Question

For 5x + 20 and the multiplicative inverse of 5, write the product and then write the expression in standard form, if possible.

Answer 1

The product of the algebraic expression 5x + 20 and the multiplicative inverse of 5 (which is 1/5) results in x + 4, which is the standard form of the expression.

Step-by-step explanation:

The student is asking how to multiply an algebraic expression, 5x + 20, by the multiplicative inverse of 5 and then write the expression in standard form. The multiplicative inverse of 5 is 1/5. Multiplying the expression by this inverse would give us (5x + 20) × (1/5), resulting in x + 4, which is the standard form of the expression.

Here's the step-by-step calculation:

1. Identify the multiplicative inverse of 5, which is 1/5.
2. Multiply each term in the expression by the inverse: (5x × 1/5) + (20 × 1/5).
3. Calculate the products: x + 4.

Following the rules listed, we know that multiplying two positive numbers or two negative numbers gives a positive result, and a positive multiplied by a negative gives a negative result. However, in this case, we're multiplying by the inverse, which doesn't change the sign of the terms in the expression.

Answer 2

1/5+20

Step-by-step explanation:

the inverse is 1 over 5 ( your number) and than substitute the inverse into your equation.

+ If you have a fraction already you flip the denominator and the numerator.