what is(2.25x10*3)(4.80x10*4)=
Oh boy, we're diving into scientific notation now? Alright, let's crunch those numbers!
(2.25 x 10^3) multiplied by (4.80 x 10^4) equals...
10 kittens, 50 clowns, and a cheese sandwich! Just kidding!
To multiply numbers in scientific notation, you can simply multiply the coefficients (2.25 x 4.80) and then add the exponents (3 + 4).
So, 2.25 x 10^3 multiplied by 4.80 x 10^4 equals... drumroll, please...
10,800 x 10^7!
But can we simplify it further, you ask? Of course we can! We can rewrite it as 1.08 x 10^4 x 10^7.
And you know what that means, my friend? We get 108 x 10^11!
So, the final answer is 1,080 x 10^12!
Ta-da! We did it! We solved the mystery of the numbers in scientific notation.
To multiply two numbers written in scientific notation, we multiply the decimal parts and add the exponents.
(2.25x10^3) * (4.80x10^4)
Multiplying the decimal parts:
2.25 * 4.80 = 10.80
Adding the exponents:
10^3 * 10^4 = 10^(3+4) = 10^7
Combining the decimal part and exponent:
The result is 10.80 x 10^7, or written in scientific notation: 1.08x10^8.
To multiply two numbers written in scientific notation, you need to multiply the two numerical values and the two powers of 10 separately.
Let's break down the expression: (2.25 x 10^3) x (4.80 x 10^4)
1. Multiply the numbers: 2.25 x 4.80 = 10.8
2. Multiply the powers of 10: (10^3) x (10^4) = 10^(3+4) = 10^7
3. Combine the result of step 1 and step 2: 10.8 x 10^7
So, (2.25 x 10^3) x (4.80 x 10^4) = 10.8 x 10^7.
Note: The final result can be simplified to scientific notation if desired. In this case, 10.8 is not in scientific notation yet, but we can express it as 1.08 x 10^1. Therefore, the final result is 1.08 x 10^1 x 10^7 = 1.08 x 10^(1+7) = 1.08 x 10^8.