Standard form.
(3.4 x 10^7) x (4.5 x 10^-4)
So far I got to 15.3 x 10^3.
Now... you want to leave only one number to the left of decimal point..
1.53 x 10^4
It goes to the 4th because I made the number smaller to get into standard form.. so I have to compensate with the exponent.
If you had something like...
.25 x 10^ 3
the answer would be 2.5 x 10^2
Hope this makes sense.
I
Thanks it does.
To multiply numbers written in standard form, you need to follow these steps:
1. Multiply the two decimal numbers together. For this example, you would multiply 3.4 by 4.5, which equals 15.3.
2. Multiply the powers of 10. In this case, the exponent of 10 in the first number is 7, and in the second number, it is -4. Add these exponents together: 7 + (-4) = 3.
3. Rewrite the result from step 1 and put it in scientific notation if necessary. The product of 15.3 does not need to be written in scientific notation since it already has one decimal place.
4. Write the exponential part with the sum of the exponents of 10 from step 2. So, the final answer is 15.3 x 10^3.
It seems like you obtained the correct answer! Well done!