NCERT Solutions For Class 6 Maths Chapter 8 Exercise 8.4
Ncert Solutions for Class 6 Maths Chapter 8 Decimals Exercise 8.4:-
Exercise 8.4 Class 6 maths NCERT solutions Chapter 8 Decimals pdf download:-
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 × 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 1.76×100 = 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 × 10 = 0.7, 0.07 × 100 = 7 and 0.07 × 1000 = 70.
Can you now tell 2.97 × 10 = ? 2.97 × 100 = ? 2.97 × 1000 = ?
Can you now help Reshma to find the total amount i.e., ` 8.50 × 150, that she has
to pay?
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