- Books Name
- CBSE Class 6 Mathematics Book

- Publication
- Param Publication

- Course
- CBSE Class 6

- Subject
- Mathmatics

**USING BRACKETS**

Meera bought 6 notebooks from the market and the cost was Rs 10 per notebook. Her sister Seema also bought 7 notebooks of the same type. Find the total money they paid.

Seema calculated the

6 × 10 + 7 × 10 = 60 + 70 = 130

Meera calculated the amount like this amount like this

6 + 7 =13 and 13 × 10 = 130

Ans. Rs 130.

We can see that Seema’s and Meera’s ways to get the answer are a bit different.

To avoid confusion in such cases we may use brackets. We can pack the numbers 6 and 7 together using a bracket, indicating that the pack is to be treated as a single number.

Thus, the answer is found by (6 + 7) × 10 = 13 × 10.

*First, turn everything inside the brackets ( ) into a single number and then do the operation outside which in this case is to multiply by 10.*

**FACE VALUE**

Face value of a digit in a numeral is the value of the digit itself at whatever place it may be.

**PLACE VALUE**

Place value of a digit in a given number is the value of the digit because of the place or the position of the digit in the number.

Place value of a digit = Face value of the digit × value of the place

**Place value and Face value :**

Every digit has two values – the place value and the face value. The face value of a digit does not change while its place value changes according to its position and number.

**Expanded form of a Number :**

If we express a given number as the sum of its place value, it is called its expanded form.

**Ex: ** Express

(i) 3,64,029 (ii) 2,75,00,386 in expanded form.

**Sol.** Place value of 3 = 3 x 100000

Place value of 6 = 6 x 10000

Place value of 4 = 4 x 1000

Place value of 0 = 0 x 100

Place value of 2 = 2 x 10

Place value of 9 = 9 x 1

*∴* The expanded form of 3,64,029 is

3 x 100000 + 6 x 10000 + 4 x 1000 + 0 x 100 + 2 x 10 + 9 x 1.