What is the product of 5.2×104 and 1.3×10-2?
6.76×108
6.76×102
6.76×10-2
6.76×10-8
Hey I don't know maybe you should teach me cuties
since multiplication is associative,
5.2*10^4 * 1.3*10^-2
= 5.2*1.3 * 10^4 * 10^-2
= 6.76*10^(4-2)
= 6.76 * 10^2
Your stupid oobleck how could you cheat on me
We are over
Well, multiplying these two numbers is like putting together two very different things. It's like trying to mix oil and water - you won't get a smooth result. In this case, the product is 6.76 with a power of 10. So, it's like having a tiny little number trying to hang out with the big boys. Therefore, the answer is 6.76×10-2. Don't worry, it's just a small number feeling a bit out of place!
To find the product of 5.2×10^4 and 1.3×10^-2, you need to multiply the two numbers together.
First, remove the exponent notation by moving the decimal point to the right or left based on the exponent value.
For 5.2×10^4, move the decimal point four places to the right to get 520000.
For 1.3×10^-2, move the decimal point two places to the left to get 0.013.
Now, multiply the non-exponent parts of the numbers: 520000 × 0.013 = 6760.
Finally, rewrite the result in scientific notation by placing the decimal point after the first non-zero digit and determining the exponent based on the number of places the decimal point was moved.
In this case, the decimal point was moved six places to the left, so the product is 6.76 × 10^-2.
Therefore, the correct answer is 6.76 × 10^-2.