Question

$1.2 \times( 10 {)}^{3 } \div 24 \times (10 {)}^{ - 4}$
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Answer 1

Question

$1.2 \times ( {10)}^{3} \div 24 \times {(10)}^{ - 4}$

Solution

$\implies \: 1.2 \times {(10)}^{3} \div 24 \times \frac{1}{(10)^{ 4} }$

[ Note : whenever we reciprocal any negative power then it becomes positive]

$\implies \: \frac{12}{10} \times{ \cancel{ 1 0} \times { \cancel{10} \times { \cancel{10 }}}}\times \frac{1}{24} \times \frac{1}{ \cancel{10} \times{ \cancel{ 10} \times{ \cancel{ 10 }}}\times 10} \:$

To remove decimal we decimal point convert it into fraction

Therefore,

$\tiny {1.2 }= \frac{1.2}{10} \: = \frac{12}{10}$

$\implies \: \frac{12}{10} \times \frac{1}{24} \times \frac{1}{10}$

$\implies \: \frac{ \cancel{12}}{10} \times \frac{1}{ \cancel{24}} \times \frac{1}{10}$

12 and 24 are the the multiple

Therefore, they got cancelled

$\implies \: \frac{1}{10} \times \frac{1}{2} \times \frac{1}{10}$

$\large \implies \: { \underline{ \underline{\frac{1}{200} }}}$

Answer 2

The correct answer to the following question will be "$\frac{1}{200}$". Further explanation is given below.

Step-by-step explanation:

Given:

 

1.2×(10)³÷24×(10)⁻⁴

On doing the reciprocal of (10)⁻⁴, we get

⇒    1.2×(10)³÷24×1/10⁴

⇒ $\frac{12}{10}$×(10)³÷24×1/10⁴

⇒ $\frac{12}{10}$×10×10×10÷24×1/10×10×10×10

⇒ 50/10×10×10×10

⇒ $\frac{1}{200}$

Learn more:

What is value of (10)⁴+(10)³...

https://brainly.in/question/11432144

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