Question

Write three different addition equations that have a sum of 834 and required at least one new group

Answer 1

To construct three addition equations resulting in a sum of 834 that require forming at least one new group, the equations 826 + 8 = 834, 700 + 134 = 834, and 399 + 435 = 834 can be used, each demonstrating a different instance of group formation in the tens or hundreds place.

Step-by-step explanation:

To create three different addition equations that result in a sum of 834 and require at least one new group, we must ensure that one of the addends pushes the sum over a multiple of 10, 100, or even 1000, depending on the units we are grouping.

Here are three such equations:

1. 826 + 8 = 834 (Group created within the tens)
2. 700 + 134 = 834 (Group created within the hundreds)
3. 399 + 435 = 834 (New group created when hundreds are combined)

Each equation illustrates the scenario where numbers are added, exceeding a multiple of a base 10 unit, thus forming a 'new group' in that place value. This exercising of the addition operation with regrouping is fundamental in understanding place value and number composition.