SOLUTION: Because the fractions have a common denominator, compare the numerators. 5 < 3
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1 Section 1 Practice Problems 1. Because the fractions have a common denominator, compare the numerators. 5 < 3 So, To compare these numbers, write both fractions as a decimal. 0.8 is greater than 0.71, so is greater than To compare these numbers, write as a decimal. So,. 4. To compare these numbers, write as a decimal. So, esolutions Manual - Powered by Cognero Page 1
2 5. To compare these numbers, write as a decimal. So,. 6. To compare these numbers, write both fractions with a common denominator. So,. Order each set of rational numbers from least to greatest , 3.06, To order these numbers from least to greatest, write the fractions as decimals. = = 3.75 The decimals from least to greatest are 3.06, 3.06,,, 3.8., 3.75, 3.8. So, the numbers in order from least to greatest are esolutions Manual - Powered by Cognero Page 2
3 8.,, 1.75, 2.4 To order these numbers from least to greatest, write the fractions as decimals. = = 2.25 The decimals from least to greatest are 1.75, 1.875, 2.25, 2.4. So, the numbers in order from least to greatest are 1.75,,, ,, 0.5, To order these numbers from least to greatest, write the fractions as decimals. = = 0.1 The decimals from least to greatest are 0.5,, 0.1, So, the numbers in order from least to greatest are 0.5,,, ,, 4.65, 4.09 To order these numbers from least to greatest, write the fractions as decimals. = 4.6 = 3.4 The decimals from least to greatest are 4.65, 4.6, 4.09, 3.4. So, the numbers in order from least to greatest are 4.65,, 4.09,. esolutions Manual - Powered by Cognero Page 3
4 11. Find each sum or difference. Write in simplest form esolutions Manual - Powered by Cognero Page 4
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7 Find each sum or difference. Write in simplest form if necessary ( 3.8) Both numbers are negative, so the sum is negative. Add the absolute values ( 4.5) Both numbers are negative, so the sum is negative. Add the absolute values. esolutions Manual - Powered by Cognero Page 7
8 Subtract the absolute values. Because 38.9 > 24.2, the result is negative To subtract, add the inverse. Both numbers in the sum are negative, so the result is negative ( 61.1) 61.1 > 26.37, so the result is negative ( 81.3) To subtract 81.3, add its inverse ( 27.9) 43.2 > 27.9, so the result is positive. esolutions Manual - Powered by Cognero Page 8
9 ( 14) To subtract ( 14), add its inverse ( 0.458) To subtract 0.458, add its inverse. 35. The LCD is 6. esolutions Manual - Powered by Cognero Page 9
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12 41. GEOGRAPHY About of the surface of Earth is covered by water. The rest of the surface is covered by land. How much of Earth s surface is covered by land? To find how much of Earth s surface is covered by land, subtract the amount covered by water from the total. The entire Earth s surface can be represented by 1. So, of the Earth s surface is covered by land. esolutions Manual - Powered by Cognero Page 12
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