Question

What is the number four billions six hundred thousand, fifty written in expanded form ?
(A) $4,000,000,000 + 600,000 + 50$
(B) $4,000,000,000 + 60,000 + 50$
(C) $4,000,000,000 + 650,000$
(D) $4,000,000,000 + 6,000 + 50$

Answer 1

Expanded form- Expanded form is a way of writing numbers to see the math value of individual digits.
In expanded form we break the given number according to the place value of each digit.
In this way we expand the to see the value of each digit.
For example- 11
1. We will arrange them in a place value chart from right to left.
Number = 11

2. Writing in expanded form -
Multiply the digit of each column with its place value and add them.
Like -
¡. Form right in 1st column, digit is and its place value is
So, \[1 \times 1 = 1\]
¡¡. likewise in 2nd column , digit is and its place value is
So, \[1 \times 10 = 10\]
Therefore expanded form of 11 will be
\[11 = 10 + 1\]
Let's take another example
Number 312

¡. 1st column from right-: \[2 \times 1 = 2\]
¡¡. 2nd column -: \[1 \times 10 = 10\]
¡¡¡. 3rd column -: \[3 \times 100 = 300\]
So the expanded form of given number
\[312 = 300 + 10 + 2\]
Now let's solve the question.
Step by step solution :
Given number is in the form of words. So first we will write every digit in its place value.

Now we will multiply each digit with its respective place value.
i. \[0 \times 1 = 0\]
¡¡. \[5 \times 10 = 50\]
¡¡¡. \[0 \times 100 = 0\]
iv. \[0 \times 1000 = 0\]
v. \[0 \times 10,000 = 0\]
vi. \[6 \times 100,000 = 600,000\]
vii. \[0 \times 1000,000 = 0\]
viii. \[0 \times 10,000,000 = 0\]
ix. \[0 \times 100,000,000 = 0\]
x. \[4 \times 1000,000,000 = 4000,000,000\]
Now add them from bottom to top
So,
Four billion six hundred thousand fifty \[ = 4000,000,000 + 600,000 + 50\]
Therefore option B is correct.
Note : Each digit in a given number has a place value. To better understand place value, numbers can be put in a place-value chart so that the value of each digit can be identified. In this way any whole number can be expressed in standard form or expanded form.
But a point to remember is we have to write digits from right to left in place of the value chart.
And while adding we need to go from left to right.
Like in the above example we write 4000,000,000 in first place and 50 in last.