How Far Can You Go?
Multiples and Powers of 10
1. Printable Worksheet: “How Far Can You Go?” Open Task
Name: ________________________ Date: ________________
Part A: The Challenge – Fewest Moves
Your mission: Reach 10,000 in as few steps as possible using multiples of powers of 10 (10, 100, 1000).
My moves: Step 1: ____________ Step 2: ____________ Step 3: ____________ Step 4: ____________ Step 5: ____________ Total steps: ____________
Draw or show your strategy below: [ Use number lines, arrows, or boxes ]
Explain your strategy: __________________________________________________________________________________________________________________________________________________
Part B: The Challenge – Most Moves
Now try reaching 10,000 using as many steps as possible, still only using multiples of 10, 100 or 1000.
My moves: Step 1: ____________ Step 2: ____________ Step 3: ____________ Step 4: ____________ Step 5: ____________ Step 6: ____________ Step 7: ____________ Step 8: ____________ Total steps: ____________
Draw or show your strategy below:
Explain your strategy: __________________________________________________________________________________________________________________________________________________
Reflection:
Which method was more efficient and why? _________________________________________________________________________What did you notice about multiples and powers of 10? _________________________________________________________________________
ENABLING Anchor Chart: Powers of 10
Title: “What Are Powers of 10?”
Definition: Powers of 10 are the result of multiplying 10 by itself.
Key Ideas: – Each time you multiply by 10, you add one zero. – Useful for working with large numbers and place value. – You can multiply known values to estimate or build bigger numbers quickly.
4. Extension Task Cards:
Card 1: Your new target is 1 million! You can only use powers of 10 (10, 100, 1000, etc). How will you get there? What’s the fewest number of moves you can make?
Card 2: Create a path to 10,000 where you use each power of 10 only once. Show your thinking.
Card 3: You must use exactly 3 tens, 2 hundreds, and 1 thousand. What number do you get? Can you make it different?
Card 4: Make a maths poster explaining powers of 10 using numbers, words, and drawings.