Question

Which of the following equations is an example of the multiplicative inverse property?

1) 7x0=0
2) 7x1=0
3) 7x 1/7=1
4) 7+-7=0

Answer 1

The multiplicative inverse property is demonstrated in option 3) '7 x 1/7 = 1', which shows any number multiplied by its reciprocal equals one.

Step-by-step explanation:

The equation that exemplifies the multiplicative inverse property is '7 x 1/7 = 1'. The multiplicative inverse property states that any number multiplied by its reciprocal will equal one. This is seen in option 3) where 7 is multiplied by its reciprocal (1/7). To understand this further, let's consider the general case. If you have any non-zero number 'x', the multiplicative inverse of 'x' is '1/x', and when you multiply 'x' by '1/x', you get:

xx 1/x = 1

This rule is also reflective of the concept where negative exponents denote division, such as x-1 = 1/x, thus further linking multiplication and division through reciprocals.