In track meets both 100 yards and 100 metres are used as distances. By how many metres is 100 metres longer than 100 yards?

### Concept & Imperial to Metric Conversion To solve this, you need to know the standard conversion rate between yards and meters. One yard is defined internationally as exactly $0.9144$ meters. $$ 1 \text{ yard} = 0.9144 \text{ metres} $$ ### Step-by-Step Solution * **Find the metric equivalent of 100 yards:** * $100 \text{ yards} = 100 \times 0.9144 \text{ metres}$ * $= 91.44 \text{ metres}$ * **Calculate the difference:** * Difference $= 100 \text{ metres} - 91.44 \text{ metres}$ * $= 8.56 \text{ metres}$ ### Exam Strategy & Shortcut If you don't remember the exact $0.9144$ conversion, remember the rough approximation that a yard is about $90\%$ of a meter (or $1$ meter is about $1.1$ yards). $100$ meters minus roughly $91$ meters leaves around $9$ meters. Option (d) $8.56$ m is the only answer in that logical ballpark. ### Common Pitfall Guessing that a yard and a meter are practically identical and choosing $1$ m, or misplacing the decimal point during subtraction (choosing $0.856$ m). ### Final Answer Therefore, the correct answer is **8.56 m**.