Comparing Decimals Teacher Resources
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Ordering decimals is different from ordering whole numbers, but your scholars will get the hang of it after assorting 17 sets of numbers from least to greatest. The numbers all have decimals to the hundreds place, so they use knowledge of place value to determine the orders. Some of these are tricky; remind scholars to look at the whole number as well as the decimal to avoid silly mistakes.
Explore the practical uses of adding numbers with decimals as scholars add measurements and money. The first 12 equations are written vertically with half the sums requiring a dollar sign and half a unit of measurement. The next six are written horizontally, also with specific units. There are two word problems, one involving money and the other length. All of these have decimals to the hundredths place. Extend this concept by bringing in menus from favorite restaurants and having scholars order and add up totals.
Show scholars the practical uses of adding numbers with decimals as they add measurements and amounts of money. The first 12 equations are written vertically with half the sums requiring a dollar sign and half a unit of measurement. The next six are written horizontally, also with specific units. There are two word problems, one involving money and the other length. All of these have decimals to the hundredths place. Extend this concept by bringing in menus from favorite restaurants and having scholars order and add up totals.
Division of 3-Digit Decimal Numbers
Move that decimal up into the quotient! Mathematicians practice long division with three-digit dividends that have decimals to the hundredths place. All the divisors are single-digit numbers, and there are two examples demonstrating the process. There are no irrational quotients. Consider numbering the problems before copying to make review simpler.
Drill decimal multiplication with scholars using 30 practice problems. Each equation includes one single-digit whole number and one three-digit number with a decimal to the tenths place. They solve for each product, regrouping numbers as necessary. There are three examples to get them started. None of these problems are numbered, so consider numbering them before copying to make review easier.
Learners insert the comparison symbols between numbers containing decimals. Answers are not provided.
Converting Fractions to Decimals
These fractions need to be converted to decimals, but no calculator is needed. Scholars examine two examples which explain the process briefly before completing 16 fractions with denominators of either 10 or 100. For the next section they convert more complex fractions using long division, again with an example as guidance. Connect this concept tangibly using money: What is one-quarter of a dollar? Learners will quickly begin using these familiar concepts to help them grasp these more complicated ideas.
In this comparing worksheet, students compare decimals and percents. They identify the largest and smallest number in a dequence. This one-page worksheet contains 10 multiple-choice problems. Answers are provided.
Decimal Place Value
What is the place value of the digit 5? Explore decimals to the ten-thousandths place with these place value identification problems. For the first eight, pupils write down the place of a specific digit in various numbers. Next, scholars choose from three numbers given information about which digit is in which place. Finally, learners determine how much greater one number is than a number very close to it. There are examples for some of these to guide young mathematicians. Challenge them to think about what the next place value might be.
Comparing and Ordering
Before handing out this number comparison activity, ask scholars to pick a number between 20 and 50. Could they do it? Explain that they chose a number greater than 20 and less than 50, which is exactly what they will be doing next. Each number here comes with a set of values to compare it to. Learners circle all numbers in the set that are greater than or less than the given number. For the last one, they circle numbers between two values. Some of these deal with three-digit numbers while others are monetary values including decimals. There is an example to help them get started.
Where Should You Turn?
Fourth graders complete activities to study decimal numbers. For this decimal numbers lesson, 4th graders study decimal numbers to express numbers less than one and intervals. Students complete map and location activities to study the position of decimal numbers on a linear scale.
Compare Decimals and Fractions
Compare and order fractions and decimals in order to represent fractional numbers on a number line. Your class can use sets of Fraction Tower Equivalency Cubes, if available, to help model the fractions and find the decimal equivalent using the cubes.
Compare Decimals Integers
In this decimal comparison instructional activity, students insert the greater than, less than or equal to symbol to compare pairs of decimal integers. Answers are included on page 2.
Compare Decimal Numbers
In this comparing decimals learning exercise, students choose the correct comparison symbols to compare numbers with decimals. Students complete 10 problems.
Comparing Decimals (A)
On a straightforward assignment, math whizzes write inequality symbols or the equal sign for 30 pairs of numbers. Use the page as homework, an assessment, or an in-class practice when working on CCSS.Math.Content.5.NBT.3.b.
Finance: Depreciation (Double Declining)
Of particular interest to a group of business and finance pupils, this lesson explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide presentation and the working of sample problems together as a class. Along the way, they use decimals and percents, and also investigate exponential decay and linear relationships. A pretest, guided practice, individual practice, and posttest handout are all provided.
It's All the Same! Comparing Fractions, Decimals and Percent
In this math worksheet, 3rd graders compare fractions, decimals, and percents. Students convert fractions to decimals, decimals to percents, fractions to percents, percents to fractions, percents to decimals, and decimals to fractions.
Students develop strategies to find equivalent decimals. In this equivalent decimals lesson, students participate in a variety of decimal games to find equivalent decimals.
Young mathematicians represent recorded information in decimal form. For this decimals lesson, learners play a "classroom friendly" basketball game in which pupils take 10 shots. Number of shots made out of 10 is recorded as a fraction and decimal, followed by calculating number of shots out of 100.
Quiz: Representing, Comparing, and Ordering Decimals
Here is a 42-question quiz dealing with decimals to the thousandths place. It is comprehensive in that it has test takers use inequality signs to compare pairs of decimal numbers, choose the least- or greatest-valued nubmer out of a set of five, and then identify a number described in expanded form.