Find the decimal form of the following fractions.
153 + 96 + 7 + \(\frac { 5 }{ 10 } \) + \(\frac { 2 }{ 1000 } \)

Write each of the following as decimals.
Four hundred four and five hundredths

Express the following as fractions
A capsule contains 0.85 mg of medicine.

Write the following fractions as decimals.
\(\frac { 9 }{ 1000 } \)

Write the following fractions as decimals.
\(\frac { 1 }{ 50 } \)

Find the decimal form of the following fractions.
 999 + 99 + 9 + \(\frac { 9 }{ 10 } \) + \(\frac { 9 }{ 100 } \)

Find the decimal form of the following fractions.
23 + \(\frac { 6 }{ 10 } \)+ \(\frac { 8 }{ 1000 } \)

Write each of the following as decimals.
Two and twenty five thousandths.

Express the following as fractions
A juice container has 4.5 litres of mango juice.

Find the area of the circle of radius 21 cm (Use π = 3.14).

Find the area of a hula loop whose diameter is 28 cm (use \(\pi =\frac { 22 }{ 7 } \)).

The area of the circular region is 2464 cm². Find its radius and diameter. (use \(\pi =\frac { 22 }{ 7 } \)).

A gardener walks around a circular park of distance 154 m. If he wants to level the park at the rate of Rs.25 per sq.m, how much amount will he need? (use \(\pi =\frac { 22 }{ 7 } \))

Find the length of the rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq.m ((use \(\pi =\frac { 22 }{ 7 } \))

A garden is made up of a rectangular portion and two semicircular regions on either sides. If the length and width of the rectangular portion are 16 m and 8 m respectively, calculate (π = 3.14)

The perimeter of the garden

garden is made up of a rectangular portion and two semicircular regions on either sides. If the length and width of the rectangular portion are 16 m and 8 m respectively, calculate (π = 3.14)

The total area of the garden

Find the unit digit of the following exponential numbers:
25²³

Find the unit digit of the following exponential numbers:
81¹⁰⁰

Find the unit digit of the following exponential numbers:
46³¹

Find the unit digit of the large numbers:
4⁷

Find the unit digit of the large numbers:
64¹⁰

Find the unit digit of the large numbers:
9¹²

Tabulate the 3^rd slanting row of the Pascal’s Triangle by taking the position of the numbers in the slanting row as x and the corresponding values as y.

x	1	2	3	4	5	6	...
y	1	3	6	10	15	21	...

Verify whether the relationship, y = \(\frac { x(x+1) }{ 2 } \) between x and y for the given values is true.

Can row sum of elements in a Pascal’s Triangle form a pattern?

Observe the numbers in the hexagonal shape given in the Pascal’s Triangle. The product of the alternate three numbers in the hexagon is equal to the product of remaining three numbers. Verify this