Division
Missing-number division
Recover the missing value in a division equation by identifying its role and using the inverse multiplication relationship.
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Signed division
Divide signed integers exactly using custom facts or a preset divisor-and-quotient magnitude range. The dividend is derived from their product and may have more digits.
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Divide the magnitudes first. Equal operand signs give a positive quotient; different operand signs give a negative quotient. Check with signed multiplication.
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What this activity builds
Determine the magnitude and sign of an integer quotient independently, then verify the signed equation.
Worked example
What is −56 ÷ 8?
−7.
The magnitudes give 56 ÷ 8 = 7. The operand signs differ, so the quotient is negative. Check: 8 × (−7) = −56.
Teaching notes
Make the practice count
- Write a sign prediction before calculating the magnitude.
- Use the multiplication check to explain why two negative operands give a positive quotient.
- A magnitude preset applies to both the divisor and quotient and overrides the custom fact selectors.
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Related activities
Division
Single- and multi-digit division facts
Build exact division practice by selecting divisor and quotient values from 1 through 12, with dividends determined by their products.
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