Answer:
0.0000000009 ÷ 0.0003 = 80000/
26666666667
= 3.0×10-6
Step-by-step explanation:
Conversion a decimal number to a fraction: 9.0E-10 = 9/
10000000000
= 8/
8888888889
a) Write down the decimal 9.0E-10 divided by 1: 9.0E-10 = 9.0E-10/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
9.0E-10/
1
= 9.0E-9/
10
= 9.0E-8/
100
= 9.0E-7/
1000
= 9.0E-6/
10000
= 9.0E-5/
100000
= 0.0009/
1000000
= 0.009/
10000000
= 0.09/
100000000
= 0.9/
1000000000
= 9/
10000000000
Note: 9/
10000000000
is called a decimal fraction.
c) Simplify and reduce the fraction
9/
10000000000
= 9 * 1/
10000000000 * 1
= 9 * 1/
10000000000 * 1
Conversion a decimal number to a fraction: 0.0003 = 3/
10000
= 3/
10000
a) Write down the decimal 0.0003 divided by 1: 0.0003 = 0.0003/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.0003/
1
= 0.003/
10
= 0.03/
100
= 0.3/
1000
= 3/
10000
Note: 3/
10000
is called a decimal fraction.
c) Simplify and reduce the fraction
3/
10000
= 1.5 * 2/
5000 * 2
= 1.5 * 2/
5000 * 2
= 1.5/
5000
Divide: 0 / 0.0003 = 8/
8888888889
· 10000/
3
= 8 · 10000/
8888888889 · 3
= 80000/
26666666667
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/
10000
is 10000/
3
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - eight over eight billion eight hundred eighty-eight million eight hundred eighty-eight thousand eight hundred eighty-nine divided by three over ten thousand = eighty thousand over twenty-six billion six hundred sixty-six million six hundred sixty-six thousand six hundred sixty-seven.
