Discover patterns in numbers by counting by 5s, 10s, and 100s to reach big numbers quickly.
Imagine you have a giant jar filled with 100 shiny nickels. If you count them one by one, it might take all day! What if you could use a 'math shortcut' to finish in just a few minutes?
When we count by 5s, we are adding every time we say a new number. It is like giving a high-five to every fifth number on the number line! A great way to see this is by looking at the last digit. When you start at , the numbers will always end in either a or a . This pattern repeats forever: and so on. This is very helpful when counting nickels or tally marks!
Let's count 4 nickels. Each nickel is worth cents. 1. Start with the first nickel: 2. Add more: 3. Add more: 4. Add the last nickel: You have cents total!
Quick Check
If you are counting by s and you just said the number , what is the next number?
Answer
Counting by 10s is even faster! When we count by s starting from a number like , the digit in the tens place goes up by each time, while the ones place stays the same. For example: . But did you know you can start from any number? If you start at and count by s, you just change the tens: . The '2' at the end stays exactly where it is!
Start at the number and count up three times by s. 1. Start at . 2. Jump : 3. Jump : 4. Jump :
Quick Check
What are the next two numbers in this pattern:
Answer
and
To reach really big numbers like 1,000, we use our biggest jump: the 100s. This is just like counting , but you add two zeros at the end! When you count by s, the digit in the hundreds place changes. This is the fastest way to count large groups of items, like pages in a thick book or stars in a cartoon sky. The pattern looks like this: !
If you have building blocks and your friend gives you more boxes of , how many do you have? 1. Start at . 2. Add one box: 3. Add the second box: 4. Add the third box: You reached the big !
Which number is missing in this pattern: ?
If you start at and count by s, what is the next number?
If you start at and count by s, the next number is .
Review Tomorrow
Tomorrow morning, try to count by s while you are brushing your teeth. Can you get all the way to ?
Practice Activity
Find a handful of coins. Practice counting all the nickels by s and all the dimes by s to see how much money you have!