im learning about scientific notation in math, one of the problems is to express this product in scientific notation(4×103×2×102)=800000 i just wanted to know if 800,000 is the correct answer. If it is how would i show my work?
There are two ways that you can get the answer:
One way: remove the powers:
4 x 10³ = 4000 and 2 x 10² = 200 and 4000 x 200 = 800 000
Other way: when you multiply two numbers that have the same base, add the exponents:
4 x 10³ x 2 x 10² = 4 x 2 x 10³ x 10² = 8 x 10^5 = 800 000
because the exponents were added (2 + 3 = 5).
There are two ways that you can get the answer:
One way: remove the powers:
4 x 10³ = 4000 and 2 x 10² = 200 and 4000 x 200 = 800 000
Other way: when you multiply two numbers that have the same base, add the exponents:
4 x 10³ x 2 x 10² = 4 x 2 x 10³ x 10² = 8 x 10^5 = 800 000
because the exponents were added (2 + 3 = 5).