Determine the sign of the product of 17 3/2 × (−1/10)
Responses
both positive and negative
negative
positive
The product has no sign.
positive
Determine the sign of the product of −0.708×−6.24.(1 point)
Responses
both positive and negative
both positive and negative
The product has no sign.
The product has no sign.
positive
positive
negative
positive
Multiply −5×(−4)
The product of -5 and -4 is positive, so the answer is 20.
Multiply 11×−9.(
The product of 11 and -9 is negative. So, the answer is -99.
Question
Which of the following shows the Commutative Property of Multiplication?(1 point)
Responses
a×1=a
a times 1 equals a
a×(−1)=−a
a times left parenthesis negative 1 right parenthesis equals negative a
a×b=b×a
a times b equals b times a
a×(b×c)=(a×b)×c
The correct answer is:
a×b=b×a
a times b equals b times a
This statement shows the Commutative Property of Multiplication, which states that the order of the factors does not affect the result of the multiplication.
To determine the sign of the product of two numbers, we need to consider the following rules:
1. If both numbers are positive, the product will be positive.
2. If one number is positive and the other is negative, the product will be negative.
3. If both numbers are negative, the product will be positive.
In this case, we have:
17 3/2 × (−1/10)
To simplify the multiplication, we can convert the mixed fraction 17 3/2 into an improper fraction:
17 3/2 = (2*17 + 3)/2 = 37/2
Now we can proceed with the multiplication:
37/2 × (−1/10)
To multiply fractions, we multiply the numerators together and the denominators together:
(37 × −1) / (2 × 10) = −37/20
Based on the rules mentioned earlier:
The numerator is negative, so the product is negative.
The denominator is positive, so the product remains negative.
Therefore, the sign of the product is negative.