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Debts and Fortunes: Why We Need Negative Numbers

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The World of Numbers · Zero and integers · 3:21

You'll learn: Introduce negative values, zero and positive integers on one number line.

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Debts and Fortunes: Why We Need Negative Numbers

3:21

Playing

Debts and Fortunes: Why We Need Negative Numbers

You'll learn: Introduce negative values, zero and positive integers on one number line.

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Same topic

Zero and integers

5

Zero as a Placeholder and as a Number
3:35
Zero as a Placeholder and as a Number
You'll learn: Distinguish an empty place in numeral notation from zero as a quantity used in arithmetic.
What Happens When We Calculate with Zero?
3:22
What Happens When We Calculate with Zero?
You'll learn: Explain a−a=0, a+0=a, a−0=a and a×0=0.
Add and Subtract Integers with Meaning
3:33
Add and Subtract Integers with Meaning
You'll learn: Interpret signed changes and subtraction of a negative amount.
Why Does a Negative Times a Negative Become Positive?
3:40
Why Does a Negative Times a Negative Become Positive?
You'll learn: Explain the chapter’s signed multiplication rules, then apply integer division.
Track Temperature Changes and a Trader’s Balance
3:40
Track Temperature Changes and a Trader’s Balance
You'll learn: Translate a sequence of changes into an integer calculation.

Next topic

Rational numbers and arithmetic

7

From Parts of a Whole to Rational Numbers
3:24
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
3:32
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
3:12
Check Fraction Equality with Cross Products
You'll learn: Use ad=bc to check equality when denominators are non-zero.
Add and Subtract Rational Numbers
3:36
Add and Subtract Rational Numbers
You'll learn: Find a common denominator, combine signed numerators and simplify.
Multiply and Divide Rational Numbers
3:31
Multiply and Divide Rational Numbers
You'll learn: Multiply numerators and denominators and divide by a non-zero fraction using its reciprocal.
Which Arithmetic Laws Still Work for Fractions?
3:37
Which Arithmetic Laws Still Work for Fractions?
You'll learn: Explain closure, commutativity of addition/multiplication and distributivity.
Does This Fraction Equation Have Just One Answer?
3:17
Does This Fraction Equation Have Just One Answer?
You'll learn: Simplify both sides and recognise an identity rather than a unique solution.

Next topic

Rational numbers on the number line

3

Place Positive, Negative and Improper Fractions on a Line
3:23
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
3:29
Absolute Value Measures Distance, Not Direction
You'll learn: Explain absolute value and distance between two rational points.
There Is Always Another Rational Number Between Two
3:34
There Is Always Another Rational Number Between Two
You'll learn: Use averaging to generate a number strictly between two distinct rational numbers.