Introducing Numbers and Number System

What is place value?

What is the value of pi, its symbol and its importance in Mathematics.

A girl is $18$years younger than her mother. In $6$years' time, the sum of their ages will be $54$. Find the age of girl.

Direction: What will come in place of the question mark(?) in the following questions?

If Bhanu spends $\frac{1}{5}$ of her pocket money on bags, $\frac{1}{8}$ on accessories, $\frac{1}{4}$ on food, $\frac{1}{10}$ on conveyance and $\frac{1}{20}\mathrm{th}$ on music CDS. If at the end of the month she saved $₹ 1210$ , find her expenditure on food and conveyance.

Direction: What will come in place of the question mark(?) in the following questions?

In a firm, $\frac{1}{3}$ of the total employees work in the production department, $\frac{1}{12}$ of the total employees are in an HR department, $\frac{1}{4}$ in the marketing department and $\frac{1}{12}$ of the total employees are in the accounts department. If the rest of the $120$ employees are from the miscellaneous department, find the total employees in the HR and marketing departments.

Direction: What will come in place of the question mark(?) in the following questions?

Sugandha spent $\frac{1}{3}$ of her profit on electricity bill and $\frac{1}{2}$ on the purchase of new furniture $\frac{1}{6}$ of the profit she left with after incurring all the office expenses is $₹ 12,000$. What will the expenditure on electricity be?

Direction: What will come in place of the question mark(?) in the following questions?

A man spends $\frac{2}{5}$ of his salary on house rent. $\frac{3}{10}$ of his salary spend on food and $\frac{1}{8}\mathrm{th}$ of his salary spend on conveyance. If he has $₹ 21,000$ left with him, find his expenditure on house rent and food.

Represent the given number using the digits:

Fifty-thousand eight.

Write the short form of:

$7000+700+7$

Write each of the following as decimals.

$\frac{7}{10}+\frac{6}{100}+\frac{3}{1000}$

Determine the difference between the place value and face value of $5$ in $7865431$.

Determine the product of the place values of two fives in $450758$.

What is the place value of $7$ in $1743$?

Write the short form of the following number.

$40000+6$

Write the short form of the following number.

$20000+4000+0+80+9$

Write a number that has $3$ ones, $2$ tens, $6$ hundreds, $7$ one thousands, $4$ ten thousands $=$

Write a number that has $1$ ten thousand, $9$ thousand, $4$ hundreds, $5$ tens, $8$ ones $=$

Write the numeral for the number name.

Ninety two thousand eighty five.

Write the numeral for the number name.

Thirty three thousand eight hundred fifteen.

Write the short form of the following number.

$90000+20+4$