Question

1. draw a picture to show that 4:5 is equivalent to the ratio 8:10. 4:5 8:10

Explanation:

Step1: Understand ratio concept

A ratio represents a comparison of quantities. For 4:5, we can think of it as 4 of one - type object and 5 of another - type object. For 8:10, it's 8 of one - type object and 10 of another - type object.

Step2: Draw for 4:5

Draw 4 circles (for example) of one color and 5 circles of another color.

Step3: Draw for 8:10

Draw 8 circles of the first - color and 10 circles of the second - color. Notice that if we consider the proportion, the ratio of the number of circles of the first color to the second color is the same in both cases. We can also think of it in terms of groups. If we group the circles in the 8:10 case into groups of 2, we get 4 groups of the first - color circles and 5 groups of the second - color circles, which is equivalent to the 4:5 ratio.

Answer:

Draw two sets of circles (or any other shape). For the first set, draw 4 circles of one color and 5 circles of another color to represent 4:5. For the second set, draw 8 circles of the first color and 10 circles of the second color to represent 8:10, and observe the equivalent proportion.