High School

Which expression shows a way to find [tex]438 + 197 + 362[/tex]?

A. [tex](438 + 197) + 362[/tex]
B. [tex]438 + (197 + 362)[/tex]
C. [tex](438 + 362) + 197[/tex]
D. All of the above

Answer :

Final answer:

To find the sum of 438 + 197 + 362, one method is to add sequentially. An alternative is to use estimation and properties of addition for easier calculation, then adjust for the estimation to find the exact answer.

Explanation:

The question is asking about the addition of three numbers, and one way to find the sum of 438 + 197 + 362 is to add the numbers sequentially. You first add 438 and 197 to get a subtotal, and then add this subtotal to 362. Another method is to use properties of addition such as commutativity and associativity to rearrange the numbers for easier mental calculation. For instance, one might notice that 197 is close to 200 and decide to round it for an estimation:

  • 200 (rounded from 197) + 438 = 638
  • 638 + 362 = 1000
  • 1000 - 3 (since we rounded 197 up by 3) = 997

The exact answer would then be derived by adding back the 3 we subtracted for rounding, resulting in a sum of 997. This is a specific example of how math can provide many paths to the same answer, and these different methods can be used to check and reinforce each other.

Answer:

.

Step-by-step explanation:

we are asked to write an expression that shows how to multiply 4 and 362 using place value ans expanded form. The expanded form of 362 is 300 + 60+ 2. IN this case, the expression is 4*(300 +60+ 2) that is we distribute 4 to the numbers inside that is 1200 + 240 + 8 equal to 1448