Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10 . Write the answer in simplest form.(1 point

13 answers

To multiply fractions, you simply multiply the numerators together and multiply the denominators together.

Using the properties of operations and rules for multiplying signed numbers, we can multiply -2/5 by 3/10 as follows:

(-2/5) * (3/10) = (-2 * 3) / (5 * 10)

= -6 / 50

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 2:

-6 / 50 = -3 / 25

Therefore, the answer, written in simplest form, is -3/25.
Multiply 4 by −5/8 . Write the answer as a mixed number in simplest form.
To multiply a whole number by a fraction, we can first convert the whole number to a fraction with a denominator of 1.

4 can be written as 4/1.

Then, we can multiply the numerators together and multiply the denominators together.

(4/1) * (-5/8) = (4 * -5) / (1 * 8)

= -20 / 8

To simplify the fraction, we can divide the numerator and the denominator by their greatest common factor, which is 4.

-20 / 8 = -5 / 2

Now, to write the answer as a mixed number, we divide the numerator by the denominator, and the quotient becomes the whole number part, while the remainder becomes the numerator of the fractional part.

-5 divided by 2 is -2 with a remainder of -1.

Therefore, the answer, written as a mixed number in simplest form, is -2 and 1/2.
Multiply 6.5 by 0.3. Write the answer as a decimal.
To multiply decimals, we simply multiply the numbers together as we would with whole numbers, and then count the total number of decimal places in the original numbers.

6.5 multiplied by 0.3 is:

6.5 * 0.3 = 1.95

Since the original numbers have one decimal place each, the answer will also have one decimal place.

Therefore, the answer is 1.95.
Multiply −19.3 by 6.
To multiply a decimal by a whole number, we can ignore the decimal point and multiply the numbers as if they were whole numbers. Then, we can determine the placement of the decimal point in the final answer.

-19.3 multiplied by 6 is:

-19.3 * 6 = -115.8

Since the original decimal has one decimal place, the final answer will have one decimal place as well.

Therefore, the answer is -115.8.
Multiply −2 1/2 by −1 3/5 . Write the answer as a decimal.
To multiply mixed numbers, we can first convert them to improper fractions. Then, we can multiply the fractions together. Finally, we can convert the resulting fraction back to a mixed number or decimal.

Converting -2 1/2 to an improper fraction:

-2 1/2 = -2-1/2 = -5/2

Converting -1 3/5 to an improper fraction:

-1 3/5 = -1-3/5 = -8/5

Next, we multiply the two fractions together:

(-5/2) * (-8/5) = (5 * 8) / (2 * 5) = 40 / 10 = 4

Finally, the resulting fraction, 4, can be written as a decimal by dividing the numerator by the denominator:

4 / 1 = 4.0

Therefore, the answer as a decimal is 4.0.
so 4?
Yes, that's correct! The answer as a decimal is 4.
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