Sketch base-ten pieces for the number 1316 and explain how they can be used to illustrate the test for divisibility by 4
To illustrate the test for divisibility by 4 using base-ten pieces for the number 1316, we need to examine the last two digits of the number.
1. Start by representing the hundreds, tens, and ones places using base-ten blocks: 1000 (1 thousand cube), 300 (3 hundred flats), 10 (1 ten rods), and 6 (6 units).
1000 300 10 6
2. Now, we focus on the last two digits of the number, which are 1 and 6. We can group the tens and ones places blocks together.
1000 300 (10+6)
3. Combine the blocks in the tens and ones places, which equal to 16. We can further split this into 10 and 6.
1000 300 (10) (6)
4. Now, we have visualized the number 1316 using base-ten blocks. To check if it is divisible by 4, we need to examine the last two digits, which are 10 and 6.
To test for divisibility by 4, we need to determine if the last two digits are divisible by 4. In this case, the group of tens and ones places together is 16. Since 16 is divisible by 4 (4 times 4 equals 16), we can conclude that 1316 is also divisible by 4.
Therefore, the visual representation of the number 1316 using base-ten blocks can help illustrate that it is divisible by 4 due to the divisibility property of the last two digits.