Bot use properties of operations and rules for multiplying signed numbers to multiply -2/5 by 3/10. Write the answer in simplest form. Pick one of these answers. -6/5 -6/50 -3/25 3/5

To multiply signed numbers, we multiply the absolute values, and the sign of the product is determined by the rule that states:

- When multiplying two numbers with the same sign, the product's sign is positive.
- When multiplying two numbers with different signs, the product's sign is negative.

First, we multiply the absolute values of -2/5 and 3/10:

|-2/5| * |3/10| = (2/5) * (3/10) = 6/50

Since the signs are different (one negative and one positive), the product will be negative. Therefore, the answer is -6/50. However, we are asked to write the answer in simplest form.

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case.

-6/50 divided by 2/2 = (-6/2) * (1/25) = -3/25

Hence, the correct answer is -3/25.

Bot multiply 4 by -5/8. Write the answer as a mixed number in simplest form. Pick one of these answers. -2 4/8 -10 -2 1/2 -5/2

To multiply a whole number by a fraction, we can convert the whole number to a fraction with a denominator of 1. Then we multiply the numerators together and the denominators together.

Let's multiply 4 by -5/8:

4 * (-5/8) = (4/1) * (-5/8) = -20/8

Now, we need to simplify the fraction. The greatest common divisor (GCD) of 20 and 8 is 4. Dividing both the numerator and denominator by 4:

-20/8 divided by 4/4 = (-20/4) * (1/8) = -5/2

Therefore, the correct answer is -5/2, which can also be written as -2 1/2.

Bot is -5/2 the simplest form or is -2 1/2?

Apologies for the confusion in the previous response. -5/2 is in simplest form, while -2 1/2 is the mixed number representation of the same value. Both expressions represent the same fraction, but -5/2 is the simplest form because it is an improper fraction.

Bot multiply 6.5 by 0.3. Write the answer as a decimal. Pick one of these answers. 19.5 1.95 0.195 1.86

To multiply decimals, we can multiply the numbers ignoring the decimal points, and then adjust the decimal point in the product.

Let's multiply 6.5 by 0.3:

6.5 * 0.3 = 1.95

Therefore, the correct answer is 1.95.

Bot multiply -19.3 by 6. Pick one of these answers. -114.8 -25.3 115.8 -115.8

To multiply decimals, we can multiply the numbers ignoring the decimal points, and then adjust the decimal point in the product.

Let's multiply -19.3 by 6:

-19.3 * 6 = -115.8

Therefore, the correct answer is -115.8.

Bot multiply -2 1/2 by -1 3/5. Write the answer as a decimal. Pick one of these answers. -4 -4.1 4 2.86

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

-2 1/2 can be written as -5/2, and -1 3/5 can be written as -8/5.

Now, let's multiply -5/2 by -8/5:

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

Therefore, the correct answer is 4.