Find each product or quotient where possible. -0.5(-0.6)

Question

Accepted Answer

Hello everyone in this video we're going to be looking at this practice problem where we want to perform the multiplication negative 0.9 times negative 0.7. And in this case you can see that we're multiplying two negatives together. And recall that when you multiply two negatives together you get a positive. So although we don't know the exact value of our answer, we know that it has to be positive because we're multiplying two negative values together. So in order to figure out the exact number, let's think about this multiplication And I'll write it out without the negative values. So I'll have 0.9 times 0.7. So when multiplying decimals, an easier way to approach this is by just multiplying the digits together. So in this case my first number has a nine and my second number has a seven. So I can multiply nine times seven and that is 63. And now I can worry about incorporating the decimals. So in order to incorporate the decimals I want to figure out how many digits each of the numbers that I multiplied together has after the decimal point. So if I start with my first digit 0.9 you can see the doc simple point is right there And there is one digit after the decimal point And the same is true for 0.7. The decimal point is there and once again there's one digit after the decimal point. Well if I add all the digits after the decimal points you can see I have one plus one. So that means two digits after the decimal point. And what this means is that I want to make sure that my answer has two digits after the decimal point. Or I need to move the decimal point of my answer two spaces over to the left. So you can see here that when I multiply just the numbers nine times 7 I get 63 and the decimal point ends up being on the right after the three. But because we determined that I have two digits after the decimal point Points of my numbers, I need to make sure that I move this decimal point after the three and the 63 to the left two times. And you can see that This new answer is zero 63. So now I also have two digits after the decimal point in my answer. So this becomes my final answer when I multiply 0 -0.9 times negative 0.7. And you can see that that aligns with answer choice. A Hopefully this video helped and see you next time

Find each product or quotient where possible. -0.5(-0.6)

Key Concepts

Multiplication of Real Numbers

Properties of Operations

Order of Operations

Watch next