Multiplying Decimals Teacher Resources

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Explore all things decimal in this thorough series of introduction activities. Including scripting for the teacher and detailed descriptions and examples, the plan begins by reviewing the basics of place value and writing fractions as decimals, works through rounding, adding, subtracting, multiplying and dividing numbers with decimals, and culminates in word problems and linear equations involving decimals.
Find the product of numbers that have decimals. First, ignore the decimals and multiply the integers. Second, count the place values of the decimals for each value given. Third, add the values together. Fourth, place the decimal in the appropriate place.
In this math worksheet, students practice multiplication of decimals. Students begin by multiplying whole numbers by decimals, then decimal numbers by decimals, up to the thousandths place. The problems are written both in horizontal and vertical form. Multiplication (mental) of decimals by 10, 100 and 1000 are also included. Hints and clues are provided.
There are two Khan Academy videos on representing numbers as decimals, percents, and fractions. This one shows students how to represent a fraction as a decimal and a percent. Sal demonstrates the process used to convert the fraction 7/8 into a decimal and then a percent. This presentation is very well done and would be great at an independent work station or as homework support.
In this math worksheet, students complete a page that provides a step by step explanation of how to multiply decimal numbers to the hundredths place. Students answer 8 questions and may choose some extension activities with a partner.
One of the most practical ways to teach about percentages is to use the real-life example of "sale" or "discount" pricing. This presentation poses many of these type of problems for young mathematicians who are trying to master the technique. There are problems where they must calculate interest on a purchase and the commission earned by a salesman who makes a percentage on each sale. Very good!
Put your learners' decimal skills to the test with these five word problems. With space for students to write their work, the word problems contain addition and multiplication problems with money and measurement units. Use this resource as a quiz or an in-class activity to fully assess your class's comprehension.
Multiplying decimal numbers isn't that much different than multiplying whole numbers. If you need a little extra support, this video may help. Sal shows how to multiply 23.12 by 0.5. He takes care to line up the decimal points, regroup, and place the decimal in the proper place when he finishes his computation.
Divide decimals. Watch as Sal explains how to divide 1.03075 by 0.25. He provides a step-by-step process that is easy to follow, clear, and well-organized. Note: This would be great for a teacher prepping for a math lesson or as supplemental material to show in class.
Have your young mathematicians complete this practice problem along with Sal. To solve this thinking problem, they will need to multiply decimal numbers in order to determine the cost of 14.6 gallons of gas when gas costs $2.70 per gallon.
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks at these problems and tries to draw conclusions about why certain numbers are easier to work with mentally, leading to interesting insights into our number system and powers of ten. 
Sal takes out the big guns - or in this case, big calculator - in this video, which carries the concept of significant figures even further. Sal shows how to multiply and divide significant figures using both electronic and handwritten calculations.
It's all about decimals in these word problems, which have scholars apply math to scenarios they will likely come across later in life. Working with multi-digit numbers and decimals to the hundredths place, learners must determine the operation for each of six problems and show their work in the designated place. They use subtraction, multiplication, and division to solve these, and can reference the two examples if they need to.
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such equation by a power of 10 or 10r, where r is the repeating segment.
By using visual aids, and explaining mathematical language students can get a concrete grasp of how to multiply decimals.
Students divide and multiply decimals. In this algebra lesson, students investigate properties of decimals with place holders. They use the correct place holder to multiply and divide decimals.
Fifth graders solve 35 multiplication equations, all of which have one number with a decimal multiplied by a single-digit number. The decimal numbers all are single-digit with a decimal only to the tenths place, so this is ideal for beginners to this skill. They can reference the three examples, as well. Consider numbering these equations before copying to make review easier.
Students multiply and simplify fractions. In this algebra instructional activity, students define and steps to take when multiplying fractions and mixed numbers. They rewrite fractions into decimals and decimals into fractions.
Students convert between decimals and ratios. In this algebra lesson, students identify the percent of a number by multiplication. They convert between fractions, percents and decimals.
Students utilize number sense applications to multiply two digit numbers. They use "The Multiplier" and Internet source to partition and solve 2 digit by 1 digit multiplications. Students describe how to solve 2-digit by 1-digit multiplications using a diagram.

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Multiplying Decimals