Question

write two numbers that when rounded to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000, then find the exact sum and the exact difference, I am stuck and having a really hard time helping my daughter with this

Answer 1

Answer:

The two numbers are 4000 and 7000

The estimated sum and difference are 11000 and 3000 respectively

Explanations:

According to the question, the addition of the two numbers should be 11000, and the difference should be 3000.

Let the first number be represented as x

Let the second number be represented as y

The sum of the two numbers is 11000.

Mathematically,

x + y = 11000..................(1)

The difference of the two numbers is 3000.

Mathematically,

x - y = 3000................(2)

Subtract equation (2) from equation (1), the resulting equation will be:

2y = 8000

y = 8000/2

y = 4000

Substitute the value of y into (1)

x + 4000 = 11000

x = 11000 - 4000

x = 7000

The two numbers are 4000 and 7000