- A
- B
- C
- D
Step-by-Step Solution
Blue covers 2 of 3 columns: ; yellow covers 4 of 5 rows: . The overlap is a rectangle — it is 8 of the 15 small cells. (Adding the fractions gives )
Answer: C)
A square tile of side 1 m is shaded blue across some columns and yellow across some rows. What is the area of the part that is shaded both blue and yellow (outlined in orange)?
Class 8Rational NumbersRational Numbers
Key idea: Closure of rationals
Rationals are **closed under addition, subtraction, and multiplication** — the result is always rational.
But **division is closed only if you exclude division by 0**: for any rationals a and b ≠ 0, a ÷ b is rational.
This is more than integers (which weren't closed under division at all) and more than fractions (which sometimes had subtraction lead outside the fractions). Rationals form the smallest 'nice' number system that supports all four basic operations (with the 0-divisor exception).
But **division is closed only if you exclude division by 0**: for any rationals a and b ≠ 0, a ÷ b is rational.
This is more than integers (which weren't closed under division at all) and more than fractions (which sometimes had subtraction lead outside the fractions). Rationals form the smallest 'nice' number system that supports all four basic operations (with the 0-divisor exception).
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