6.NS.B.3

Decimal Discovery

Experience Awakening - Our open-world educational game

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Game Info for Teachers

COMBINED RATING

4.0 Stars

TEACHERS (31)

4.3

STUDENTS (6710)

3.7

LENGTH

19 Minutes

GRADES

CAPABILITIES

iPad Support

Spanish Language Support

Text-to-Speech Support

Saves Progress

Description

Enter the world of Barlingons and take control of an abandoned spaceship that belongs to an intelligent species called humans! You're on a team of smart pilots to fly the spaceship to Earth and learn the knowledge of mathematics from humans. In order to disintegrate the obstacles on your way, learn about decimal numbers and how to add, subtract, multiply, and divide them!

Vocabulary Words

decimals

tenths place

hundredths place

thousandths place

place value

divisor

dividend

Instructions

Play through this interactive game to learn about Arithmetic with Decimals. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

Use place value knowledge when multiplying decimals (A tenth by a tenth will yield a product of a hundredth).

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.

General methods used for computing quotients of whole numbers extend to decimals with the additional issue of placing the decimal point in the quotient.

Use the same place value understanding for adding and subtracting decimals used for adding and subtracting whole numbers.

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).

General methods used for computing products of whole numbers extend to products of decimals.

Use a standard algorithm to divide multi-digit decimals: 4-digit divided by 2-digit or 3-digit divided by 3-digit.

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 (e.g., 16 can also be written as 16.0 or 16.00). This reasoning can be used to put 0s in places so that all numbers show the same number of places to the right of the decimal point.

When multiplying the decimal place values can be added and then added to the product (32.4 x 16.8 can be multiplied as 324 x 168 and then move the decimal the 2 place values left in the product).

Use a standard algorithm to multiply multi-digit decimals: 1-digit x 2-digit, 1-digit x 3- digit, 2 digit x 3-digit, 2-digit x 4-digit, or 2-digit x 5-digit.

Use a standard algorithm to add multi-digit decimals.

Use a standard algorithm to subtract multi-digit decimals.

Decimals are not limited and expectations for factors students will multiply tenths with tenths and tenths with hundredths and thousandths by thousandths.

When multiplying by 0.1 and by 0.01, explain why the product is ten or a hundred times as small as the multiplicand (moves one or two places to the right). Extend reasoning to multipliers that are single-digit multiples of 0.1 and 0.01 (e.g., 0.2 and 0.02, etc.).

Discussion Questions

Before the Game

What is the purpose of a decimal within a number? What are the place values to the right of the decimal? How are decimals related to fractions? What are the place values for numbers less than 1? Where do you place the decimal point when you add decimal numbers? Where do you place the decimal point when you multiply decimal numbers?

After the Game

When adding two or more numbers with decimals, what must we do with the decimals? When is it necessary to add zeros as placeholders in a decimal problem? When you multiply two decimals, how do you decide where the decimal goes in the answer? What is the process for dividing decimal numbers when there is a decimal in the divisor and the dividend? How do you solve problems with numbers have different amounts of numbers after the decimal? What is 134.1 -25.6?