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¿Qué número corresponde a cada descomposición?

a) [tex]6 \, U \, M \, M + 8 \, C \, M + 4 \, U \, M + 5 \, C + 7 \, D[/tex]

b) [tex]2 \, U \, M \, M + 2 \, D \, M + 9 \, U \, M + 4 \, D[/tex]

c) [tex]4000000 + 60000 + 7000 + 80 + 5[/tex]

d) [tex]7000000 + 600000 + 10000 + 2000 + 500[/tex]

Determine the corresponding number for each decomposition.

Answer :

Sure! Let's break down each part of the question, which requires converting a given deconstructed form into a standard numerical form. Here’s how each part is calculated:

### a) [tex]\(6 \, UMM + 8 \, CM + 4 \, UM + 5 \, C + 7 \, D\)[/tex]
- [tex]\(6 \, UMM\)[/tex] translates to [tex]\(6,000,000\)[/tex] (6 million).
- [tex]\(8 \, CM\)[/tex] translates to [tex]\(80,000\)[/tex] (8 ten-thousands).
- [tex]\(4 \, UM\)[/tex] translates to [tex]\(4,000\)[/tex] (4 thousand).
- [tex]\(5 \, C\)[/tex] translates to [tex]\(500\)[/tex] (5 hundreds).
- [tex]\(7 \, D\)[/tex] translates to [tex]\(70\)[/tex] (7 tens).

Adding these parts together:
[tex]\[6,000,000 + 80,000 + 4,000 + 500 + 70 = 6,084,570\][/tex]

### b) [tex]\(2 \, UMM + 2 \, DM + 9 \, UM + 4 \, D\)[/tex]
- [tex]\(2 \, UMM\)[/tex] translates to [tex]\(2,000,000\)[/tex] (2 million).
- [tex]\(2 \, DM\)[/tex] translates to [tex]\(20,000\)[/tex] (2 ten-thousands).
- [tex]\(9 \, UM\)[/tex] translates to [tex]\(9,000\)[/tex] (9 thousand).
- [tex]\(4 \, D\)[/tex] translates to [tex]\(40\)[/tex] (4 tens).

Adding these parts together:
[tex]\[2,000,000 + 20,000 + 9,000 + 40 = 2,029,040\][/tex]

### c) [tex]\(4000000 + 60000 + 7000 + 80 + 5\)[/tex]
- This is already in a decomposed form where:
- [tex]\(4,000,000\)[/tex] represents 4 million.
- [tex]\(60,000\)[/tex] represents 60 thousand.
- [tex]\(7,000\)[/tex] represents 7 thousand.
- [tex]\(80\)[/tex] represents 8 tens.
- [tex]\(5\)[/tex] represents 5 ones.

Adding these parts together:
[tex]\[4,000,000 + 60,000 + 7,000 + 80 + 5 = 4,067,085\][/tex]

### d) [tex]\(7000000 + 600000 + 10000 + 2000 + 500\)[/tex]
- Similarly, this is given in decomposed form:
- [tex]\(7,000,000\)[/tex] represents 7 million.
- [tex]\(600,000\)[/tex] represents 600 thousand.
- [tex]\(10,000\)[/tex] represents 10 thousand.
- [tex]\(2,000\)[/tex] represents 2 thousand.
- [tex]\(500\)[/tex] represents 5 hundred.

Adding these parts together:
[tex]\[7,000,000 + 600,000 + 10,000 + 2,000 + 500 = 7,612,500\][/tex]

These are the numerical values for each decomposition:
- Part a) is [tex]\(6,084,570\)[/tex]
- Part b) is [tex]\(2,029,040\)[/tex]
- Part c) is [tex]\(4,067,085\)[/tex]
- Part d) is [tex]\(7,612,500\)[/tex]

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