Question

Use properties of addition to find 37 + 48 mentally, Show your steps and identify the properties that you used.

Answer 1

To mentally calculate 37 + 48, utilize the Commutative Property of Addition to rearrange the terms into tens and ones, then add them separately to find the sum of 85.

Step-by-step explanation:

To find 37 + 48 mentally using properties of addition, you can apply commutativity and associativity to simplify the calculation. Here's a step-by-step explanation:

1. Break down the numbers into tens and ones: (30 + 7) + (40 + 8).
2. Use the Commutative Property of Addition (A+B = B+A) to rearrange the terms: (30 + 40) + (7 + 8).
3. Add the tens: 30 + 40 = 70.
4. Add the ones: 7 + 8 = 15.
5. Combine the sums of tens and ones: 70 + 15 = 85.

The result of 37 + 48 is therefore 85. By using the commutative property to rearrange the numbers into a more manageable form, and then adding the tens and the ones separately, you can easily perform this calculation in your head.