Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3 1/0
. Write the answer in simplest form
To multiply −2/5 by 3 1/0, we need to convert the mixed number 3 1/0 to an improper fraction.
Starting with 3 1/0, we can see that the whole number part, 3, is equivalent to 3 * 0/0 = 0/0. Adding the fraction part, 1/0, we have:
0/0 + 1/0 = 1/0.
Now we have −2/5 multiplied by 1/0.
Using the property of operations, any number multiplied by 0 is equal to 0. Therefore, 1/0 multiplied by any number will result in 0.
So, the product of −2/5 and 3 1/0 is 0.
−2/5 by 3/10
To multiply −2/5 by 3/10, we can simply multiply the numerators (−2 * 3) and multiply the denominators (5 * 10).
−2 * 3 = −6
5 * 10 = 50
So, the product of −2/5 and 3/10 is −6/50.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
−6 divided by 2 is −3.
50 divided by 2 is 25.
Therefore, the simplified product of −2/5 and 3/10 is −3/25.
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.
To multiply 4 by −5/8, we multiply the numerators (4 * -5) and multiply the denominators (1 * 8).
4 * -5 = -20
1 * 8 = 8
So, the product of 4 and -5/8 is -20/8.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
-20 divided by 4 is -5.
8 divided by 4 is 2.
Therefore, the simplified product of 4 and -5/8 is -5/2.
To write this fraction as a mixed number, we divide the numerator (-5) by the denominator (2). The quotient is -2 and the remainder is -1.
So, -5/2 as a mixed number in simplest form is -2 1/2.
Multiply 6.5 by 0.3. Write the answer as a decimal
To multiply 6.5 by 0.3, we simply multiply the two numbers together.
6.5 * 0.3 = 1.95
So, the product of 6.5 and 0.3 is 1.95.
Multiply −19.3 by 6.
To multiply −19.3 by 6, we simply multiply the two numbers together.
−19.3 * 6 = −115.8
So, the product of −19.3 and 6 is −115.8.
To multiply −2/5 by 3 1/0, we need to follow the rules for multiplying signed numbers and properties of operations:
Step 1: Convert mixed numbers to improper fractions.
3 1/0 can be written as an improper fraction:
3 1/0 = (3 * 0 + 1) / 0 = 1/0
Step 2: Multiply the numerators and denominators.
(−2/5) * (1/0) = (−2 * 1) / (5 * 0) = −2/0
Step 3: Simplify the fraction, if possible.
In this case, we cannot simplify the fraction because it has 0 in the denominator. Dividing by zero is undefined.
Thus, the result of multiplying −2/5 by 3 1/0, in simplest form, is undefined (undefined/0).