Tell what property allows you to compute 1 3 × 6 × 4 3 as 1 3 × 6 × 4 3 .

Given, 1 3 × 6 × 4 3 is computed as 1 3 × 6 × 4 3 . By using associative property of rational numbers under multiplication, for any rational numbers a , b and c we have, a × b × c = a × b × c Hence, the required property which allows the given computation is associative property.

Is 8 9 the multiplicative inverse of - 1 1 8 ? Why or why not?

Given numbers are 8 9 and - 1 1 8 . - 1 1 8 is equal to - 9 8 . And, - 9 8 × 8 9 = - 1 A multiplicative inverse or reciprocal for a number x , denoted by 1 x , is a number which when multiplied by x yields the multiplicative identity 1 . But, here we observe that the product is not 1 . Hence, 8 9 is not the multiplicative inverse of - 1 1 8 .

Is 0 . 3 the multiplicative inverse of 3 1 3 ? Why or why not ?

Given numbers are 0 . 3 and 3 1 3 . 0.3 = 3 10 3 1 3 = 10 3 A multiplicative inverse or reciprocal for a number x , denoted by 1 x , is a number which when multiplied by x yields the multiplicative identity 1 As we know, multiplicative inverse of a b is b a , multiplicative inverse of 10 3 is 3 10 . Hence, 0 . 3 is the multiplicative inverse of 3 1 3 .