Whats 2,000,000,000 x 1,000?
The Correct Answer and Explanation is :
The correct answer to ( 2,000,000,000 \times 1,000 ) is 2,000,000,000,000 (2 trillion).
Explanation:
Multiplication is one of the four basic arithmetic operations, and it is essentially repeated addition. In this case, you are multiplying ( 2,000,000,000 ) (two billion) by ( 1,000 ). To perform the multiplication, you can break it down by understanding how the numbers are structured.
- ( 2,000,000,000 ) is written in standard form as two billion. In expanded form, this is:
[
2,000,000,000 = 2 \times 10^9
]
where ( 10^9 ) represents 1 followed by nine zeros. - ( 1,000 ) is written as ( 10^3 ), since 1,000 is 1 followed by three zeros.
Now, to multiply the two numbers:
[
(2 \times 10^9) \times 10^3 = 2 \times 10^{9+3} = 2 \times 10^{12}
]
This simplifies to ( 2,000,000,000,000 ), or 2 trillion.
Why does this work?
When you multiply numbers in scientific notation or with powers of 10, the exponents add up. In this case, multiplying ( 10^9 ) by ( 10^3 ) results in ( 10^{12} ), shifting the decimal point 12 places to the right, which gives us the result of 2 trillion. This is the fundamental property of exponents, where ( 10^a \times 10^b = 10^{a+b} ).
In simpler terms:
Multiplying by 1,000 simply shifts the original number (2 billion) three places to the right, adding three zeros to the end, which is why ( 2,000,000,000 \times 1,000 = 2,000,000,000,000 ).