Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310
. Write the answer in simplest form.(1 point)
Responses
−650
negative Start Fraction 6 over 50 End Fraction
35
Start Fraction 3 over 5 End Fraction
−65
negative Start Fraction 6 over 5 End Fraction
−325
Answers.
-3/25
-2 1/2
1.95
-115.8
4
? Is correct for connexus
To multiply −25 by 310, we simply multiply the absolute values of the numbers and determine the sign of the product.
|-25| x |310| = 25 x 310 = 7750
Since one of the factors is negative, the product is negative.
Therefore, the answer is -7750.
Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310
. Write the answer in simplest form.(1 point)
Responses
3/5
Start Fraction 3 over 5 End Fraction
−6/5
negative Start Fraction 6 over 5 End Fraction
−3/25
negative Start Fraction 3 over 25 End Fraction
−6/50
To multiply -25 by 310, you multiply the absolute values of the numbers and determine the sign of the product.
|-25| x |310| = 25 x 310 = 7750
Since one of the factors is negative, the product is negative.
Therefore, the answer is -7750.
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)
Responses
3/5
Start Fraction 3 over 5 End Fraction
−6/5
negative Start Fraction 6 over 5 End Fraction
−3/25
negative Start Fraction 3 over 25 End Fraction
−6/50
To multiply -2/5 by 3/10, you simply multiply the numerators and denominators separately:
(-2/5) x (3/10) = (-2 x 3) / (5 x 10) = -6/50
The answer, -6/50, can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:
-6 divided by 2 = -3
50 divided by 2 = 25
Therefore, the answer, in simplest form, is -3/25.
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.(1 point)
Responses
−5/2
negative Start Fraction 5 over 2 End Fraction
−2 4/8
negative 2 Start Fraction 4 over 8 End Fraction
−10
negative 10
−2 1/2
To multiply 4 by -5/8, you multiply the whole number by the numerator:
4 x (-5) = -20
Then, you keep the same denominator:
-20/8
This can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 4:
-20 divided by 4 = -5
8 divided by 4 = 2
Therefore, the answer, in simplest form, is -5/2. However, since -5/2 is an improper fraction, it can be written as a mixed number by dividing the numerator by the denominator:
-5 divided by 2 = -2, with a remainder of 1.
Therefore, the mixed number in simplest form is -2 1/2.
Multiply 6.5 by 0.3. Write the answer as a decimal.(1 point)
Responses
19.5
19.5
1.95
1.95
0.195
0.195
1.86
To multiply 6.5 by 0.3, you simply multiply the two decimal numbers:
6.5 x 0.3 = 1.95
Therefore, the answer as a decimal is 1.95.
Multiply −19.3 by 6.(1 point)
Responses
115.8
115.8
−115.8
negative 115.8
−25.3
negative 25.3
−114.8
To multiply -19.3 by 6, you simply multiply the two decimal numbers:
-19.3 x 6 = -115.8
Therefore, the answer is -115.8.
Multiply −2 1/2 by −1 3/5. Write the answer as a decimal.(1 point)
Responses
2.86
2.86
−4.1
negative 4.1
4
4
−4
To multiply -2 1/2 by -1 3/5, you need to convert the mixed numbers to improper fractions first.
-2 1/2 = -5/2
-1 3/5 = -8/5
Then, you multiply the two fractions:
(-5/2) x (-8/5) = 40/10 = 4
Therefore, the answer as a decimal is 4.