Question

What is the standard form of $900000000 + 800000 + 50000 + 3000 + 20 + 3$ ?
A.$90,00,85,323$
B.$9,85,03,023$
C.$90,08,53,023$
D.$9,85,323$

Answer 1

Hint- We will approach the question by simply writing the expanded form so given as the digit and place value multiplication and will simply add zero as the digit in the resultant number if the particular place value does not take part in the expanded form.

Complete step-by-step answer:
Standard form given,
$900000000 + 800000 + 50000 + 3000 + 20 + 3$
It can be written as
$9 \times 100000000 + 8 \times 100000 + 5 \times 10000 + 3 \times 1000 + 2 \times 10 + 3 \times 1$
It can also be rewritten as,
$9 \times 10,00,00,000 + 8 \times 1,00,000 + 5 \times 10,000 + 3 \times 1,000 + 2 \times 10 + 3 \times 1$
‘,’ is inserted to relate this to Indian Place Value system.

Above can also be written as
9 Ten crores (TC) (10,00,00,000) + 8 Lakhs (L) (1,00,000) + 5 Ten Thousands (TTh) (10,000) + 3 Thousands (Th) (1,000) + 2 Tens (T) (10) + 3 Ones (O) (1)
Now whichever place values are missing in the expression, we will simply add 0 as digit in their place.
Order of place values as according to Indian Place value system should be,
90,08,53,023
Since place values are crores, ten lakhs, hundreds are missing so we wrote 0 as a digit in their place.
Hence, 90,08,53,023 is our required standard form for $900000000 + 800000 + 50000 + 3000 + 20 + 3$
$\therefore $ Option C. 90,08,53,023 is our correct answer.

Note- For this type of questions, just take care about the place values according to the Indian Place Value system so as to write the number from expanded to standard form. Just keep in mind that when we write a number as a sum of the place value of its digits, the number is said to be in expanded form and when we write a number using digits, the number is said to be in standard form.