**TS 6**^{th}Maths Concept**TS 7**^{th}Maths Concept**TS 8**^{th}Maths Concept**TS 9**^{th}Maths Concept**TS 10**^{th}**Maths****Concept**

## 6th maths notes|| TS 6 th class Maths Concept

Studying maths in the 6^{th} class successfully meaning that children take responsibility for their own learning and learn to apply the concepts to solve problems.

This note is designed by the ‘Basics in Maths’ team. These notes to do help students fall in love with mathematics and overcome fear.

**1. KNOWING OUR NUMBERS**

**• Number: **A number is a mathematical object used to count and measure.1,2,3…….etc.

**Comparing numbers:**

• We can compare the numbers by counting the digits in the numbers.

• Now Compare 5432 and 4678…

5432 is greater as the digits at the ten thousand place in 5432 is greater than that in 4678.

**Order of numbers:**

**• Ascending Order: –**

arrange the numbers from smallest to the greatest; this order is called Ascending order.

Ex:- 23, 44, 65, 79, 100

**• Descending Order: –**

arrange the numbers from greatest to the smallest, this order is called Ascending order.

Ex:- 100,79, 65, 33, 23

**Formations of numbers**

• Form the largest and smallest possible numbers using the digits 3, 2, 4, 1 without repetition

• Largest number formed by arranging the given digits in descending order _ 4321.

• Smallest number formed by arranging the given digits in ascending order _ 1234.

• Greatest two-digit number is 99.

• Greatest three-digit number is 999.

• Greatest four-digit number is 9999.

** Place value**

• Place value is the positional notation, which defines the position of a digit.

Ex:- 3458

8 is one place, 5 is tens place, 4 is hundreds place and 3 is thousands place.

**Expanded form**

• It refers to expand the numbers to see the value of each digit.

Ex :- 3458 = 3000 + 400 + 50 + 8

= 3×1000 + 4×100 + 5×10 + 8×1

**• Note:-**

1 hundred = 10 tens

1 thousand = 10 hundreds

1 lakh = 100 thousands = 1000 hundreds

**Reading and Writing the numbers**

**Place value table for Indian system :**

Example: Represents the number in 6,35,21,892 in place value table

**Place value table for International system :**

Ex:- represents the number in 635,218,924 in place value table

**Use of commas:**

**• Indian system of numeration:-** in the Indian system of numeration we use ones, tens, hundreds, thousands, lakhs and crores. The first comma comes after three digits from the right, the second comma comes two digits latter and the third comma comes after another two digits.E

Ex:- “three crores thirty-five lakh seventeen thousand four hundred thirty” can be written as.3,35,17,430

**• International system of numeration:- **in the International system of numeration we use ones, tens, hundreds, thousands, millions and billions.

Ex:- “ six hundred thirty-five million two hundred eighteen thousand nine hundred twenty-four” can be written as 635,218,924.

Note:-10 millimetres = 1centimeter

100 centimetres = 1 meter

1000 meters = 1 kilometer

1000 milligrams = 1 gram

1000 grams = 1 kilo gram