## Ncert Solutions for Class 6 Maths Chapter 8 Decimals Exercise 8.4:-

**Exercise 8.4**Ā Class 6 maths NCERT solutions Chapter 8 Decimals pdf download:-

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### Ncert Solution for Class 6 Maths Chapter 8 Decimals Exercise 8.4 Tips:-

**Length**

Mahesh wanted to measure the length of his

table top in metres. He had a 50 cm scale.

He found that the length of the table top was

156 cm. What will be its length in metres?

Mahesh knew that

1 cm =

1

100 m or 0.01 m

Therefore, 56 cm =

56

100 m = 0.56 m

Thus, the length of the table top is

156 cm = 100 cm + 56 cm

= 1 m +

56

100 m = 1.56 m.

Mahesh also wants to represent

this length pictorially. He took

squared papers of equal size and

divided them into 100 equal parts.

He considered each small square as

one cm.

**Weight**

Nandu bought 500g potatoes, 250g capsicum,

700g onions, 500g tomatoes, 100g ginger and

300g radish. What is the total weight of the

vegetables in the bag? Let us add the weight of all

the vegetables in the bag.

500 g + 250 g + 700 g + 500 g + 100 g + 300 g

= 2350 g

**Multiplication of Decimal Numbers by 10, 100 and 1000**

Reshma observed that 2.3 =

23

10 whereas 2.35 =

235

100 . Thus, she found that depending

on the position of the decimal point the decimal number can be converted to a fraction with

denominator 10 or 100. She wondered what would happen if a decimal number is multiplied

by 10 or 100 or 1000.

Let us see if we can find a pattern of multiplying numbers by 10 or 100 or 1000.

Have a look at the table given below and fill in the blanks:

Observe the shift of the decimal point of the products in the table. Here the numbers are

multiplied by 10,100 and 1000. In 1.76 Ć 10 = 17.6, the digits are same i.e., 1, 7 and 6. Do

you observe this in other products also? Observe 1.76 and 17.6. To which side has the

decimal point shifted, right or left? The decimal point has shifted to the right by one place.

Note that 10 has one zero over 1.

In 1.76Ć100 = 176.0, observe 1.76 and 176.0. To which side and by how many

digits has the decimal point shifted? The decimal point has shifted to the right by two

places.

Note that 100 has two zeros over one.

Do you observe similar shifting of decimal point in other products also?

So we say, when a decimal number is multiplied by 10, 100 or 1000, the digits in

the product are same as in the decimal number but the decimal

point in the product is shifted to the right by as, many of places as

there are zeros over one.

Based on these observations we can now say

0.07 Ć 10 = 0.7, 0.07 Ć 100 = 7 and 0.07 Ć 1000 = 70.

Can you now tell 2.97 Ć 10 = ? 2.97 Ć 100 = ? 2.97 Ć 1000 = ?

Can you now help Reshma to find the total amount i.e., ` 8.50 Ć 150, that she has

to pay?