Final answer:
The correct statements about the expression 0.1 ÷ 10 are that it represents breaking the dividend into 10 equal parts to model the quotient, and the correct equation for the expression is 0.1 ÷ 10 = 0.01. The quotient is not greater than the dividend and the quotient is not 1; it is 0.01.
Step-by-step explanation:
When considering the statements about the expression that represents division, we need to understand how division works with decimal numbers and their related quantities. To determine if these statements are true, we look at the division of 0.1 (the dividend) by 10 (the divisor).
- The model represents 0.1. (If the model is showing one-tenth, then this is true.)
- The quotient is 1. (This is false; when you divide 0.1 by 10, you get 0.01 as the quotient.)
- To model the quotient, the red bar in the dividend needs to be broken into 10 equal parts. (True, this helps to visually represent dividing by 10.)
- The quotient is greater than the dividend. (False, 0.01 is less than 0.1.)
- The equation that can be written from the expression is 0.1 ÷ 10 = 0.01. (True, this is the correct equation for the expression.)
The rules of algebra teach us that we can only get a quotient of 1 if the numerator and denominator of a fraction are the same, which is not the case in 0.1 ÷ 10.