order from least to greatest:
2.7, 2 1/7, 3.13, 1 9/10
3.13,2.14 2.7,1.9 ??????????
No.
First, you're supposed to arrange them from least to greatest.
Think of money. Which is more? $3.13 or $1.90?
Which is more? $2.14 or $2.70?
$3.13 and $2.70
so it would be
3.13,2.70,2.14,1.9 ?????????????
That isn't least to greatest!
To order the given numbers from least to greatest, we need to compare their values.
Let's convert the mixed numbers to improper fractions first:
- 2 1/7 can be written as (2 * 7 + 1) / 7 = 15/7.
- 1 9/10 can be written as (1 * 10 + 9) / 10 = 19/10.
Now we have the following numbers:
- 2.7
- 15/7
- 3.13
- 19/10
Let's compare them:
The first two numbers can be directly compared since they are both in decimal form:
2.7 < 3.13
For the remaining numbers, we can compare them by finding the least common denominator for their fractions, which is 70.
To convert 15/7 to a fraction with a denominator of 70, we multiply the numerator and denominator by 10:
(15 * 10) / (7 * 10) = 150/70.
To convert 19/10 to a fraction with a denominator of 70, we multiply the numerator and denominator by 7:
(19 * 7) / (10 * 7) = 133/70.
Now we can compare the fractions:
150/70 > 133/70
So, the final order from least to greatest is:
2.7 < 3.13 < 133/70 < 150/70
Change the two fractions to decimals.
2 1/7 = 2.14
1 9/10 = 1.9
I'll be glad to check your answer.