Decimal Fraction - Study Mode

[#81] Which of the following is equal to 3.14 x 10 6 ?
Correct Answer

(C) 3140000

Explanation

Solution: 3.14 x 10 6 = 3.14 x 1000000 = 3140000

[#82] $$frac{{5 imes 1.6 - 2 imes 1.4}}{{1.3}} = ?$$
Correct Answer

(D) 4

Explanation

Solution: $$eqalign{
& { ext{Given Expression}} cr
& = frac{{8 - 2.8}}{{1.3}} cr
& = frac{{5.2}}{{1.3}} cr
& = frac{{52}}{{13}} cr
& = 4 cr} $$

[#83] How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
Correct Answer

(B) 6

Explanation

Solution: Sum of decimal places = 7. Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.

[#84] The correct expression of $$6.overline {46},$$ in the fractional form is:
Correct Answer

(D) $$frac{{640}}{{99}}$$

Explanation

Solution: $$eqalign{
& 6.overline {46} cr
& = 6 + 0.overline {46} cr
& = 6 + frac{{46}}{{99}} cr
& = frac{{594 + 46}}{{99}} cr
& = frac{{640}}{{99}} cr} $$

[#85] The fraction $$101frac{{27}}{{100000}}$$ xa0 in decimal for is
Correct Answer

(C) 101.00027

Explanation

Solution: $$eqalign{
& 101frac{{27}}{{100000}} cr
& = 101 + frac{{27}}{{100000}} cr
& = 101 + .00027 cr
& = 101.00027 cr} $$