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Vamos a completar la tabla multiplicando cada número decimal por las potencias de 10 indicadas (10, 100, 1000 y 10000). Comenzamos con los decimales dados:
- 82.14
- 50.321
- 7.641
- -2.23987
Para cada una de estas cantidades, haremos las multiplicaciones adecuadas.
### Multiplicaciones por las potencias de 10
1. 82.14:
- [tex]\( 82.14 \times 10 = 821.4 \)[/tex]
- [tex]\( 82.14 \times 100 = 8214.0 \)[/tex]
- [tex]\( 82.14 \times 1000 = 82140.0 \)[/tex]
- [tex]\( 82.14 \times 10000 = 821400.0 \)[/tex]
2. 50.321:
- [tex]\( 50.321 \times 10 = 503.21 \)[/tex]
- [tex]\( 50.321 \times 100 = 5032.1 \)[/tex]
- [tex]\( 50.321 \times 1000 = 50321.0 \)[/tex]
- [tex]\( 50.321 \times 10000 = 503210.0 \)[/tex]
3. 7.641:
- [tex]\( 7.641 \times 10 = 76.41 \)[/tex]
- [tex]\( 7.641 \times 100 = 764.1 \)[/tex]
- [tex]\( 7.641 \times 1000 = 7641.0 \)[/tex]
- [tex]\( 7.641 \times 10000 = 76410.0 \)[/tex]
4. -2.23987:
- [tex]\( -2.23987 \times 10 = -22.3987 \)[/tex]
- [tex]\( -2.23987 \times 100 = -223.98699999999997 \)[/tex]
- [tex]\( -2.23987 \times 1000 = -2239.87 \)[/tex]
- [tex]\( -2.23987 \times 10000 = -22398.699999999997 \)[/tex]
### Tabla completada
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Decimal } (a) & a \times 10 & a \times 100 & a \times 1000 & a \times 10000 \\ \hline 82.14 & 821.4 & 8214.0 & 82140.0 & 821400.0 \\ \hline 50.321 & 503.21 & 5032.1 & 50321.0 & 503210.0 \\ \hline 7.641 & 76.41 & 764.1 & 7641.0 & 76410.0 \\ \hline -2.23987 & -22.3987 & -223.98699999999997 & -2239.87 & -22398.699999999997 \\ \hline \end{array} \][/tex]
Así, la tabla queda completa, mostrando los resultados de multiplicar cada número decimal por las potencias de 10 indicadas.
- 82.14
- 50.321
- 7.641
- -2.23987
Para cada una de estas cantidades, haremos las multiplicaciones adecuadas.
### Multiplicaciones por las potencias de 10
1. 82.14:
- [tex]\( 82.14 \times 10 = 821.4 \)[/tex]
- [tex]\( 82.14 \times 100 = 8214.0 \)[/tex]
- [tex]\( 82.14 \times 1000 = 82140.0 \)[/tex]
- [tex]\( 82.14 \times 10000 = 821400.0 \)[/tex]
2. 50.321:
- [tex]\( 50.321 \times 10 = 503.21 \)[/tex]
- [tex]\( 50.321 \times 100 = 5032.1 \)[/tex]
- [tex]\( 50.321 \times 1000 = 50321.0 \)[/tex]
- [tex]\( 50.321 \times 10000 = 503210.0 \)[/tex]
3. 7.641:
- [tex]\( 7.641 \times 10 = 76.41 \)[/tex]
- [tex]\( 7.641 \times 100 = 764.1 \)[/tex]
- [tex]\( 7.641 \times 1000 = 7641.0 \)[/tex]
- [tex]\( 7.641 \times 10000 = 76410.0 \)[/tex]
4. -2.23987:
- [tex]\( -2.23987 \times 10 = -22.3987 \)[/tex]
- [tex]\( -2.23987 \times 100 = -223.98699999999997 \)[/tex]
- [tex]\( -2.23987 \times 1000 = -2239.87 \)[/tex]
- [tex]\( -2.23987 \times 10000 = -22398.699999999997 \)[/tex]
### Tabla completada
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Decimal } (a) & a \times 10 & a \times 100 & a \times 1000 & a \times 10000 \\ \hline 82.14 & 821.4 & 8214.0 & 82140.0 & 821400.0 \\ \hline 50.321 & 503.21 & 5032.1 & 50321.0 & 503210.0 \\ \hline 7.641 & 76.41 & 764.1 & 7641.0 & 76410.0 \\ \hline -2.23987 & -22.3987 & -223.98699999999997 & -2239.87 & -22398.699999999997 \\ \hline \end{array} \][/tex]
Así, la tabla queda completa, mostrando los resultados de multiplicar cada número decimal por las potencias de 10 indicadas.
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