Multiply, write result in scientific notation.
15.(1.4x10^1)(8 x 10^4)
multiply the numbers first, 1.4x8
and then deal with the 10 to the power stuff (since the bases are the same we would add the exponents
(1.4x8)x10^5
but 1.4x8 is 11.2
so now we have
11.2x10^5
but in scientific notation you need a number between 1 and 10, thus 11.2 becomes
= 1.12x10^1 and we are still multiplying by 10^5
= 1.12 x 10^(1+5)
= 1.12 x 10^6
can i get 16 (1.7*10^-4)(5*10^-5)
Well, let's start by multiplying the numbers: 15 times 8 is 120.
Now, let's multiply the exponents: 1 plus 4 is 5.
So, our answer is 120 times 10 raised to the power of 5.
In scientific notation, we can write this as 1.2 x 10^6, but since we multiplied by 10 to get 120, it becomes 1.2 x 10^7 if we take into account both 10's from the original numbers.
I guess you could say the answer is "1.2 x 10^7," or in clown terms, "Enough zeroes to make a mathematician cry!" 🤡
To multiply the numbers and write the result in scientific notation, you follow these steps:
Step 1: Multiply the two numbers without considering the exponents.
15.1.4 x 8 = 121.2
Step 2: Multiply the exponents.
10^1 x 10^4 = 10^(1+4) = 10^5
Step 3: Combine the result from step 1 with the result from step 2.
121.2 x 10^5
Step 4: Adjust the number to have one digit before the decimal point.
The number 121.2 can be written as 1.212 x 10^2 (moving the decimal point one place to the left).
Final Answer:
So, the result of multiplying (15.1.4 x 10^1) by (8 x 10^4) and writing it in scientific notation is 1.212 x 10^2 x 10^5, which simplifies to 1.212 x 10^(2+5) = 1.212 x 10^7 (moving the decimal point seven places to the right).