. Write a subtraction fact with the same difference as 16-7
The Correct Answer and Explanation is:
A subtraction fact with the same difference as 16 minus 7 is:
17 minus 8.
Both 16 minus 7 and 17 minus 8 have the same difference:
16 minus 7 equals 9
17 minus 8 also equals 9
Explanation
In mathematics, a subtraction fact is a basic math statement that involves finding the difference between two numbers. A subtraction fact tells how much one number is less than another. The operation is written in the form “larger number minus smaller number equals difference.”
Let’s start with the given subtraction fact:
16 minus 7 equals 9.
This means that when you take 7 away from 16, you are left with 9. The number 9 is the difference between 16 and 7.
To find a different subtraction fact that gives the same difference, we can look for other pairs of numbers that also have a difference of 9. One way to do this is by adding the same amount to both the original numbers. In this case, if we add 1 to both 16 and 7, we get:
17 minus 8
17 minus 8 also equals 9, so this subtraction fact has the same difference as 16 minus 7.
This works because subtraction is about the space or distance between numbers. If we move both numbers one step higher on the number line, their distance apart remains unchanged. So the difference stays the same.
This idea is useful when solving mental math problems. If you recognize a familiar difference, you can find other facts with the same result. It also helps in building a stronger understanding of number relationships.
Other examples of subtraction facts with the same difference of 9 include:
18 minus 9
19 minus 10
20 minus 11
In each case, subtracting the smaller number from the larger number gives 9. This demonstrates that many subtraction facts can share the same difference.
