Question

which has a value greater than 600 but less than 6,000? a. 6.1 x 10^3 b. 5.9 x 10^4 c. 5.26 x 10^3 d. 7.87 x 10^3

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which has a value greater than 600 but less than 6,000

a. $\sf{ 6.1 \times {10}^{3} \: }$

b. $\sf{ 5.9 \times {10}^{4} \: }$

c. $\sf{ 5.26 \times {10}^{3} \: }$

d. $\sf{ 7.87 \times {10}^{3} \: }$

EVALUATION

CHECKING FOR OPTION (a)

The given number is $\sf{ 6.1 \times {10}^{3} \: }$

Now

$\sf{ 6.1 \times {10}^{3} \: }$

$= \sf{ 6.1 \times 1000\: }$

$= \sf{ 6100 \: }$

6100 does not lie between 600 and 6000

So this option is not correct

CHECKING FOR OPTION (b)

The given number is $\sf{ 5.9 \times {10}^{4} \: }$

Now

$\sf{ 5.9 \times {10}^{4} \: }$

$= \sf{ 5.9 \times 10000 \: }$

$\sf{ = 59000\: }$

59000 does not lie between 600 and 6000

So this option is not correct

CHECKING FOR OPTION (c)

The given number is $\sf{ 5.26 \times {10}^{3} \: }$

Now

$\sf{ 5.26 \times {10}^{3} \: }$

$= \sf{ 5.26 \times 1000 \: }$

$= \sf{ 5260 \: }$

5260 lies between 600 and 6000

So this option is CORRECT

CHECKING FOR OPTION (d)

The given number is $\sf{ 7.87 \times {10}^{3} \: }$

Now

$\sf{ 7.87 \times {10}^{3} \: }$

$= \sf{ 7.87 \times 1000\: }$

$= \sf{7870 \: }$

7870 does not lie between 600 and 6000

So this option is not correct

FINAL ANSWER

The value greater than 600 but less than 6000 is

$\sf{ (c) \: \: \: \: \: \: 5.26 \times {10}^{3} \: }$

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