Question

24.315 x 256.2 x 0.0019 is the same as
(a) 243.15x2.562x0.019
(b) 24.315x25.62x0.00019
(c) 2.4315x2.562x0.019
(d) 0.24315x25.62x0.019
​

Answer 1

$\bf 24.315 \times 256.2 \times 0.0019 = 243.15 \times 2.562 \times 0.019$

Option 'a' is correct answer.

Given:

• $24.315 \times 256.2 \times 0.0019$

To find:

• The given expression is same as
• (a) 243.15x2.562x0.019
• (b) 24.315x25.62x0.00019
• (c) 2.4315x2.562x0.019
• (d) 0.24315x25.62x0.019

Solution:

Step 1:

Simplify the expression.

Let us remove the decimal points from the expression.

$24.315 \times 256.2 \times 0.0019 = \frac{24315 \times 2562 \times 19}{1000 \times 10 \times 10000}$

$24.315 \times 256.2 \times 0.0019 = \frac{24315 \times 2562 \times 19}{ {10}^{8} }$

$\bf 24.315 \times 256.2 \times 0.0019 = 24315 \times 2562 \times 19\times {10}^{-8}$

Step 2:

Check for option 'a'.

Simplify option 'a' like the given expression.

$243.15 \times 2.562 \times 0.019 = \frac{24315 \times 2562 \times 19}{100 \times 1000 \times 1000}$

$243.15 \times 2.562 \times 0.019 = 24315 \times 2562 \times 19 \times {10}^{ - 8}$

or

$\bf 243.15 \times 2.562 \times 0.019 = 24315 \times 2562 \times 19 \times {10}^{ - 8}$

Thus,

Given expression is same as Option 'a'.

Step 3:

Check for option 'b'.

Simplify the option 'b' like option 'a'.

$24.315 \times 25.62 \times 0.00019 = \frac{24315 \times 2562 \times 19}{1000 \times 100 \times 100000}$

$24.315 \times 25.62 \times 0.00019 = \frac{24315 \times 2562 \times 19}{ {10}^{10}}$

$\bf \red{24.315 \times 25.62 \times 0.00019 = 24315 \times 2562 \times 19 \times {10}^{ - 10} }$

Thus,

Option 'b' does not match the given expression.

Step 4:

Check for option 'c'.

Simplify the option 'c' like option 'a'.

$2.4315 \times 2.562 \times 0.019 = \frac{24315 \times 2562 \times 19}{10000 \times 1000 \times 1000}$

$2.4315 \times 2.562 \times 0.019 = \frac{24315 \times 2562 \times 19}{ {10}^{10}}$

$\bf \red{2.4315 \times 2.562 \times 0.019 = 24315 \times 2562 \times 19 \times {10}^{ - 10} }$

Thus,

Option 'c' does not match the given expression.

Step 5:

Check for option 'd'.

Simplify the option 'd' like option 'a'.

$0.24315\times 25.62\times 0.019 = \frac{24315 \times 2562 \times 19}{100000 \times 100 \times 1000}$

$0.24315\times 25.62\times 0.019 = \frac{24315 \times 2562 \times 19}{ {10}^{10}}$

$\bf \red{0.24315\times 25.62\times 0.019 = 24315 \times 2562 \times 19 \times {10}^{ - 10} }$

Thus,

Option 'd' does not match the given expression.

Final answer:

Option 'a' is correct answer.

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