Determine the sign of the product of 17/32×(−1/10)
.(1 point)
Responses
positive
positive
The product has no sign.
The product has no sign.
both positive and negative
both positive and negative
negative
The correct answer is negative.
Determine the sign of the product of −0.708×−6.24
.(1 point)
Responses
positive
positive
negative
negative
both positive and negative
both positive and negative
The product has no sign.
The product has no sign.
The correct answer is positive.
Multiply −5×(−4)
.(1 point)
Responses
−20
negative 20
9
9
20
20
−9
The correct answer is 20.
Multiply 11×−9
.(1 point)
Responses
−99
negative 99
99
99
2
2
−2
The correct answer is -99.
Which of the following shows the Commutative Property of Multiplication?(1 point)
Responses
a×(b×c)=(a×b)×c
a times left parenthesis b times c right parenthesis equals left parenthesis a times b right parenthesis times c
a×1=a
a times 1 equals a
a×b=b×a
a times b equals b times a
a×(−1)=−a
The correct answer is "a×b=b×a." This equation shows the commutative property of multiplication, which states that the order of multiplication does not affect the result.
To determine the sign of a product, we need to consider the signs of the factors being multiplied.
In this case, we have the product of 17/32 and -1/10.
The first factor, 17/32, is positive since the numerator (17) is positive and the denominator (32) is positive.
The second factor, -1/10, is negative since it has a negative sign in front of it.
When we multiply a positive number by a negative number, the product is always negative.
Therefore, the sign of the product 17/32 × (-1/10) is negative.