Question

Даю 30 баллов за решение! Вычислите и запишите результат в виде десятичной дроби: 1) 3/10+1/100+4/1000; 2) 5+7/10; 3) 6+9/10+7/1000; 4) 20+8+5/100+6/1000; 5) 30+2+3/100+1/1000; 6) 90+5/10+7/100+3/10000. Заранее спасибо!

Answer 1

1)300+10+4/1000=314/1000=0,314
2)50/10+7/10=57/10=5,7
3)6000+900+7/1000=6907/1000=6,907
4)20000+8000+50+6/1000=28,056

Answer 2

Solution:

To solve the given expressions and write the results as decimal fractions, we can follow these steps:

1) Expression: 3/10 + 1/100 + 4/1000

To add fractions, we need to find a common denominator. In this case, the common denominator is 1000.

- Converting 3/10 to the equivalent fraction with a denominator of 1000: (3/10) * (100/100) = 300/1000 - Converting 1/100 to the equivalent fraction with a denominator of 1000: (1/100) * (10/10) = 10/1000

Now we can add the fractions:

300/1000 + 10/1000 + 4/1000 = (300 + 10 + 4)/1000 = 314/1000

The result as a decimal fraction is 0.314.

2) Expression: 5 + 7/10

To add a whole number and a fraction, we can convert the whole number to an equivalent fraction with the same denominator as the fraction.

- Converting 5 to the equivalent fraction with a denominator of 10: 5 * (10/10) = 50/10

Now we can add the fractions:

50/10 + 7/10 = (50 + 7)/10 = 57/10

The result as a decimal fraction is 5.7.

3) Expression: 6 + 9/10 + 7/1000

Following the same steps as above:

- Converting 6 to the equivalent fraction with a denominator of 10: 6 * (10/10) = 60/10 - Converting 9/10 to the equivalent fraction with a denominator of 10: 9/10 * (1/1) = 9/10 - Converting 7/1000 to the equivalent fraction with a denominator of 10: 7/1000 * (100/100) = 7/10000

Now we can add the fractions:

60/10 + 9/10 + 7/10000 = (600 + 9 + 7)/10000 = 616/10000

The result as a decimal fraction is 0.0616.

4) Expression: 20 + 8 + 5/100 + 6/1000

Following the same steps as above:

- Converting 20 to the equivalent fraction with a denominator of 100: 20 * (100/100) = 2000/100 - Converting 8 to the equivalent fraction with a denominator of 100: 8 * (100/100) = 800/100 - Converting 5/100 to the equivalent fraction with a denominator of 100: 5/100 * (1/1) = 5/100 - Converting 6/1000 to the equivalent fraction with a denominator of 100: 6/1000 * (10/10) = 6/10000

Now we can add the fractions:

2000/100 + 800/100 + 5/100 + 6/10000 = (2000 + 800 + 5 + 6)/10000 = 2811/10000

The result as a decimal fraction is 0.2811.

5) Expression: 30 + 2 + 3/100 + 1/1000

Following the same steps as above:

- Converting 30 to the equivalent fraction with a denominator of 100: 30 * (100/100) = 3000/100 - Converting 2 to the equivalent fraction with a denominator of 100: 2 * (100/100) = 200/100 - Converting 3/100 to the equivalent fraction with a denominator of 100: 3/100 * (1/1) = 3/100 - Converting 1/1000 to the equivalent fraction with a denominator of 100: 1/1000 * (10/10) = 1/10000

Now we can add the fractions:

3000/100 + 200/100 + 3/100 + 1/10000 = (3000 + 200 + 3 + 1)/10000 = 3204/10000

The result as a decimal fraction is 0.3204.

6) Expression: 90 + 5/10 + 7/100 + 3/10000

Following the same steps as above:

- Converting 90 to the equivalent fraction with a denominator of 10: 90 * (1/1) = 90/1 - Converting 5/10 to the equivalent fraction with a denominator of 10: 5/10 * (1/1) = 5/10 - Converting 7/100 to the equivalent fraction with a denominator of 10: 7/100 * (10/10) = 7/1000 - Converting 3/10000 to the equivalent fraction with a denominator of 10: 3/10000 * (1000/1000) = 3/10000

Now we can add the fractions:

90/1 + 5/10 + 7/100 + 3/10000 = (90 + 5 + 7 + 3)/10000 = 105/10000

The result as a decimal fraction is 0.0105.

To summarize, the results of the given expressions as decimal fractions are: 1) 3/10 + 1/100 + 4/1000 = 0.314 2) 5 + 7/10 = 5.7 3) 6 + 9/10 + 7/1000 = 0.0616 4) 20 + 8 + 5/100 + 6/1000 = 0.2811 5) 30 + 2 + 3/100 + 1/1000 = 0.3204 6) 90 + 5/10 + 7/100 + 3/10000 = 0.0105

I hope this helps! Let me know if you have any further questions.