Question

Identify the place value for the underlined digit of the number below. 8,523,615
The place value of 3 is
(A). Millions
(B). Thousands
(C). Hundreds
(D). Tens

Answer 1

Hint: For solving this problem, first expand the number in terms of product of powers of 10. Now, by observing the number of zeros in the power of 10, we can easily predict the place value of the desired number.

Complete step-by-step solution -

In mathematics, the number system is the branch that deals with various types of numbers possible to form and easy to operate with different operators such as addition, multiplication and so on.
The number 8,523,615 falls under the category of positive natural number. Now, expanding the given number in terms of products powers of 10, we get
$8523615=8\times {{10}^{6}}+5\times {{10}^{5}}+2\times {{10}^{4}}+3\times {{10}^{3}}+6\times {{10}^{2}}+1\times {{10}^{1}}+5\times {{10}^{0}}$
Now, expanding the powers into digits, we get
$8523615=8\times 1000000+5\times 100000+2\times 10000+3\times 1000+6\times 100+1\times 10+5\times 1$
As per the obtained expansion, the digit 3 is multiplied with 1000. So, the place value of 3 is thousands.
Hence, option (b) is correct.

Note: The key concept involved in solving this problem is the knowledge of representation of a number to obtain place value. Alternatively, by simply observing the number from the rightmost end, we can easily predict the place value. Since 3 is present at 4th place to the right of end, so the place value is thousands.