Pregunta
(a) \( 3,07 \times 100=? \) (b) \( 5,182 \times 1000=? \) (c) \( 4,96 \times 10=? \) (d) \( 1,003 \times 100=? \)
Ask by Donnelly Kelly. in South Africa
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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**(a)**
\( 3,07 \times 100 = 307 \)
**(b)**
\( 5,182 \times 1000 = 5182 \)
**(c)**
\( 4,96 \times 10 = 49.6 \)
**(d)**
\( 1,003 \times 100 = 100.3 \)
Solución
**(a)**
To multiply \( 3,07 \) by \( 100 \), we move the decimal point two places to the right because \( 100=10^2 \).
\[
3,07 \times 100 = 307
\]
**(b)**
To multiply \( 5,182 \) by \( 1000 \), we move the decimal point three places to the right since \( 1000=10^3 \).
\[
5,182 \times 1000 = 5182
\]
**(c)**
For \( 4,96 \times 10 \), move the decimal point one place to the right as \( 10=10^1 \).
\[
4,96 \times 10 = 49,6
\]
**(d)**
For \( 1,003 \times 100 \), move the decimal point two places to the right because \( 100=10^2 \).
\[
1,003 \times 100 = 100,3
\]
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Simplifique esta solución Bonus Knowledge
When multiplying a number by 100, you're essentially shifting the decimal point two places to the right. So, for \(3,07 \times 100\), you simply move the decimal from after the 3 to after the 7, resulting in \(307\)! Now, for \(5,182 \times 1000\), it's a similar trick but with three places. Move the decimal three spots to the right from \(5,182\) to get \(5,182,000\). Isn't it fun how just a little movement can change numbers so drastically?
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