Question

\[3 \times 10000 + 7 \times 1000 + 9 \times 100 + 4\] is the same as:
A) 3794
B) 39740
C) 37904
D) 379409

Answer 1

Hint:
Here we need to find the value of the given expression of the numbers. For that, we will use the BODMAS rule to simplify the expression. According to this rule, multiplication is operated before addition. We will first multiply the terms and then we will add the multiplied terms. From there, we will get the required answer.

Complete Step by Step Solution:
Here we need to find the value of the given expression i.e. \[3 \times 10000 + 7 \times 1000 + 9 \times 100 + 4\].
Here we will use the BODMAS rule to simplify this expression.
BODMAS stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. It explains the order of operations to be followed while solving an expression.
So using this rule, we will first multiply the numbers and then we will add the multiplied numbers.
On multiplying the numbers, we get
\[ \Rightarrow 3 \times 10000 + 7 \times 1000 + 9 \times 100 + 4 = 30000 + 7000 + 900 + 4\]
Now, we will add the multiplied numbers.
\[ \Rightarrow 3 \times 10000 + 7 \times 1000 + 9 \times 100 + 4 = 37904\]
Thus, the value of the given expression is 37904.

Hence, the correct option is option (c).

Note:
The given expression is the expanded form of the number 37904. In the expanded form of any number, the numbers are broken according to their place value. We can see that the digit 3 of a number 37904 is at ten thousandth place, so the 3 was multiplied with the number 10000, similarly 7 is multiplied with the number 1000 as the digit 7 is at thousandth place. Similarly, the numbers are multiplied with digits according to their place and then they were added. When we find the value of the expanded form of a number, we get the value equal to that number.