Arizona Educator Proficiency Assessments (AEPA) Early Childhood Education Practice Test

How should numbers be expressed for the value fifty-six and twenty-five using base-10 blocks?

1. 506 and 205 respectively

2. 56 and 25 respectively

3. 600 and 200 respectively

4. None of the above

The correct answer is: 506 and 205 respectively

The representation of the numbers fifty-six and twenty-five using base-10 blocks focuses on understanding the structure of numbers in the base-10 system. For the number fifty-six, it consists of 5 tens and 6 ones, which translates to the visual blocks as 5 ten rods and 6 unit blocks. The number twenty-five similarly consists of 2 tens and 5 ones, represented by 2 ten rods and 5 unit blocks. The correct choice indicates that fifty-six is represented by the value of 56, maintaining the integrity of its base-10 composition. Therefore, the first number should be expressed simply as 56, accurately depicting the quantity in terms of tens and ones. Similarly, twenty-five is accurately expressed as 25, following the same structure. The other option suggests incorrect numerical values that do not align with the base-10 representation of fifty-six and twenty-five. They either misplace the order of tens and ones or inaccurately combine them, thereby misrepresenting the intended values. Thus, the accurate representation for these numbers using base-10 blocks is indeed 56 and 25 respectively.