Yes.
If one is zero, then the product is always zero.(Think about it ... you take 279 zero times. How much do you have ?)
Any product of any list of factors is zero, if one of the factors is zero.
The product of a number of factors can be zero only if one of them is zero.So, if a given expression is zero, you factorise it and then, by the above rule, the statement is true if any one of the factors is zero. You therefore set each factor equal to zero to find the different possible solutions.
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.
It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.
Why the product of a multiple of ten and a multiple of ten will always have only one zero
If one is zero, then the product is always zero.(Think about it ... you take 279 zero times. How much do you have ?)
Any product of any list of factors is zero, if one of the factors is zero.
The sign of the factors. These are the rules: * If there is a zero factor, the product is zero. * If there is an even number of negative factors (two, four, six, etc. odd factors), the product is positive. * If there is an odd number of negative factors (one, three, five, etc. odd factors), the productd is negative.
The product of a number of factors can be zero only if one of them is zero.So, if a given expression is zero, you factorise it and then, by the above rule, the statement is true if any one of the factors is zero. You therefore set each factor equal to zero to find the different possible solutions.
Provided that the rational number is not 0, the product is irrational.
Anytime you multiply a number by zero, the product will always be zero. Thus, whenever a number, regardless of its value, is multiplied by zero, there is only one possible solution: zero.
Associative Property is when you can change the group of factors . The product stays the same..Like (5x2)X4=10x4=40 same like 5X(2x4)=5x8=40 commutative property of multiplication is when you can change the order of the factors and the product stays the same. Like 7x4=28 & 4x7=28. Zero property of multiplication is when one of the factors is zero the product is always zero 8 x 0=0 0x4=0 identity property of multiplication is when one of the factors is one the product is always the other factor. 6x1=6 1x9=9 18x0=0 is Zero property because according to the definition when one of the factors is zero the product is always zeroin 18 * there is a zero. 9X25=25X9 is commutative property of multiplication because according to the definition you can switch it up and it will still be the same thing just like every other multiplication problem except the zero property.
This can be solved algebraically: x2 = x x2 - x = 0 x (x - 1) = 0 A product is zero when one of the factors is zero, so x is either zero, or one.
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.
The product of two integers will be: * Zero, if one factor, or both, are zero. * Positive, if both factors have the same sign (both positive, or both negative) * Negative, if the two factors have different signs. Actually, these rules apply to all real numbers, not just to integers.
It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.