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Galina-37 [17]
2 years ago
6

Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3

,000. Then find the exact sum and the exact difference. Provide a detailed explanation as to how you reached your answers and why they will work.​
Mathematics
1 answer:
lianna [129]2 years ago
8 0

Answer:

x + y = 10,999.5 (rounded up to 11000)

x - y =  3,000.3 (this would be rounded down to 3000)

Step-by-step explanation:

Assume;

Two numbers are x, y

So,

x + y = 11,000 .......eq1

x - y = 3,000 .........eq2

eq1 + eq2

So,

2x =14,000

x = 7,000

So y = 4,000

For rounding number

x = 6,999.9 (rounded up to 7,000)

y = 3,999.6 (rounded up to 4,000)

Sum;

x + y = 10999.5 (rounded up to 11000)

x - y =  3000.3 (this would be rounded down to 3000)

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