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Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.?
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Write the smallest and the largest digit in the blank space so that nu...
To determine the smallest and largest digit that can be placed in the blank space of the number 78__34 to make it divisible by 3, we need to follow the rule of divisibility by 3. A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 1: Calculate the sum of the known digits
- The digits we have are: 7, 8, 3, 4.
- Calculate their sum:
Sum = 7 + 8 + 3 + 4 = 22
Step 2: Add the unknown digit
- Let’s denote the unknown digit as \( x \).
- The total sum of the digits will be:
Total Sum = 22 + x
Step 3: Check for divisibility by 3
- We need \( 22 + x \) to be divisible by 3.
- To find suitable values for \( x \), calculate \( 22 \mod 3 \):
22 mod 3 = 1
- Thus, \( 22 + x \) will be divisible by 3 if \( x \mod 3 = 2 \).
Step 4: Identify possible digits for \( x \)
- The digits that satisfy \( x \mod 3 = 2 \) are: 2, 5, and 8.
Step 5: Determine the smallest and largest digits
- The smallest digit that can be placed in the blank is:
Smallest Digit = 2
- The largest digit that can be placed is:
Largest Digit = 8
In conclusion, for the number 78__34 to be divisible by 3, the smallest digit that can be used is 2, and the largest digit is 8.
Step 1: Calculate the sum of the known digits
- The digits we have are: 7, 8, 3, 4.
- Calculate their sum:
Sum = 7 + 8 + 3 + 4 = 22
Step 2: Add the unknown digit
- Let’s denote the unknown digit as \( x \).
- The total sum of the digits will be:
Total Sum = 22 + x
Step 3: Check for divisibility by 3
- We need \( 22 + x \) to be divisible by 3.
- To find suitable values for \( x \), calculate \( 22 \mod 3 \):
22 mod 3 = 1
- Thus, \( 22 + x \) will be divisible by 3 if \( x \mod 3 = 2 \).
Step 4: Identify possible digits for \( x \)
- The digits that satisfy \( x \mod 3 = 2 \) are: 2, 5, and 8.
Step 5: Determine the smallest and largest digits
- The smallest digit that can be placed in the blank is:
Smallest Digit = 2
- The largest digit that can be placed is:
Largest Digit = 8
In conclusion, for the number 78__34 to be divisible by 3, the smallest digit that can be used is 2, and the largest digit is 8.
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Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.?
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Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.?.
Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3.?.
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