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Calculate the difference in the denominator.

May 15, 2026Mathematics

ScanSolve AI Answer

Answer

62500

4 steps

To work out the exact value of $T$ , we first calculate the denominator.

Calculate the difference in the denominator.
$0.003146 - 0.003130 = 0.000016$
Substitute this value back into the expression for $T$ .
$T = \frac{1}{0.000016}$
Convert the decimal in the denominator to a fraction or an integer by multiplying the numerator and denominator by 1,000,000.
$T = \frac{1}{0.000016} = \frac{1 \times 1,000,000}{0.000016 \times 1,000,000} = \frac{1,000,000}{16}$
Perform the division.
$\frac{1,000,000}{16} = 62500$
The exact value of $T$ is $\boxed{62500}$ .