Two billion six hundred million in expanded notation using power of 10
Sure, let's expand the number 2,600,000,000 using powers of 10:
2,600,000,000 can be written as 2.6 * 10^9.
So, it's like saying you have 2.6 billion bananas, but instead of using all those zeros, we just use the power of 10. It's like banana shorthand!
To express the number 2,600,000,000 in expanded notation using powers of 10, we can break it down as follows:
2,600,000,000 = 2 × 1,000,000,000
In expanded notation, we can write 1,000,000,000 as 10^9. Therefore:
2,600,000,000 = 2 × 10^9
So, two billion six hundred million in expanded notation using the power of 10 is 2 × 10^9.
To express the number two billion six hundred million in expanded notation using the power of 10, we can break it down into its individual place values and multiply them by the corresponding power of 10.
First, let's break down the number into its place values:
- The digit 2 occupies the billions place.
- The digit 6 occupies the hundreds of millions place.
To express these place values in expanded notation with powers of 10, we need to multiply them by the corresponding power of 10. In expanded notation, each place value is represented by multiplying the digit with the power of 10 of its position.
- The billions place (2) represents 2 * 10^9.
- The hundreds of millions place (6) represents 6 * 10^8.
Putting it all together, we get the expanded notation of two billion six hundred million using powers of 10 as:
2,600,000,000 = 2 * 10^9 + 6 * 10^8
The digits are 26
Since 1 billion is 10^9, that gives 2.6*10^9
There are lots of ways of writing that as "a power of 10" but the above is scientific notation.