Determine the sign of the product of 17/32×(−1/10).(1 point) Responses both positive and negative both positive and negative positive positive negative negative The product has no sign. The product has no sign.
The answer is positive because a positive number multiplied by a negative number gives a negative result, therefore a positive number multiplied by a negative number will give a positive result.
Determine the sign of the product of −0.708×−6.24.(1 point)
Responses
positive
positive
negative
negative
The product has no sign.
The product has no sign.
both positive and negative
The answer is positive. When two negative numbers are multiplied together, the product is positive.
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×b=b×a
a times b equals b times a
a×(−1)=−a
a times left parenthesis negative 1 right parenthesis equals negative a
a×1=a
The correct response is "a×b=b×a." This equation shows the commutative property of multiplication, which states that the order of the factors does not affect the product. Both sides of the equation yield the same result when multiplied.
Multiply −5×(−4)
To determine the sign of a product, we need to follow two rules:
1. If the number of negative factors is even, the product is positive.
2. If the number of negative factors is odd, the product is negative.
Let's evaluate the expression step by step:
17/32 × (-1/10)
First, multiply the numerators together: 17 × -1 = -17
Then, multiply the denominators together: 32 × 10 = 320
Putting these results together, we have:
-17/320
Since we have one negative factor (-1), the number of negative factors is odd, and therefore the product is negative.
So, the correct answer is negative.