Counting backwards

Topic Notes

In this lesson, we will learn:

  • How do we count backwards using: the numbers 9 to 0, number lines (and negative numbers), and big numbers (up to millions)?
  • Counting Backwards can help us write subtraction statements.

Notes:

  • We use numbers to represent how many things there are.
    • You can do the exact opposite of normal counting by counting BACKWARDS:
    • 10, 9, 8, 7, 6, 5, 4, 3, 2, 1…

  • Counting backwards means the counting numbers are getting SMALLER
    • If you look at a number line, counting forwards means going from right to left

Counting: Counting Backwards

  • Negative numbers also count backward by going from right to left on a number line
    • Don’t get confused! The negative numbers (digits) are going forwards, but they have a negative sign!
    • The bigger your negative, the smaller your value (more negative = smaller)
    • Ex. counting backwards in negatives: -1, -2, -3, -4, -5, …

  • Recall: number PLACE VALUES!

Counting: Counting Backwards

    • The smaller place values are on the right, the bigger place values are on the left
    • When the digit decreases (from 9 to 0): after you hit 0, next you will decrease 1 FROM the place value on the left. Your digit will then start again from 9 (and count down to 0, repeating the process)

  • You can also use your fingers to count backward and find out how many numbers you have decreased (counted down) by.
    • Put down all your fingers (zero fingers up) when you start on your first number.
    • Each number you count down, raise one more finger.
    • When you reach your last number, you can count your raised fingers
    • Ex. counting from 32 down to 27: you count down by five

Counting: Counting Backwards

  • This can allow you to make subtraction statements!
    • [starting #] – [how much you counted down] = [last #]
    • Ex. counting from 32 down to 27, the subtraction statement is: 32 – 5 = 27