Determine the sign of the product of - 16.8 × 3/7
Negative
1,037
-4 1/4
-0.38
Whitefish
-$75
Always negative
52.28
4 3/8
4/5
0.4
6.35
-$4.30
The commutative property of multiplication says that changing the order in which you multiply, the factors does not change the answer; a x b = b x a
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To determine the sign of the product, we need to consider the signs of the factors involved.
-16.8 is negative because it is preceded by a negative symbol.
3/7 is positive because both 3 and 7 are positive numbers.
When a negative number is multiplied by a positive number, the product is always negative.
Therefore, the sign of the product - 16.8 × 3/7 is negative.
To determine the sign of the product of -16.8 multiplied by 3/7, we need to consider the rules for multiplying positive and negative numbers.
The rule states that the product of a negative number and a positive number is always negative.
Given that -16.8 is negative and 3/7 is positive, the product of -16.8 multiplied by 3/7 will be negative.
To determine the sign of the product of -16.8 × 3/7, we need to follow these steps:
Step 1: Calculate -16.8 × 3.
To multiply a positive number with a negative number, we multiply their absolute values and assign a negative sign to the product.
So, the absolute value of -16.8 is 16.8, and multiplying it by 3 gives us 50.4.
Step 2: Calculate the product of 50.4 and 1/7.
To multiply a positive number with a fraction, we multiply their absolute values and check the signs.
Here, the absolute value of 1/7 is 1/7 itself. So, multiplying 50.4 by 1/7 gives us a positive result of 50.4/7 or 7.2.
Step 3: Determine the sign of the final product.
Since we initially had a negative sign for -16.8, and we then performed two multiplications that resulted in a positive number, the final sign of the product -16.8 × 3/7 is positive.
Therefore, the sign of the product of -16.8 × 3/7 is positive (+).