Which of the numbers 7 245, 1 192, 1 857, 3 978, and 1 362 satisfies the inquality ?

• A
7 245
• B
1 857
• C
1 362
• D
1 192

### Example

Which of the numbers 7 245, 1 192, 1 857, 3 978, and 1 362 satisfies the inquality ?

### Solution

First find the sum of .

To add numbers, always start by adding the units digits, then the tens digits, then the hundreds digits, and so on.

Rename 15 units as 1 ten and 5 units. Rename 19 tens as 1 hundred and 9 tens. Rename 10 hundreds as 1 thousand and 0 hundreds.

Now we need to find the number that, when added to , is greater than .

Since the right side of the inequality is greater than the left side, it makes sense to try the greatest possible answer first. has more thousands that the other possible answers, so it is the greatest number.

Find the sum of . Rename 12 units as 1 ten and 2 units.

Now compare the sums, and .

Start by comparing the thousands places. 6 thousands thousands, so and .

So, we know that the number missing from the inequality is .

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