The difference of 1000 – 100 equals(a) 100 (b) 101 (c) 110 (d) 111
The correct answer and explanation is:
The difference of 1000 – 100 equals 900, which is not listed among the options (a) 100, (b) 101, (c) 110, or (d) 111.
So, none of the given options is correct.
Explanation:
The operation “difference” refers to subtraction. When we say “the difference of 1000 – 100,” we are simply calculating:
$$
1000 – 100 = 900
$$
Here’s a step-by-step breakdown:
- Identify the numbers: 1000 and 100.
- Understand the operation: Difference means subtract the smaller number from the larger one.
- Subtract the values:
- 1000 – 100 means we take 100 away from 1000.
- When you remove 100 from 1000, you have 900 left.
- Result: The result is 900.
Since 900 is the answer but it is not listed in the options, it’s possible there is either a typographical error in the question or in the choices provided.
Common errors in subtraction problems like this:
- Misreading numbers, for example, confusing 1000 with 100 or mixing digits.
- Incorrect subtraction by subtracting digits separately without carrying or borrowing.
- Misinterpretation of what “difference” means.
Verifying each option:
- (a) 100 — This would mean 1000 – 900 = 100, which is incorrect.
- (b) 101 — No simple subtraction of 1000 and 100 yields 101.
- (c) 110 — Also unrelated.
- (d) 111 — Also unrelated.
If the question intended a different subtraction, for example, 111 – 10, then an answer of 101 could make sense, but for 1000 – 100, the difference is clearly 900.