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Subtraction Strategies Using Numberlines
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Subtraction Strategies Using Numberlines
A community festival is keeping track of tickets, supplies and funds. Use number-line jumps to work out what remains or how much more is needed. Show your jumps and explain at least one strategy.
Choose your jumps
You can subtract in parts, jump to a friendly number, or count up from the smaller number.
1.The festival has 64 entry tickets left. Use the number line to solve 64 − 28. Mark a useful jump or jumps, then write the answer.
2.A stall starts with 53 paper cups and uses 19. Use a number-line strategy to find how many cups remain. Record your jumps.
3.The face-painting stall made $82 and spent $35 on supplies. How much money is left? Show a jump strategy on the number line.
Think flexibly
Sometimes a small adjustment makes subtraction easier. Check whether your answer makes sense.
4.A volunteer solves 91 − 48 by counting up from 48 to 91. Complete the jumps: 48 to 50 is __; 50 to 90 is __; 90 to 91 is __. What is the difference?
5.For 76 − 29, Jamie subtracts 30 and then adds 1 back. Which answer is correct?
- 46
- 47
- 48
- 49
6.The festival needs 125 badges. There are 78 ready so far. How many more badges must be made? Use counting-up jumps and show your working.
7.A game booth has 104 prizes. It gives away 67. Choose a helpful strategy and find the number of prizes left. Explain why your jumps work.
8.Spot the mistake: Riley says 70 − 36 = 44 because they jump back 30 to 40, then back 6 to 44. What did Riley do wrong, and what is the correct answer?
9.The festival collected $150. It spent $68 on equipment and then $27 on fruit. How much money remains? Solve in two steps and show a number-line strategy for at least one subtraction.
10.Which subtraction is best solved by counting up from the smaller number? Tick one and explain your choice: 83 − 79, 83 − 42, or 83 − 17.
11.Write your own festival subtraction story with a difference of 25. Include the subtraction equation and sketch or describe useful number-line jumps.
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