Find each product or quotient where possible. See Example 2. -...

Question

Find each product or quotient where possible. See Example 2. -0.06(0.4)

Accepted Answer

Hey, everyone. Here we are asked to perform multiplication to the given expression negative 0.09 multiplied by 0.5. Here we have four answer choice options, answer choice, A 0.45 answer B 0.045 answer C negative 0.45 and answer D negative 0.045. So to perform multiplication in the given expression, we can utilize the long multiplication method. So here we write negative 0.09 above 0.5. And we want to include zero in the hundreds place for 0.5. Since we have our first decimal that goes to the hundreds place. So now we can start multiplying. So we start in the hundreds place with our zero and we start multiplying zero by nine, which is just zero. We then have zero multiplied by the 10th place, which just gives us zero and lastly zero, multiplied by the ones place is also zero. And now we can move on to the 100th place. So we first place a zero as a placeholder, we then have five multiplied by nine which gives us 45. So we write down five and carry over the four to the 100th place. Now five multiplied by the hundreds place is zero. But we need to add this four. So we have just four and then we have five multiplied by the ones place, which is just zero. Now repeating this process one more time, we now have two added zeros and now we have zero multiplied by nine which is just zero and then zero multiplied by the hundreds place and by the ones place is also zero. So now just adding all of our different products here, we are left with 0450. And now that we are done multiplying, we can add in our decimals place in front of all of our values. So we have 0.0450. And we need to remember to include the negative sign since we have a negative multiplied by a positive value. And now just cleaning up our solution, our final answer is negative 0.045. And with this product, we are left with answer choice, D negative 0.045. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find each product or quotient where possible. See Example 2. -0.06(0.4)

Key Concepts

Multiplication of Real Numbers

Handling Negative Numbers in Multiplication

Decimal Place Value and Precision

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