Question
Venetta Knows that 1mi = 1.6 km . To convert 5 mi/h to km/h , she multiplies 5 mi/h by 1mi/1.6km . What error does Venetta make ?
Hint:
To convert any given data into a different unit, we use cross-multiplication method-
1mi = 1.6km
∴ 5mi = ? = (5 × 1.6) km.
The correct answer is: Error that Venetta has made during the conversion is that she has erroneously multiplied the distance in miles with 1/1.6 km instead of 1.6 km
Step-by-step solution:-
1mi = 1.6km …............................................... (Given)
∴ 5mi/h = (5×1.6)km/hr
∴ 5mi/h = 8km/hr
We can see from the above calculation that to convert miles to km, we need to multiply the distance in miles with 1.6km.
Venetta has mistakenly, Multiplied the distance in miles with 1/1.6km i.e. she has taken the reciprocal of the conversion ratio.
Final Answer:-
∴ Error that Venetta has made during the conversion is that she has erroneously multiplied the distance in miles with 1/1.6 km instead of 1.6 km.
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