Compare the folowing decimals by using >, < or = 1 021 1 102 1 657 1 567 0 991 0 99 0 120 0 12 2 500 2 5 1 908 1 9 1 11 1 120 0 085 0 84
Compare the decimals using place value 0 9 is equivalent to 9 tenths 0 79 is equivalent to 7 tenths, 9 hundredths 9 tenths is greater than 7 tenths,
Compare each pair of decimals using the symbols >, < or = Page 2 37 68 25 5853 39 8907 12 91 23 4538 6 7325 43 5 35 1262 37 392 25 59 39 8907
Notes: Compare Decimals Using Place Values It is sometimes tricky to determine which decimal is the larger of two decimals Upon first
26 mai 2020 · Compare two decimals to the thousandths place based on meanings of the digits in each place, using less than () or equals
To compare decimals, write the decimal numbers with the same number of decimal places and decide Write the list adding zeros to hundred thousandths
Compare 0 5 and 0 30 Ignore the decimal point and the zero to the left of the decimal point Which number has the greater value, 30 or 50? 50 is greater
When ordering decimal numbers, we use the same technique of comparing the place value of the digits in each number Razia puts these decimal numbers in order
Comparing decimals and ordering up to four decimal numbers expressed through thousandths Primary SOL: 4 3 The student will c) compare and order decimals
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1 Comparing Decimals Use What You've Learned Answers and Explanations
1. Rob is the owner of a comic shop called Limited Edition Comic. Each week, Rob ships comics to customers. One week a customer ordered 12.57 pounds of special Avenger comics. Another customer ordered 12.8 pounds of special Spiderman comics. Which order would cost Rob more to ship? Represent the decimal part of each number by shading the following grids. Use this area model to explain which number is greater. 0.57 0.8 You could represent 12.57 with 12 fully shaded grids and the first grid shown above. You could represent 12.8 with 12 fully shaded grids and the second grid shown above. Both numbers have 12 fully shaded grids, but the partially shaded grid for 0.8 is greater than the partially shaded grid for 0.57, so 12.8 is greater than 12.57. Show which number is greater using another strategy. Compare the weights using fractions. 12.57 (twelve and fifty-seven hundredths) = 1257100 12.8 (twelve and eight tenths) = 12810 Change to a common denominator. 12810 = 1280100 1280100 is greater than 1257100 . Compare the weights using place value. 12.57 is equivalent to 1 ten, 2 ones, 5 tenths, 7 hundredths. 12.8 is equivalent to 1 ten, 2 ones, 8 tenths. 8 tenths is more than 5 tenths, so 12.8 is greater than 12.57. It will cost more to ship the order that weighs 12.8 pounds.
2 Comparing Decimals Use What You've Learned Answers and Explanations
2. As Rob was leaving work on Tuesday, he noticed the rain gauge registered 0.9 inch of rain for the day. On Monday, his gauge showed 0.79 inch. On which day did it rain more? Show your reasoning by expressing the decimals as fractions. 0.9 = 910 0.79 = 79100 Change to a common denominator. 910 = 90100 90100 is greater than 79100 . Show which number is greater using another strategy. Compare the decimals using an area model. 0.9 (Tuesday) 0.79 (Monday) The grids show 0.9 is greater than 0.79 because more of the grid is shaded. Compare the decimals using place value. 0.9 is equivalent to 9 tenths. 0.79 is equivalent to 7 tenths, 9 hundredths. 9 tenths is greater than 7 tenths, so 0.9 is greater than 0.79. It rained more on Tuesday than on Monday.
3 Comparing Decimals Use What You've Learned Answers and Explanations
3. While working with small samples of ore, Gabe determined that the first sample weighed 0.288 grams. The second sample weighed 0.305 grams. Which sample weighed more? Show your reasoning by using place value. 0.288 is equivalent to 2 tenths, 8 hundredths, 8 thousands. 0.305 is equivalent to 3 tenths, 0 hundredths, 5 thousandths. 0.305 has more tenths, therefore, 0.305 is greater than 0.288. Show which number is greater using another strategy. Compare the decimals using an area model. 0.288 (first sample) 0.305 (second sample) The grids show 0.305 is greater than 0.288 because more of the grid is shaded. Compare the decimals using fractions. 0.288 = 2881000 . 0.305 = 3051000 . 3051000 is greater than 2881000 . The sample that weighed 0.305 grams is greater than the sample that weighed 0.288 grams.
4 Comparing Decimals Use What You've Learned Answers and Explanations
4. In the Beijing Olympics, the following times were recorded for Jamaican athletes in the 100-meter track and field competition: 10.2 seconds, 10.02 seconds, 10.16 seconds. If these three runners had competed in the same race, which would have been the winning time? Show your reasoning using whatever method you like. Why did you pick that particular method? (Note: The winning time will be the decimal with the smallest value.) Using an area model to compare the decimal parts of each number. 0.2 0.02 0.16 You could represent 10.2 with 10 fully shaded girds and the first grid shown above. You could represent 10.02 with 10 fully shaded girds and the second grid shown above. You could represent 10.16 with 10 fully shaded grids and the third grid shown above. All three numbers have 10 fully shaded grids, but the partially shaded grid for 0.02 is less than the partially shaded grids for 0.2 and 0.16, so 10.02 is the smallest number and the winning time. Compare the times using fractions. 10.2 (ten and two tenths) = 10210 . 10.02 (ten and two hundredths) = 102100 . 10.16 (ten and sixteen hundredths) = 1016100 . Change to a common denominator. 10210 = 1020100 102100 is less than 1016100 or 1020100 . Compare the times using place value. 10.2 is equivalent to 1 ten, 0 ones, 2 tenths. 10.02 is equivalent to 1 ten, 0 ones, 0 tenths, two hundredths. 10.16 is equivalent to 1 ten, 0 ones, 1 tenth, 6 hundredths. 0 tenths is less than 2 tenths or 1 tenth, so 10.02 is less than 10.2 or 10.16. 10.02 is the smallest number and the winning time.