Answer:
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
The correct difference is 406.
Step-by-step explanation:
First, we will complete the explanation,
For the difference,864 − 458, Luke got 416;
The explanation of the mistake Luke made is
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
Such that, the difference of the ones (14 - 8) gives him 6 ones,
difference of the tens (6 - 5) gives him 1 ten
and difference of the hundreds ( 8 - 4) gives him 4 hundreds
Hence, his answer 416.
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
So that, the difference of the ones (14 - 8) will give him 6 ones,
difference of the tens (5 - 5) will give him 0 ten
and difference of the hundreds (8 - 4) will give him 4 hundreds
Hence, he would have gotten 406.
The correct difference is 406.