Place the following set of numbers in ascending order.-2/9,5/9,1/8,-1/9,3/7?
Give it a try yourself -- then a math teacher will help you.
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First, group the negative numbers: -2/9 and -1/9. Which is smaller?
Then the positive numbers: 5/9, 1/8, 3/7. Can you see the smallest and the largest ones in this group? If you're having trouble, find the common denominators and then sort them.
We'll be happy to check your work.
Put in ascending order
5 2\9, 175, -234,0.64
To place the set of numbers in ascending order, we need to arrange them from the smallest to the largest value. In this case, we have the following set of numbers:
-2/9, 5/9, 1/8, -1/9, 3/7.
To compare fractions, we can find a common denominator for all the fractions and then compare their numerators. Here's how you can do that:
Step 1: Find a common denominator for all the fractions. In this case, the least common denominator (LCD) is 7 * 8 * 9 = 504. So, we will convert all the fractions to have a denominator of 504.
-2/9 becomes -2 * 56/9 * 56 = -112/504.
5/9 becomes 5 * 56/9 * 56 = 280/504.
1/8 becomes 1 * 63/8 * 63 = 63/504.
-1/9 remains the same as -1/9.
3/7 becomes 3 * 72/7 * 72 = 216/504.
Step 2: Now that all the fractions have a common denominator, we can compare their numerators.
Arranging the fractions in ascending order based on their numerators:
-112/504, -1/9, 63/504, 216/504, 280/504.
Step 3: Simplify the fractions if possible.
-112/504 = -14/63 (dividing both numerator and denominator by 4).
-1/9 remains the same.
63/504 = 9/72 (dividing both numerator and denominator by 7).
216/504 = 9/21 (dividing both numerator and denominator by 24).
280/504 = 10/18 (dividing both numerator and denominator by 28).
So, the numbers arranged in ascending order are:
-14/63, -1/9, 9/72, 9/21, 10/18.
Please note that these fractions can be further simplified, but as the question asks for arranging them in ascending order, it is not necessary to simplify them further.