VaaraVaara Classroom

Videos Practice Progress

Loading video…

Loading…

Loading video…

How Many Complete Kurtas Can the Tailor Make?

Ask Vaara

Your maths helper for this video

Loading…

The World of Numbers · Rational-number applications · 3:31

You'll learn: Divide mixed-number measurements and interpret a whole-object result.

Up next

15 videos

Now playing

How Many Complete Kurtas Can the Tailor Make?

3:31

Playing

How Many Complete Kurtas Can the Tailor Make?

You'll learn: Divide mixed-number measurements and interpret a whole-object result.

Now playing

Same topic

Rational-number applications

1

Solve a Rational-Number Equation and Reason About Its Sign
3:18
Solve a Rational-Number Equation and Reason About Its Sign
You'll learn: Solve a fractional-coefficient equation and infer a product’s sign from a relation.

Next topic

Irrational lengths and proofs

7

A Unit Square Reveals a New Kind of Number
3:25
A Unit Square Reveals a New Kind of Number
You'll learn: Use the diagonal of a unit square to motivate √2 and irrational numbers.
Why √2 Cannot Be a Fraction
3:25
Why √2 Cannot Be a Fraction
You'll learn: Follow the contradiction proof from a lowest-terms fraction to both numerator and denominator being even.
Extend the Irrationality Proof to Other Square Roots
4:00
Extend the Irrationality Proof to Other Square Roots
You'll learn: Adapt the contradiction method and identify the divisibility step needed.
Construct √2 and Transfer It to the Number Line
3:24
Construct √2 and Transfer It to the Number Line
You'll learn: Build a right triangle and use a compass arc to locate the exact irrational length.
Build More Square Roots with a Square Root Spiral
3:51
Build More Square Roots with a Square Root Spiral
You'll learn: Extend successive unit-perpendicular triangles and identify hypotenuse lengths.
Pi: An Exact Number with Fractional Approximations
3:27
Pi: An Exact Number with Fractional Approximations
You'll learn: Define π as circumference divided by diameter and distinguish exact π from a rational approximation.
How Can Adding More Terms Approach Pi?
3:32
How Can Adding More Terms Approach Pi?
You'll learn: Explore the chapter’s alternating infinite-series example through finite partial sums.

Next topic

Real numbers and decimal expansions

7

Rational and Irrational Numbers Share One Real Number Line
3:44
Rational and Irrational Numbers Share One Real Number Line
You'll learn: Connect natural numbers, integers, rationals, irrationals and reals in a nested classification.
Why Rational Decimals Either Stop or Repeat
3:30
Why Rational Decimals Either Stop or Repeat
You'll learn: Distinguish terminating decimals from repeating ones and use long division.
Repeated Remainders Make Repeated Digits
3:39
Repeated Remainders Make Repeated Digits
You'll learn: Explain why a long-division process eventually terminates or cycles.
Predict a Terminating Decimal Without Dividing
3:41
Predict a Terminating Decimal Without Dividing
You'll learn: Reduce a fraction first, then inspect prime factors of its denominator.
How Many Decimal Places Will a Fraction Need?
3:39
How Many Decimal Places Will a Fraction Need?
You'll learn: Balance powers of 2 and 5 to turn a reduced denominator into a power of ten.
Turn a Terminating Decimal into a Fraction
3:42
Turn a Terminating Decimal into a Fraction
You'll learn: Use place value to write a power-of-ten denominator and reduce.
Turn a Pure Repeating Decimal into a Fraction
3:32
Turn a Pure Repeating Decimal into a Fraction
You'll learn: Multiply by a power of ten matching the cycle length, subtract and solve.