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 fractions, we simply multiply the numerators and multiply the denominators.
So, to multiply -2\5 by 3\10, we have (-2/5) * (3/10).
Multiplying the numerators, we get: -2 * 3 = -6
Multiplying the denominators, we get: 5 * 10 = 50
So, the answer is -6/50.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
So, -6/50 simplifies to -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 convert the whole number to a fraction by placing it over 1.
So, we have 4 * (-5/8), which is the same as (4/1) * (-5/8).
Multiplying the numerators, we get: 4 * -5 = -20
Multiplying the denominators, we get: 1 * 8 = 8
So, the result is -20/8.
To simplify this fraction, we need to reduce it to its lowest terms. Both -20 and 8 are divisible by 4.
Dividing both the numerator and denominator by 4, we get: (-20/8) ÷ 4 = -5/2
So, the final answer 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 can simply multiply the numbers as if they were whole numbers and then adjust the decimal point in the product.
So, to multiply 6.5 by 0.3, we ignore the decimal point for now and multiply 65 by 3:
65 * 3 = 195
Now, we need to adjust the decimal point. We count the total number of decimal places in the original numbers, which is 1 + 1 = 2.
So, we place the decimal point in the product, starting from the right, counting 2 places: 1.95.
Therefore, the answer is 1.95.
Multiply −19.3 by 6
To multiply a negative number by a positive number, we multiply the absolute values and then assign the product a negative sign.
So, we have (-19.3) * 6.
Multiplying the absolute values, we get: 19.3 * 6 = 115.8
Since we are multiplying a negative number by a positive number, the product is negative.
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 first convert them to improper fractions.
-2 1\2 = -5/2
-1 3\5 = -8/5
Now, we multiply the fractions: (-5/2) * (-8/5).
Multiplying the numerators, we get: -5 * -8 = 40.
Multiplying the denominators, we get: 2 * 5 = 10.
So, the product is 40/10.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10, we get: 40/10 = 4/1 = 4.
Therefore, the answer as a decimal is 4.