Question

Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .

Answer 1

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.

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.