Class 6 Exam > Class 6 Questions > Write the smallest and the largest digit in t...
Start Learning for Free
Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also?
Most Upvoted Answer
Write the smallest and the largest digit in the blank space so that nu...
To determine the smallest and largest digit that can replace the blank in the number 78__34 so that it is divisible by 3, we need to understand the divisibility rule for 3.
Understanding the Divisibility Rule for 3
- A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 1: Calculate the Sum of Known Digits
- First, we add the known digits of the number 78__34:
- 7 + 8 + 3 + 4 = 22
Step 2: Include the Unknown Digit
- Let the unknown digit be represented as "x". Thus, the total sum becomes:
- Total Sum = 22 + x
Step 3: Determine Conditions for Divisibility
- For the number to be divisible by 3, (22 + x) must be divisible by 3.
- The next step is to find the values of "x" (which can be any digit from 0 to 9) that satisfy this condition.
Step 4: Check Each Digit
- Now, we check each digit from 0 to 9:
- If x = 0: 22 + 0 = 22 (not divisible by 3)
- If x = 1: 22 + 1 = 23 (not divisible by 3)
- If x = 2: 22 + 2 = 24 (divisible by 3)
- If x = 3: 22 + 3 = 25 (not divisible by 3)
- If x = 4: 22 + 4 = 26 (not divisible by 3)
- If x = 5: 22 + 5 = 27 (divisible by 3)
- If x = 6: 22 + 6 = 28 (not divisible by 3)
- If x = 7: 22 + 7 = 29 (not divisible by 3)
- If x = 8: 22 + 8 = 30 (divisible by 3)
- If x = 9: 22 + 9 = 31 (not divisible by 3)
Conclusion: Smallest and Largest Digits
- The digits that make 78__34 divisible by 3 are 2, 5, and 8.
- Therefore:
- Smallest digit = 2
- Largest digit = 8
Understanding the Divisibility Rule for 3
- A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 1: Calculate the Sum of Known Digits
- First, we add the known digits of the number 78__34:
- 7 + 8 + 3 + 4 = 22
Step 2: Include the Unknown Digit
- Let the unknown digit be represented as "x". Thus, the total sum becomes:
- Total Sum = 22 + x
Step 3: Determine Conditions for Divisibility
- For the number to be divisible by 3, (22 + x) must be divisible by 3.
- The next step is to find the values of "x" (which can be any digit from 0 to 9) that satisfy this condition.
Step 4: Check Each Digit
- Now, we check each digit from 0 to 9:
- If x = 0: 22 + 0 = 22 (not divisible by 3)
- If x = 1: 22 + 1 = 23 (not divisible by 3)
- If x = 2: 22 + 2 = 24 (divisible by 3)
- If x = 3: 22 + 3 = 25 (not divisible by 3)
- If x = 4: 22 + 4 = 26 (not divisible by 3)
- If x = 5: 22 + 5 = 27 (divisible by 3)
- If x = 6: 22 + 6 = 28 (not divisible by 3)
- If x = 7: 22 + 7 = 29 (not divisible by 3)
- If x = 8: 22 + 8 = 30 (divisible by 3)
- If x = 9: 22 + 9 = 31 (not divisible by 3)
Conclusion: Smallest and Largest Digits
- The digits that make 78__34 divisible by 3 are 2, 5, and 8.
- Therefore:
- Smallest digit = 2
- Largest digit = 8
Attention Class 6 Students!
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.
|
Explore Courses for Class 6 exam
|
|
Top Courses for Class 6View all
Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also?
Question Description
Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? 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. and how the answer came can you please explain it to me also? 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. and how the answer came can you please explain it to me also?.
Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? 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. and how the answer came can you please explain it to me also? 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. and how the answer came can you please explain it to me also?.
Solutions for Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? defined & explained in the simplest way possible. Besides giving the explanation of
Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also?, a detailed solution for Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? has been provided alongside types of Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? theory, EduRev gives you an
ample number of questions to practice Write the smallest and the largest digit in the blank space so that number 78__34 is divisible by 3. and how the answer came can you please explain it to me also? tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup