How to Use a Number Line
Need some help solving basic math? A number line might help.
[edit] Steps
[edit] Addition
- Locate the first number of your addition problem on your number line and put your finger there.
- Move your finger to the right (or left if you're adding a negative number). #Count how many positions you've traveled as you move your finger. For example: if you start at 3, when you reach 4, you've traveled 1 position; when you reach 5, you've traveled 2 positions, etc.
- Stop moving your finger when the number of positions you've traveled is the same as the other number in your addition problem. Where you have stopped is the answer to your addition problem.
[edit] Subtraction
- Locate the first number of your subtraction problem on your number line and put your finger there.
- Move your finger to the left (or right if you're subtracting a negative number).
- Count how many positions you've traveled as you move your finger. For example: if you start at 7, when you reach 6, you've traveled 1 position; when you reach 5, you've traveled 2 positions, etc.
- Stop moving your finger when the number of positions you've traveled is the same as the other number in your subtraction problem. Where you have stopped is the answer to your subtraction problem.
[edit] Multiplication
- Locate the first number of your multiplication problem on your number line and put your finger there.
- Move your finger to the right (or left if it or the number being multiplied with it is negative. If you are multiplying two negatives, you still go right).
- Count how many positions you've traveled as you move your finger. For example: if you start at 5, when you reach 6, you've traveled 1 position; when you reach 7, you've traveled 2 positions, etc.
- Start the count over whenever you reach the first number of your multiplication problem. For example, if the first number of your multiplication problem is 3, wait until you reach 3 and start your count over. Keep track of how many times you've had to start your count over.
- Stop moving your finger once the number of times you've had to start over matches the second number of the multiplication problem minus one. For example, if you were multiplying something by 7, you would stop once you started over 6 times.
[edit] Division
- Locate where the second number of your division problem on your number line and put your finger there.
- Move your finger to the right (or left if it or the number being divided with it is negative. If you are dividing two negative numbers, you still go right).
- Count how many positions you've traveled as you move your finger. For example: if you start at 6, when you reach 7, you've traveled 1 position; when you reach 8, you've traveled 2 positions, etc.
- Start the count over again whenever you reach the second number in the division problem. For example, if the second number of your division problem is 7, start over once you reach 7. Keep track of how many times you've had to start your count over.
- Stop moving your finger once you get to the first number of your division problem. The number of times you've had to start your count over in step 4 will be the answer to your division problem.
[edit] Tips
- If you have a number line with decimals, only count positions as whole numbers.
- The division method will only get you an exact answer if you would of started over once you got to the first number of the problem. If you wouldn't of started over, you'll only get an approximation.
[edit] Warnings
- You should only use this for small numbers. Using this for large numbers will increase the time you have to spend and chance of error.