Change one digit to make the number 20013 divisible by 10 without a remainder.
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Change one digit to make the number 20013 divisible by 10 without a remainder.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem gives us the number 20013.
Step 2: According to the divisibility rule for 10, a number is divisible by 10 if its last digit is 0.
Step 3: Currently, the last digit of 20013 is 3. To make it divisible by 10, this digit should be changed to 0.
Therefore, the solution to the problem is Replace 3 with 0.
Replace 3 with 0
Is the number 10 divisible by 4?
Because 10 = 2 × 5, and when we divide any number by 10, we're essentially removing the last digit. If that last digit isn't 0, we'll have a remainder!
Changing any other digit won't help! For example, changing the first 0 in 20013 to make 22013 still leaves us with 3 in the units place, so it's still not divisible by 10.
No! Only changing 3 to 0 works. Any other digit (like 1, 2, 4, 5, 6, 7, 8, 9) in the last position will leave a remainder when divided by 10.
Look at your new number and ask: Does it end in 0? If yes, it's divisible by 10. You can also do quick division: 20010 ÷ 10 = 2001 exactly!
With the constraint of changing only one digit, there's only one solution: change 3 to 0. If we could change multiple digits, there would be other options!
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