Question

49 which expression can be represented by the model? 16 × 0.1 1 × 0.6 16 × 10 1 × 6

Explanation:

Step1: Analyze the model

The first square is fully shaded (1 whole), and the second square is divided into 10 equal parts, with 6 parts shaded. So total shaded parts: 10 (from first square) + 6 (from second square) = 16 parts, each part is 0.1 (since each square is divided into 10 parts, so each part is \( \frac{1}{10} = 0.1 \)).

Step2: Match with expressions

So the total shaded is \( 16 \times 0.1 \), because there are 16 parts each of 0.1. Let's check other options: \( 1 \times 0.6 \) is too small, \( 16 \times 10 \) is too big, \( 1 \times 6 \) is 6, but our model has 16 parts of 0.1 which is 1.6, and \( 16 \times 0.1 = 1.6 \), while \( 1 \times 6 = 6 \), \( 1 \times 0.6 = 0.6 \), \( 16 \times 10 = 160 \). So the correct expression is \( 16 \times 0.1 \).

Answer:

\( 16 \times 0.1 \)