Decimal Fraction - Study Mode

[#76] The rational number for recurring decimal 0.125125.... is:
Correct Answer

(C) $$frac{{125}}{{999}}$$

Explanation

Solution: $$0.125125... = 0.overline {125} = frac{{125}}{{999}}$$

[#77] 617 + 6.017 + 0.617 + 6.0017 = ?
Correct Answer

(C) 629.6357

Explanation

Solution: $$eqalign{
& 617.00 cr
& ,,,,,,,6.017 cr
& ,,,,,,,0.617 cr
& + ,,,6.0017 cr
& - - - - - - cr
& ,,,629.6357 cr
& - - - - - - cr} $$

[#78] The value of $$frac{{489.1375 imes 0.0483 imes 1.956}}{{0.0873 imes 92.581 imes 99.749}}$$ xa0 xa0 is closest to:
Correct Answer

(B) 0.06

Explanation

Solution: $$eqalign{
& frac{{489.1375 imes 0.0483 imes 1.956}}{{0.0873 imes 92.581 imes 99.749}} approx frac{{489 imes 0.05 imes 2}}{{0.09 imes 93 imes 100}} cr
& = frac{{489}}{{9 imes 93 imes 10}} cr
& = frac{{163}}{{279}} imes frac{1}{{10}} cr
& = frac{{0.58}}{{10}} cr
& = 0.058 approx 0.06 cr} $$

[#79] 0.002 x 0.5 = ?
Correct Answer

(B) 0.001

Explanation

Solution: 2 x 5 = 10. Sum of decimal places = 4 ∴ 0.002 x 0.5 = 0.001

[#80] 34.95 + 240.016 + 23.98 = ?
Correct Answer

(C) 298.946

Explanation

Solution: $$eqalign{
& ,,,,34.95 cr
& ,240.016 cr
& + 23.98 cr
& - - - - - cr
& 298.946 cr
& - - - - - cr} $$