Comparing Decimals with Examples and Practice Activities

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Explore how to compare decimal numbers to the hundredths place using reasoning and visual representations. Practice identifying the larger decimal, understanding the importance of decimal places, and using symbols for comparison. Enhance your skills in comparing decimals through real-world scenarios and engaging activities.

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Lesson 22 Compare Decimals

[OBJECTIVE] The student will compare two decimal numbers to the hundredths by reasoning about their values.

[MYSKILLS] Knowledge of place value and comparing whole numbers Use of less than, greater than and equal comparisons

[ESSENTIALQUESTIONS] 1. When comparing decimals, at what place value should you start comparing? 2. What are some ways to compare decimals? 3. What is the most important step when comparing decimals if you aren t using a picture or a place value chart?

[LESSON] Maria tries to save money when she purchases gasoline for her car. She spent the same amount of money at two gas stations. At Fill er Fuel, she bought 3.57 gallons of fuel, and at Quik E Fuel she bought 3.65 gallons of fuel. Which gas station should Maria visit again for the best deal? S Study the Problem Underline the question. This problem is asking me to find the gas station that gave Maria the best deal.

[Cooperative Pairs] Partner A Partner B

Comparing Decimals 1.25 1.3 Predict which decimal you think is larger. Let s explore the grids of the decimals to identify which one is larger!

Comparing Decimals 1.25 1.3 Having the same number of decimal places would make it easier to compare the numbers. Shade the tenths on the hundredths grid below.

Comparing Decimals 1.25 1.3 Which decimal is larger? 1.3 because it has more squares shaded in the grids.

Comparing Decimals 1.25 1.3 < Which symbol should we place inside the circle: less than (<) or greater than(>)? 1.25 is LESS THAN 1.3

Decimal Duels Start by cutting up the 10 decimal cards. 1.60 0.9 1.1 2.0 0.95 1.11 1.59 0.87 1.6 1.10

Decimal Duels Then, place them face down in a pile. 1.11 1.60 1.59 0.9 1.1 0.87 2.0 1.6 1.10 0.95

Decimal Duels Each partner then represents his or her decimal Then, pairs will compare their decimals to complete the statement at the top with a less than (<), greater than Each partner then pulls a card off the pile and writes his or her decimal on one side of the circle. number by shading in the appropriate squares in the hundredths grids provided. (>), or equal (=) sign to make the statement true. Partner A Partner B > 0.15 0.10

Decimal Duels The winner of this round would be: PARTNER A

Comparing Decimals Abstractly 12.46 12.37 Begin at the far left. Thousandths Hundredths Hundreds Tenths Ones Tens If the digits are the same, continue moving to the right. 1 2 4 6 When the digits are different, circle them! 1 2 3 7 SameSame Different

Comparing Decimals Abstractly 12.46 12.37 Look at the circled digits and identify which digit is larger. information to the comparison statement Thousandths Hundredths Hundreds Tenths Let s relay that Ones Tens Because 4 is larger than 3, the top decimal 12.46 is the larger decimal. 1 2 4 6 1 2 3 7 Different

Comparing Decimals Abstractly Larger 12.46 Smaller 12.37 > Because 12.46 is larger, we can say that it is greater than 12.37. Place a greater than symbol (>) inside the circle!

Comparing Decimals 14.99 15.99 We can compare decimals without a chart. Start by lining up the decimals. 1 4 9 9 1 5 9 9 Same Different Begin at the far left. If the digits are the same, continue moving to the right. When the digits are different, circle them!

Comparing Decimals 14.99 15.99 1 4 9 9 1 5 9 9 Because 5 is larger than 4, the bottom decimal 15.99 is the larger decimal. Let s relay that information to the statement for Question 1. Look at the circled digits and identify which digit is larger.

Comparing Decimals Smaller Larger 14.99 15.99 < Because 14.99 is smaller, we can say that it is less than 15.99. Place a less than symbol (<) inside the circle!

SOLVE Maria tries to save money when she purchases gasoline for her car. She spent the same amount of money at two gas stations. At Fill er Fuel, she bought 3.57 gallons of fuel, and at Quik E Fuel she bought 3.65 gallons of fuel. Which gas station should Maria visit again for the best deal? S Study the Problem Underline the question. This problem is asking me to find the gas station that gave Maria the best deal.

Maria tries to save money when she purchases gasoline for her car. She spent the same amount of money at two gas stations. At Fill er Fuel, she bought 3.57 gallons of fuel, and at Quik E Fuel she bought 3.65 gallons of fuel. Which gas station should Maria visit again for the best deal? O Organize the Facts Identify the facts. Eliminate the unnecessary facts.

O Organize the Facts List the necessary facts. Spent the same amount at two stations Fill-er-Fuel 3.57 gallons Quik E Fuel 3.65 gallons

L Line Up a Plan Choose an operation or operations. Comparing Decimals Write in words what your plan of action will be. Line up the two decimals and compare the digits in their place values from left to right. Identify which decimal is greater, and this will tell us where Maria got the better deal.

V Verify Your Plan with Action Estimate your answer. Quik E Fuel because at first glance it has a greater tenths value. Carry out your plan. Quik-E-Fuel has a greater value in the tenths place, so it would be the better deal! Hundredths Tenths Ones 3 5 7 Fill-er-Fuel Quik-E-Fuel 3 6 5

E Examine Your Results Does your answer make sense? (compare your answer to question.) Yes, because we are looking for the station that gave the best deal. Is your answer reasonable? (compare your answer to the estimate.) Yes, because our estimate is the same as our answer.

Is your answer accurate? (check your work.) Yes. Write your answer in a complete sentence. Maria should choose Quik E Fuel for the best deal.

[ESSENTIALQUESTIONS] 1. When comparing decimals, at what place value should you start comparing? (The largest place value, which is the one furthest to the left)

[ESSENTIALQUESTIONS] 2. What are some ways to compare decimals? (pictorially by shading in hundredths squares, using a place value chart, or lining up the decimal points and comparing)

[ESSENTIALQUESTIONS] 3. What is the most important step when comparing decimals if you aren t using a picture or place value chart? (Always remember to line up your decimals!)