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What Happens When We Calculate with Zero?

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The World of Numbers · Zero and integers · 3:22

You'll learn: Explain a−a=0, a+0=a, a−0=a and a×0=0.

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What Happens When We Calculate with Zero?

3:22

Playing

What Happens When We Calculate with Zero?

You'll learn: Explain a−a=0, a+0=a, a−0=a and a×0=0.

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Zero and integers

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Zero as a Placeholder and as a Number
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Zero as a Placeholder and as a Number
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Debts and Fortunes: Why We Need Negative Numbers
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Debts and Fortunes: Why We Need Negative Numbers
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Add and Subtract Integers with Meaning
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Why Does a Negative Times a Negative Become Positive?
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Track Temperature Changes and a Trader’s Balance
You'll learn: Translate a sequence of changes into an integer calculation.

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Rational numbers and arithmetic

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From Parts of a Whole to Rational Numbers
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From Parts of a Whole to Rational Numbers
You'll learn: Define p/q with integer numerator and non-zero integer denominator. Include negative fractions and integers.
Different Fractions Can Name the Same Number
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Different Fractions Can Name the Same Number
You'll learn: Generate equivalent signed fractions and reduce to lowest terms.
Check Fraction Equality with Cross Products
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Check Fraction Equality with Cross Products
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Add and Subtract Rational Numbers
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You'll learn: Find a common denominator, combine signed numerators and simplify.
Multiply and Divide Rational Numbers
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Multiply and Divide Rational Numbers
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Which Arithmetic Laws Still Work for Fractions?
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Which Arithmetic Laws Still Work for Fractions?
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Does This Fraction Equation Have Just One Answer?
You'll learn: Simplify both sides and recognise an identity rather than a unique solution.

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Rational numbers on the number line

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Place Positive, Negative and Improper Fractions on a Line
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Place Positive, Negative and Improper Fractions on a Line
You'll learn: Divide unit intervals equally and locate fractions on either side of zero.
Absolute Value Measures Distance, Not Direction
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Absolute Value Measures Distance, Not Direction
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There Is Always Another Rational Number Between Two
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There Is Always Another Rational Number Between Two
You'll learn: Use averaging to generate a number strictly between two distinct rational numbers.