Answer:
8. 8/9 is not the multiplicative inverse of –1⅛
9. 0.3 is the multiplicative inverse of 3⅓
Explanation:
To answer the above questions, we must understand the meaning of multiplicative inverse. This is illustrated below:
Let y be the number.
The multiplicative inverse of y denoted by y¯¹ (or 1/y) when multiplied with y will give an identity of 1 i.e
y × y¯¹ = 1
Or
y × 1/y = 1
Now, let us answer the questions given above by calculating the multiplicative inverse.
8. The number (y) = –1⅛ = –9/8
Multiplicative inverse (y¯¹) =?
y × y¯¹ = 1
–9/8 × y¯¹ = 1
Divide both side by –9/8
y¯¹ = 1 ÷ –9/8
y¯¹ = 1 × –8/9
y¯¹ = –8/9
Thus, 8/9 is not the multiplicative inverse of –1⅛
9. The number (y) = 3⅓ = 10/3
Multiplicative inverse (y¯¹) =?
y × y¯¹ = 1
10/3 × y¯¹ = 1
Divide both side by 10/3
y¯¹ = 1 ÷ 10/3
y¯¹ = 1 × 3/10
y¯¹ = 3/10
y¯¹ = 0.3
Thus, 0.3 is the multiplicative inverse of 3⅓.