Determine if the following number is divisible by 3:
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Determine if the following number is divisible by 3:
To determine if 352 is divisible by 3, we need to follow these steps:
Let's work through the procedure:
The number consists of the digits 3, 5, and 2.
Step 1: Calculate the sum of the digits.
The sum is .
Step 2: Check if 10 is divisible by 3.
Since 10 divided by 3 gives a remainder, 10 is not divisible by 3.
Therefore, the number 352 is not divisible by 3.
The correct answer is No.
No
Determine if the following number is divisible by 3:
\( 352 \)
This works because of how our place value system relates to multiples of 3. When you break down any number into its digits, the leftover parts after removing multiples of 3 will always equal the digit sum modulo 3.
Keep adding! For example, if digit sum = 27, add again: 2 + 7 = 9. Since 9 is divisible by 3, the original number is too. Keep going until you get a single digit.
Yes! The digit sum test works for 3 and 9. For other numbers like 2, 4, 5, 6, 8, and 10, you need different rules (like checking the last digit or last few digits).
Think of multiples of 3: 3, 6, 9, 12... Since 10 falls between 9 and 12, it's not a multiple of 3. You can also do 10 ÷ 3 = 3 remainder 1.
Double-check your addition! For 352: write it out clearly as 3 + 5 + 2. Count on your fingers if needed. Accuracy in the digit sum is crucial for the right answer.
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