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

To multiply two fractions, we simply multiply the numerators together and multiply the denominators together.

In this case, we have (-2/5) * (3/10).

Multiplying the numerators gives us (-2 * 3) = -6.

Multiplying the denominators gives us (5 * 10) = 50.

Therefore, the answer is -6/50.

To simplify further, we can divide both the numerator and denominator by their greatest common divisor, which is 2.

-6 divided by 2 is -3, and 50 divided by 2 is 25.

So, the final simplified answer 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 simply multiply the whole number by the numerator of the fraction and keep the denominator the same.

In this case, we have 4 * (-5/8).

Multiplying 4 by -5 gives us -20.

The denominator remains the same, so the answer is -20/8.

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

-20 divided by 4 is -5, and 8 divided by 4 is 2.

So, the final simplified fraction is -5/2.

To write this answer as a mixed number, we divide the numerator (-5) by the denominator (2).

-5 divided by 2 is -2 remainder 1.

Therefore, the answer is -2 1/2 in simplest form.

Multiply 6.5 by 0.3. Write the answer as a decimal.

To multiply decimals, we can ignore the decimal points and multiply the numbers as if they were whole numbers. After we have the product, we count the total number of decimal places in the original numbers and place the decimal point in the product accordingly.

In this case, we have 6.5 * 0.3.

Ignoring the decimal points, we have 65 * 3, which equals 195.

Next, we count the total number of decimal places in the original numbers. 6.5 has one decimal place, and 0.3 has one decimal place, making a total of two decimal places.

Therefore, the decimal point in the product will be placed two places from the right, giving us the final answer of 19.5.

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. After we have the product, we place the decimal point in the answer by counting the total number of decimal places in the original decimal.

In this case, we have -19.3 * 6.

Ignoring the decimal point, we have 193 * 6, which equals 1158.

Next, we count the total number of decimal places in the original decimal, which is one.

Therefore, we place the decimal point in the answer one place from the right, giving us the final answer of -115.8.

Multiply 2 1/2 by -1 3/5. write the answer as a decimal.

To multiply mixed numbers, we first convert them into improper fractions.

First, we convert 2 1/2 to an improper fraction:

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Next, we convert -1 3/5 to an improper fraction:

-1 3/5 = (-1 * 5 + 3) / 5 = -8/5

Now, we can multiply the improper fractions:

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

To write the answer as a decimal, we divide the numerator (-40) by the denominator (10).

-40 divided by 10 is -4.

Therefore, the answer as a decimal is -4.

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