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The table shows the Bajra (crop) production of a state in the years 2008 and 2009. Observe, the table given below and answer the given questions. Write the production of the Bajra in 2009 in their standard form.

Crop
2008 Harvest
( Hectare)
Increase/ decrease
( Hectare ) in 2009
Bajra
$1.4 \times 1 0^{3}$
−100

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1.3 \times 10^{3}

1.3 \times 10^{2}

1.3 \times 10^{5}

1.3 \times 10^{4}

answer is A.

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Detailed Solution

Given the bajra production of a state in the years 2008 and 2009,

Crop	2008 Harvest ( Hectare)	Increase/ decrease ( Hectare ) in 2009
Bajra	$1.4 \times 1 0^{3}$	−100

We need to find the production of bajra in 2009 in their standard form.
Subtracting the decrease in 2009 from 2008,
=

1.4 \times 10^{3} - 100

Rewrite 100 as the product of 0.1 and 1000.
Write 1000 as 10³ and simplify.

= 1.4 \times 10^{3} - 0.1 \times 100

= 1.4 \times 10^{3} - 0.1 \times 10^{3}

= 10^{3} \times (1.4 - 0.1)

= 1.3 \times 10^{3}

Thus, the bajra production in 2009 in standard form is

1.3 \times 10^{3}

.
Hence, the correct option is 1.

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