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Find 1008 × 1002 using the same base method (base 1000).
- a)1,016,016
- b)1,016,006
- c)1,016,026
- d)1,016,036
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1...
1008|+008, 1002|+002. Cross-add: 1008 + 2 = 1010 (or 1002 + 8 = 1010). Vertical: 008 × 002 = 016. Combine: 1010|016 = 1,016,016. So, 1008 × 1002 = 1,016,016.
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Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1...
Understanding the Base Method
To find 1008 × 1002 using the base method (base 1000), we can simplify the calculation by expressing each number in relation to the base.
Step 1: Express the Numbers
- 1008 can be written as (1000 + 8)
- 1002 can be written as (1000 + 2)
Step 2: Apply the Formula
Using the formula (a + b)(a + c) = a^2 + (b + c)a + bc, where:
- a = 1000
- b = 8
- c = 2
We can substitute these values into the formula.
Step 3: Calculate Each Component
- a^2 = 1000^2 = 1,000,000
- (b + c)a = (8 + 2) × 1000 = 10 × 1000 = 10,000
- bc = 8 × 2 = 16
Step 4: Add the Components Together
Now, we sum these results:
- 1,000,000 + 10,000 + 16 = 1,010,016
Step 5: Conclude the Calculation
Thus, 1008 × 1002 = 1,010,016.
Identifying the Correct Option
However, there seems to be an inconsistency because the correct answer provided is option 'A' which is 1,016,016. Please double-check the base calculation or the options provided.
In summary, the calculated product using the base method gives us 1,010,016. The correct understanding of this method ensures accuracy in handling large numbers effectively.
To find 1008 × 1002 using the base method (base 1000), we can simplify the calculation by expressing each number in relation to the base.
Step 1: Express the Numbers
- 1008 can be written as (1000 + 8)
- 1002 can be written as (1000 + 2)
Step 2: Apply the Formula
Using the formula (a + b)(a + c) = a^2 + (b + c)a + bc, where:
- a = 1000
- b = 8
- c = 2
We can substitute these values into the formula.
Step 3: Calculate Each Component
- a^2 = 1000^2 = 1,000,000
- (b + c)a = (8 + 2) × 1000 = 10 × 1000 = 10,000
- bc = 8 × 2 = 16
Step 4: Add the Components Together
Now, we sum these results:
- 1,000,000 + 10,000 + 16 = 1,010,016
Step 5: Conclude the Calculation
Thus, 1008 × 1002 = 1,010,016.
Identifying the Correct Option
However, there seems to be an inconsistency because the correct answer provided is option 'A' which is 1,016,016. Please double-check the base calculation or the options provided.
In summary, the calculated product using the base method gives us 1,010,016. The correct understanding of this method ensures accuracy in handling large numbers effectively.
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Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1,016,006c)1,016,026d)1,016,036Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1,016,006c)1,016,026d)1,016,036Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1,016,006c)1,016,026d)1,016,036Correct answer is option 'A'. Can you explain this answer?.
Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1,016,006c)1,016,026d)1,016,036Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1,016,006c)1,016,026d)1,016,036Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find 1008 × 1002 using the same base method (base 1000).a)1,016,016b)1,016,006c)1,016,026d)1,016,036Correct answer is option 'A'. Can you explain this answer?.
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