# Arithmetic with Decimals Math Games

In this series of games, your students will learn to add, subtract, multiply, and divide decimals to hundredths. The Arithmetic with Decimals learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 5.NBT.B.7 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

## Concepts Covered

General methods used for computing products of whole numbers extend to products of decimals. Base-ten units must be added and subtracted, so students need to attend to aligning the corresponding places correctly (this also aligns the decimal points). Use the same place value understanding for adding and subtracting decimals used for adding and subtracting whole numbers. Decimals are limited to thousandths and expectations for factors are limited to hundredths at this grade level. Students will multiply tenths with tenths and tenths with hundredths, but they need not multiply hundredths with hundredths. General methods used for computing quotients of whole numbers extend to decimals with the additional issue of placing the decimal point in the quotient.

A whole number is not usually written with a decimal point, but a decimal point followed by one or more 0s can be inserted on the right. The process of composing and decomposing a base-ten unit is the same for decimals as for whole numbers and the same methods of recording numerical work can be used with decimals as with whole numbers. When multiplying by 0.1 and by 0.01, explain why the product is ten or a hundred times as small as the multiplicand.

Use place value knowledge when multiplying decimals (a tenth by a tenth will yield a product of a hundredth). Add or subtract decimal numbers with models or models. Multiply or divide decimal numbers with or without models.

A preview of each game in the learning objective is found below.

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