Comparing and Ordering Rational Numbers

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Comparing and Ordering Rational Numbers Math 6/7 NOTES (2.5) Name:_______________________________ Comparing and Ordering Rational Numbers To Order Fractions, Decimals & Percents: 1. Convert all numbers to a common format. (Hint: look for the conversion that is easiest) 2. Put them in the required ordered. (Least to Greatest or Greatest to Least) 3. Rewrite in the original format. Let’s Review: Order the following decimals from least to greatest: 1) 0.402, 0.42, 0.375, 1.2 2) 0.3 , 2. , 0.321, 2.52 ퟐ� ퟓ� Compare the following rational numbers using >, <, or = 1) 10% 2) 0.5 3) 1.7 170% 1 3 8 5 4) 2 2.75% 5) 15% 6) 50% 0.05 3 1 4 5 Order the following numbers from least to greatest: 7) 135%, 13.5, 8 8) , 16.7%, 0.16 3 1 5 6 Order the following numbers from greatest to least: 9) 0.42, 4.2%, 10) 3 , 3.34, 300% 2 1 5 3 Put the following in ascending order: 11) 45%, , 0.6, 1 12) 4, 0.8, 50%, 0 1 2 13) , 10%, 5, 0.6 14) 9%, 0.9, 3 9 4 1000 Put the following numbers in descending order: 15) 45%, , 0.045 16) 125%, 1 , 1.26 1 1 2 2 Math 6/7 HOMEWORK (2.5) Name ________________________ For the problems below, put the numbers in ascending order. 1) 0.23, 2.30%, 2) 1.7%, 17, 1 17 5 100 For the problems below, put the numbers in descending order. 3) 1.25, 1 , 12.5% 4) 5%, , 0.005 2 1 5 2 5) At Jeremy’s high school, about of the students are in the band, 0.31 of high school 3 students play at least one sport,16 and 13% are in the drama club. List these types of activities from least to most popular. 6) You can express a ________________ as a fraction by writing it as a fraction with a denominator of 100. 7) Rewrite 10% as a fraction. 8) Rewrite as a decimal. 2 5 9) Rewrite 0.67 as a percent. 10) There are 14 black pens out of 25 pens. What percent of the pens are black? 11) About 17% of kids will attend an overnight summer camp, will attend a day camp, and 11 0.59 will attend no summer camp at all. Which group of kids50 is the greatest? 12) In a recent year, Major League Baseball player Jack Wilson’s batting average was 0.308. Melvin Mora hit safety 17 out of every 50 at-bats and Bobby Abreu hit safety 30.1% of the time. Find Mora’s and Abreu’s batting averages and order all three averages from least to greatest. 13) Complete the table below. Fractions Decimals Percent 0.25 5 7 10 7% 13.2 � 1 3 .
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