Large Numbers Class 4, deals with various concepts which are as under:-

- Successor in Maths
- Predecessor in Maths
- Consecutive Numbers
- Place value
- Expanded Form
- Standard form
- Rounding off numbers
- Roman Numerals

**Large Numbers Class 4 – Successor in Maths**

**Successor** of any whole number, is the number, obtained by **adding 1** to that number.

**Question 1**

Find the successor of 22820?

**Explanation:**

The “Successor” of any whole number is the number, obtained by adding 1 to that number.

So, the successor of 22820 is 22820 + 1 = 22821

**Large Numbers Class 4 – Predecessor in Maths**

**Predecessor** of any whole number is the number obtained by **subtracting 1** from it.

**Question 2**

Find the predecessor of 26333?

**Explanation:**

The “Predecessor” of any whole number is the number obtained by subtracting 1 from it.

So, the predecessor of 26333 is 26333 – 1 = 26332

#### Large Numbers Class 4 – Consecutive Numbers

Consecutive numbers are numbers, that follow each other , in the order of smallest to largest.

In other words, we can say that consecutive number of any given number is obtained **by adding 1 to that number.**

**Question 3**

Write the three consecutive numbers occurring just after 36135.

**Explanation:**

The next three consecutive number of 36135 can be obtained by adding 1, 2 and 3 to 36135

that is,

36135 + 1 = 36136

36135 + 2 = 36137

36135 + 3 = 36138

Hence the three consecutive number occurring just after 36135 are 36136, 36137 and 36138 respectively.

#### Large Numbers Class 4 – Place value

Place value of the digit , is the *value* of digit in a given number , with reference to its position in a given number. It is obtained as a Product of the digit , and the value of its place in the digit (ones, tens, hundreds, thousandth).

**Question 4**

Place value of 2 in 982764 is?

**Explanation:**

2 is in thousands place.

Thus, the place value of 2 is 2 x 1000 = 2000

#### Large Numbers Class 4 – Expanded Form

In order to find Expanded form of a number, we write the value of each of the digits in the number, according to its place value and express it as a sum of all these values. The steps involved are as under : –

- Step – 1 – Write the value of each of the digits in the number, according to its place value
- Step – 2 – Express the number, as the sum of all these values.

In other words, we can say that writing a number as the sum of the place value of the digits.

**Question 5**

Write expanded form of 54328?

**Explanation:**

In expanded form , we write the value of each of the digits, according to its place value

In 54328

5 is in ten thousands place.

5 x 10000 = 50000

4 is in thousands place.

4 x 1000 = 4000

3 is in hundreds place.

3 x 100 = 300

2 is in tens place.

2 x 10 = 20

8 is in ones place

8 x 1 = 8

If we add above results, we would get

50000 + 4000 + 300 + 20 + 8

**Large Numbers Class 4 – Standard form**

Standard form of a number is obtained by combining , the face value of each digit.

**Question 6**

Write the standard form of 300000 +20000 + 4000 + 600 + 70 + 2

**Explanation:**

In order to get the standard form of a given number, we have to divide them by their place values

For Lakhs place 300000 ÷ 100000 = 3

For Ten thousands place 20000 ÷ 10000 = 2

For Thousands place: 4000 ÷ 1000 = 4

For Hundreds Place: 600 ÷ 100 = 6

For Tens Place: 70 ÷ 10 = 7

For Units Place: 2 ÷ 1 = 2

Hence, the standard form of the given number is 324672

**Large Numbers Class 4 – Rounding off numbers**

**Rounding off numbers to the nearest 10 ( Tens ).**

- For rounding off a given number to the nearest tens. we will first check if the ones digit is greater than or lesser than 5.
- If the one’s digit is greater than 5, we will increase tens digit by 1, and replace ones digit by 0.
- If one’s digit is lesser than 5, we will replace ones digit by 0, and other digits remain same.

**Question 7**

Round off the given digit to the nearest ten.

49

**Explanation:**

In, present case,

49 has the number 9 in ones place

Since,

9 > 5

Hence, the required rounded number = 50

**Rounding off numbers to the nearest 100 ( Hundreds )**

**In order to round off a given number to the nearest hundreds we will first check if the tens digit is greater than or lesser than 5****If the ten’s digit is greater than 5, we will increase hundreds digit by 1 and replace tens or ones digit by 0.****If the ten’s digit is lesser than 5, we will replace tens or ones digit by 0, and other digits remain same.**

**Question 8**

Round off the given number to the nearest hundred.

427

**Explanation:**

In, present case,

We have 427 in which 2 is in tens place and 7 in ones place

We know that 2 < 5

Hence, the required rounded number is 400

**Rounding off numbers to the nearest 1000 ( Thousands ).**

**In order to round off a given number to the nearest thousands we will first check if the hundreds digit is greater than or lesser than 5****If the hundred’s digit is greater than 5, we will increase thousands digit by 1 and replace hundreds, tens and ones digit by 0.****If the hundred’s digit is lesser than 5, we will replace hundreds, tens and ones digits by 0, and other digits remain same.**

**Question 9**

Round off the given number to the nearest thousand.

3846

**Explanation:**

In, present case,

We have 3846 in which 8 is in hundred place , 4 is in tens place and 6 in ones place

So, 8 > 5

Hence, the required estimated number is 4000

#### Large Numbers Class 4 – Roman Numerals

**Rule 1** **– Repetition of a Roman Numeral means addition.**

- Only letters I, X, C, M can be repeated.
- No letter can be repeated more than 3 times.
- Letter V, L, D are never repeated.

**Rule 2** **– When a smaller numeral is placed on the left of the larger numeral, it means Subtraction.**

- I can be subtracted from V and X only.
- X can be subtracted from L and C only.
- C can be subtracted from D and M only.

**Conversion of Hindu Arabic Numerals to Roman Numerals.**

**Question 10**

Express 4 in Roman Numeral.

**Explanation:**

Step I : Express the number in expanded form.

4 = 5 – 1

Step II : Convert Expanded form of number in Roman Numeral.

5 – 1 = (V) – (I) = IV

Hence, 4 would be represented as IV in Roman Numeral.

**Question 11**

Express 48 in Roman Numeral.

**Explanation:**

Step I : Express the number in Expanded form.

48 = 40 + 5 + 3

= (50 – 10) + 5 + 3

Step II : Convert Expanded form of number in Roman Numeral.

(50 – 10) + 5 + 3 = (L – X) + (V) + (III)= XLVIII

Hence, 48 would be represented as XLVIII in Roman Numeral.

**Conversion of Roman Numerals to Hindu Arabic Numerals.**

**Question 12**

Express XVII in Hindu Arabic Numeral.

**Explanation:**

XVII = X + V + I + I

= 10 + 5 + 1 + 1

= 17

Hence, Roman Numeral XVII can be represented as 17 in Hindu Arabic Numeral.

**Question 13**

Express XIV in Hindu Arabic Numeral.

**Explanation:**

XIV = X + IV

= 10 + 4

= 14

Hence, Roman Numeral XIV can be represented as 14 in Hindu Arabic Numeral.

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