Is the number below divisible by 9?
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Is the number below divisible by 9?
To determine if 987 is divisible by 9, we use the divisibility rule that a number is divisible by 9 if the sum of its digits is also divisible by 9.
Let's follow these steps:
We have the digits 9, 8, and 7. Therefore, their sum is:
We divide 24 by 9:
Since 24 does not evenly divide by 9 (it does not result in an integer), 24 is not divisible by 9.
Thus, since the sum of the digits (24) is not divisible by 9, the number 987 is not divisible by 9.
Therefore, the solution to the problem is No.
No
Determine if the following number is divisible by 3:
\( 352 \)
This works because of how our base-10 number system relates to 9. When you add digits, you're finding the remainder when divided by 9. It's a mathematical shortcut that always works!
Keep adding! If you get 24, you can add again: . Since 6 isn't divisible by 9, neither is the original number. Keep going until you get a single digit.
Yes! The digit sum test works for 3 and 9. For 3, if the digit sum divides by 3, so does the original number. Try it with different examples!
A number divides evenly if there's no remainder - the result is a whole number. has a decimal, so it doesn't divide evenly.
Absolutely! Calculators help verify your work. If you get a decimal result, the division isn't even. You can also think: 9 × 2 = 18, and 24 - 18 = 6, so there's a remainder.
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