Question

What is the place value of \['7'\] in the number \[710,621,684\]?
(A) \[700,000,000\]
(B) \[7\text{ }millions\]
(C) \[7\text{ }tens\]
(D) \[7\]

Answer 1

Hint: To find the value of any digit in a number that number will be multiplied with the value of the digit. The concept of place value should be known to everyone because it makes our calculations easier. With the help of place value, we can also write a number in expanded form.

Complete step-by-step solution:
Place value of a number represents its value in the given number. It also gives us the location of the number. Depending on the position of a digit in a number its value can be obtained. The order of digits starts from the unit place and goes on from left to right in a number. It goes like this-ones, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on. Suppose if a number has two or more similar digits then their values cannot be the same as they are at different locations and are having a different value. If we want to find out the place value of a digit in a number then its face value will be multiplied by the value of the place in the given number. The knowledge of place value also helps when you have to round the nearest number. The knowledge of the place value of a number also becomes helpful when you have to write the number in the form of words.
If we talk about the face value of a digit then the face value of the digit in the number represents the number itself. In the number \[710,621,684\], there are nine digits, and the value of digits increases from right to left. The number \[710,621,684\] can also be written in an expanded form which is as follows.
\[710621684=700000000+10000000+600000+20000+1000+600+80+4\]
The place value of zero is not shown in expanded form because when zero gets multiplied with any number then the result comes out to be zero.
 So, the value of \['7'\] in \[710,621,684\] will be \[700,000,000\].
The correct answer will be (A) \[700,000,000\].

Note: The place value of every one-digit number is the same and will be equal to its face value and the place value of zero in a number always remains zero. There is one more amazing thing and it is that the place value of the tens place digit in a given number always comes out to be ten times the number.