Sketch base-ten pieces for 2133 and explain how the test for divisibility by 4 can be used to obtain the remainder when dividing 2133 by 4.
To sketch base-ten pieces for 2133, we can use blocks or squares to represent each digit.
2 | 1 | 3 | 3
Now, let's explain how the test for divisibility by 4 can be used to obtain the remainder when dividing 2133 by 4.
The test for divisibility by 4 states that a number is divisible by 4 if the last two digits of that number are divisible by 4. This means if the number formed by the last two digits is divisible by 4, then the entire number is divisible by 4.
In the case of 2133, the last two digits are 33. Since 33 is not divisible by 4, we know that 2133 is not divisible by 4.
To obtain the remainder when dividing 2133 by 4, we can perform the division and check the remainder.
2133 รท 4 = 533 remainder 1
Therefore, when dividing 2133 by 4, the remainder is 1.