Question

Standard form of \[900000000 + 3000 + 7\] is
A.\[90003007\]
B.\[900003007\]
C.\[900003000\]
D.\[9000307\]

Answer 1

Hint: Here, we will solve this problem by adding the digits in the one’s place. Then we will add the digits in the tens place and continue doing this method until all the digits in the respective places have been added. This will give us the standard form of the given expanded number.

Complete step-by-step answer:
The given number \[900000000 + 3000 + 7\] is expressed in the expanded form. We have to find its standard form.
Let us first begin by adding the digits in the one’s place of \[90000000,3000\] and \[7\]. The one’s digits are 0,0 and 7 respectively. So, the sum of one’s digits is \[0 + 0 + 7 = 7\].
Next, we will add the digits in the ten’s place. The ten’s digits are 0,0 and 0 respectively. So, the sum of ten’s digits is \[0 + 0 + 0 = 0\].
We will now add the digits in the hundred’s place. The hundred’s digits are 0,0 and 0 respectively. Hence, the sum of hundred’s digits is \[0 + 0 + 0 = 0\].
Now, we will add the digits in the thousand’s place. The thousand’s digits are 0,3 and 0 respectively. Thus, the sum of a thousand's digits is \[0 + 3 + 0 = 3\].
Next, we will add the digits in the ten thousand’s place. The ten thousand’s digits are 0,0 and 0 respectively. So, the sum of ten thousand’s digits is \[0 + 0 + 0 = 0\].
We shall now add the digits in the lakh’s place. The lakh’s digits are 0,0 and 0 respectively. Hence, the sum of lakh’s digits is \[0 + 0 + 0 = 0\].
Now, we will add the digits in the ten lakh’s place. The ten lakh’s digits are 0,0 and 0 respectively. Hence, the sum of ten lakh’s digits is \[0 + 0 + 0 = 0\].
We now have to add the digits in the crore’s place. The crore’s digits are 0,0 and 0 respectively. Hence, the sum of crore’s digits is \[0 + 0 + 0 = 0\].
Finally, we will add the digits in the ten crore’s place. The ten crore’s digits are 9,0 and 0 respectively. Hence, the sum of ten crore’s digits is \[9 + 0 + 0 = 9\].
Therefore, from the above discussion, the standard form of \[900000000 + 3000 + 7\] is \[900003007\].
Thus the correct option is option B.

Note: We can also find the standard form of \[900000000 + 3000 + 7\] using an alternate method.
We will break each number as a multiple of 10 then simplify it to find the required answer. That mean we will follow place value method, therefore we get
\[\begin{array}{c}900000000 + 3000 + 7 = 9 \times 100000000 + 0 \times 10000000 + 0 \times 1000000 + 0 \times 100000 + 0 \times 10000\\ + 3 \times 1000 + 0 \times 100 + 0 \times 10 + 7 \times 1\end{array}\]
Now writing the digits according the place value, we get
\[ \Rightarrow 900000000 + 3000 + 7 = 900003007\]