Shannon states that 758−513=245  because 7−5=2 ,  5−1=4 , and  8−3=5 .  First, state whether you agree or disagree. Then, explain briefly how to subtract mixed numbers with unlike denominators. Be sure to show your solution as a subtraction equation.

Respuesta :

I disagree with Shannon's statement. While it's true that 7 - 5 = 2, 5 - 1 = 4, and 8 - 3 = 5, these are individual digit subtractions. When subtracting multi-digit numbers like 758 and 513, we need to consider place value.

To subtract mixed numbers with unlike denominators, we first need to rewrite them so that they have a common denominator. Then, we subtract the fractions separately and perform the subtraction for the whole numbers.

Let's demonstrate the subtraction of 513 from 758:

758 - 513

Step 1: Rewrite the mixed numbers with a common denominator:

758 = 700 + 50 + 8

513 = 500 + 10 + 3

Step 2: Subtract the fractions:

50 - 10 = 40

8 - 3 = 5

Step 3: Subtract the whole numbers:

700 - 500 = 200

Step 4: Combine the results:

200 + 40 + 5 = 245

So, the correct result of 758 - 513 is indeed 245. However, Shannon's explanation is not accurate as it doesn't consider the place value of each digit when subtracting multi-digit numbers.