Determine the sign of the product of 17/32×(−1/10)

To determine the sign of the product of 17/32×(−1/10), we can look at the signs of the two fractions being multiplied.

The fraction 17/32 is positive because the numerator (17) is positive and the denominator (32) is positive.

The fraction −1/10 is negative because the numerator (−1) is negative and the denominator (10) is positive.

When we multiply a positive number (17/32) by a negative number (−1/10), the product is negative.

Therefore, the sign of the product 17/32×(−1/10) is negative.

Determine the sign of the product of −0.708×−6.24.

To determine the sign of the product, we need to multiply the two numbers, −0.708 and −6.24.

The product of two negative numbers is positive. Therefore, the sign of the product −0.708×−6.24 is positive.

−5×(−4)

To determine the sign of the product, we need to multiply the two numbers, -5 and -4.

The product of two negative numbers is positive. Therefore, the sign of the product -5×(-4) is positive.

Multiply 11×−9.

To multiply 11×(-9), you simply multiply the two numbers together:

11 × (-9) = -99

Therefore, the result of 11 multiplied by -9 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 left parenthesis negative 1 right parenthesis equals negative a

a×b=b×a
a times b equals b times a

a×1=a
a times 1 equals a

The correct statement that shows the Commutative Property of Multiplication is:

a×b=b×a
a times b equals b times a.

To determine the sign of the product of 17/32 × (-1/10), we need to multiply the two fractions together.

Step 1: Multiply the numerators together. 17 × (-1) = -17.

Step 2: Multiply the denominators together. 32 × 10 = 320.

Step 3: Simplify the result. -17/320 cannot be simplified any further.

The sign of the product is negative because we are multiplying a positive number (17/32) with a negative number (-1/10). Therefore, the product of 17/32 × (-1/10) is -17/320.