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Kaya started with the number 92. After multiplying by a power of 10, her number increased to 920,000. What power of 10 did Kaya multiply her original number by to get an answer of 920,000? Explain the reason for this solution

Respuesta :

musiclover10045

The new number has 4 zeros so the power was 4

Answer: 4

temidun103

Answer:

4

Step-by-step explanation:

kaya started with 92

then multiplied it by

[tex]10 ^{x} [/tex]

[tex]92 \times {10}^{x} [/tex]

[tex]92 \times {10}^{x} = 920000[/tex]

divide both sides by the coefficient of

[tex] {10}^{x} [/tex]

[tex] {10}^{x} = \frac{920000}{92} [/tex]

[tex] {10}^{x} = 10000[/tex]

[tex] {10}^{x} = {10}^{4} [/tex]

since they both have the same numbers we can cancel the two 10

therefore:

x = 4

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