Resuelve.
El Parque Nacional Machalilla cuenta con dos zonas, una terrestre y una marina, las cuales están medidas en hectáreas (ha). La extensión terrestre está representada por el número: [tex]$4 U+1 C+6 U m+5 D M+8 D$[/tex]. La marina, por el número: [tex]$3 D +4 U m+1 Dm +4 C$[/tex]. Compón los números e indica ¿Cuál de las áreas es mayor?
Extensión terrestre: 56184 ha
Extensión marina 14430 ha
Answer (3)
La extensión terrestre del Parque Nacional Machalilla es de 56184 ha y la marina es de 14430 ha. Comparando estas áreas, la terrestre es mayor. Por lo tanto, la extensión terrestre es mayor que la marina.
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Decompose the terrestrial extension: 4 U + 1 C + 6 U m + 5 D M + 8 D = 56184 .
Decompose the marine extension: 3 D + 4 U m + 1 D m + 4 C = 14430 .
Compare the two areas: 56184 ha > 14430 ha.
The terrestrial area is larger. T erres t r ia l
Explanation
Understanding the Problem We are given the areas of two zones in the Parque Nacional Machalilla: a terrestrial zone and a marine zone. The terrestrial area is represented by 4 U + 1 C + 6 U m + 5 D M + 8 D and the marine area by 3 D + 4 U m + 1 D m + 4 C , where U represents units, C represents hundreds, Um represents thousands, DM represents ten thousands, and D represents tens. We are also given that the terrestrial extension is 56184 ha and the marine extension is 14430 ha. Our objective is to verify the given extensions by decomposing the numbers based on place values and then determine which area is larger.
Decomposing Terrestrial Extension Let's decompose the terrestrial extension number: 4 U + 1 C + 6 U m + 5 D M + 8 D = ( 4 × 1 ) + ( 1 × 100 ) + ( 6 × 1000 ) + ( 5 × 10000 ) + ( 8 × 10 ) . Calculating this gives us: 4 + 100 + 6000 + 50000 + 80 = 56184 ha. This matches the given terrestrial extension.
Decomposing Marine Extension Now, let's decompose the marine extension number: 3 D + 4 U m + 1 D m + 4 C = ( 3 × 10 ) + ( 4 × 1000 ) + ( 1 × 10000 ) + ( 4 × 100 ) . Calculating this gives us: 30 + 4000 + 10000 + 400 = 14430 ha. This matches the given marine extension.
Comparing the Areas We are given that the terrestrial area is 56184 ha and the marine area is 14430 ha. To determine which area is larger, we compare the two numbers. Since 56184 is greater than 14430, the terrestrial area is larger than the marine area.
Final Answer Therefore, the terrestrial area is larger than the marine area.
Examples
Understanding place values and composing numbers is crucial in many real-life scenarios. For example, when dealing with large sums of money, understanding place values helps in accurately representing and interpreting financial data. Similarly, in scientific measurements, understanding place values ensures accurate recording and analysis of data. This skill is also essential in everyday tasks like budgeting, shopping, and managing personal finances, where accurate calculations are necessary.
Terrestrial area = 56,184 ha
Marine area = 14,430 ha
The terrestrial area is greater than the marine area. ;
