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Subtraction Parity Patterns
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Subtraction Parity Patterns
Use odd and even patterns to predict subtraction results. Then calculate to check your predictions.
Spot the pattern
1.An even number has an even number subtracted from it. What parity must the difference have?
- Even
- Odd
- It depends on the numbers
2.Without working out the exact difference first, predict whether 23 − 8 is odd or even.
- Odd
- Even
- It depends on the numbers
3.A whole number that is at least as large as another odd whole number has that odd number subtracted. What parity is the difference?
- Always odd
- Always even
- It depends on the numbers
4.Choose every statement that is true about subtracting an even whole number from a whole number.
- An odd starting number gives an odd difference.
- An even starting number gives an even difference.
- The difference always changes to the opposite parity.
- The difference has the same parity as the starting number.
Calculate and explain
5.Work out 64 − 28. Give the difference and state whether it is odd or even.
6.Work out 75 − 19. Give the difference and state its parity.
7.Explain how you can predict the parity of a difference when an even whole number is subtracted from an odd whole number.
8.Begin at 21 and subtract 2 four times. Write each new total in order and label each total odd or even.
9.A bush track is 46 km long. A walker heads back towards the start, first covering 5 km and then another 8 km. After each part, write the subtraction, the distance still to walk, and whether that distance is odd or even.
10.A whole number is reduced by 14. If the starting number is odd, what parity is the result? Explain briefly.
Match each subtraction pattern
11.Match each subtraction of whole numbers (where the first number is at least as large as the second) to the parity of its difference.
- Even − odd
- Odd − odd
- Even − even
- Odd − even
- Even difference
- Odd difference
- Odd difference
- Even difference
12.Find a subtraction of two odd whole numbers that gives a difference of 18. Write the subtraction and identify the parity of the difference.
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