantity**

**For Instance:**

**1. Construct the smallest 2-digit quantity attainable utilizing the
digits 2 and 1.**

Step 1: Begin with the smallest digit within the biggest place.

Since, 1 < 2, put 1 within the tens place.

Step 2: If repetition is allowed, the smallest 2-digit

quantity is 11.

If repetition shouldn’t be allowed, the smallest 2-digit quantity is

12.

Since 11 < 12, the smallest 2-digit quantity attainable utilizing

the given digits is 11.

**2. Construct the smallest 2-digit quantity attainable utilizing the
digits 7 and three.**

Step 1: Begin with the smallest digit within the biggest place.

Since, 3 < 7, put 3 within the tens place.

Step 2: If repetition is allowed, the smallest 2-digit

quantity is 33.

If repetition shouldn’t be allowed, the smallest 2-digit quantity is

37.

Since 33 < 37, the smallest 2-digit quantity attainable utilizing

the given digits is 33.

**3. Construct the smallest 2-digit quantity attainable utilizing the
digits 6 and 0, with out repeating any of the digits.**

0 < 6, however beginning with zero makes 06, which isn’t a

2-digit quantity.

Therefore, we start with the following smallest digit which is 6.

Now put the following smallest digit which is 0 within the ones

place. Thus, 60 is the smallest 2-digit quantity fashioned utilizing the given digits.

**Questions on Forming 2-Digit Numbers:**

**I. Write the best and smallest 2-digit numbers fashioned
by the next digits, provided that the repetition of digits is allowed.**

(i) 1, 9 __________; __________

(ii) 0, 7 __________; __________

**II. Construct the numbers utilizing the given digits in every of the
following, with out repeating any of the digits.**

(i) The best 2-digit quantity utilizing the digits 5 and seven

(ii)

The smallest 2-digit quantity utilizing the digits 0 and eight

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