Illustrative Math Alignment: Grade 7 Unit 4

In this tutorial, students learn how to compare and order decimals using place value techniques.

In this tutorial, students learn how to write decimals in expanded and standard form using place value techniques.

In this tutorial, students learn how to write decimals in rounded form using place value techniques.

Video Tutorial: Ratios and Rates: Ratios as Decimals. In this video, students explore ratios whose terms are decimals. Students are shown techniques for simplifying these types of ratios in ;the context of solving real-world ratio problems.

This is part of a collection of math definitions from Media4Math's Visual Glossary.

Topic

Place Value

Definition

A decimal number is a number that includes a decimal point, separating the whole number part from the fractional part.

Description

Decimal numbers are a crucial part of the base ten number system, representing values that are not whole numbers. The decimal point separates the whole number part from the fractional part, allowing for precise representation of values. For example, the number 12.34 has a whole number part (12) and a fractional part (0.34).

Topic

Place Value

Definition

The decimal point is a dot used to separate the whole number part from the fractional part of a decimal number.

Description

The decimal point is a critical component of the base ten number system, allowing for the representation of fractional values. It separates the whole number part from the fractional part, enabling precise calculations and measurements. For example, in the number 23.45, the decimal point separates 23 (whole number) from 0.45 (fractional part).

Topic

Place Value

Definition

A decimal square is a visual representation of a decimal number using a square grid, where each small square represents a fractional part of the whole.

Description

Decimal squares are visual tools used to represent decimal numbers. A square grid is divided into smaller squares, each representing a fractional part of the whole. For example, a 10 x 10 grid can represent hundredths, where each small square is 0.01. This visual representation helps students understand the concept of decimals and their place values.

Topic

Ratios, Proportions, and Percents

Definition

Percents as decimals involve converting a percentage into its decimal representation.

Description

Converting percents to decimals is a key skill in mathematics, allowing students to perform calculations involving percentages more easily. To convert, divide the percent by 100.

For example, 75% as a decimal is 0.75, calculated by dividing 75 by 100. This conversion is useful in many contexts, such as finance, where calculations are conducted using decimal values. Mastering this concept enables students to approach real-world problems with greater confidence and accuracy.

Topic

Ratios, Proportions, and Percents

Definition

Ratios with decimals involve comparing two quantities where one or both of the quantities are represented as decimal numbers.

Description

Ratios with decimals are crucial in various real-world applications, particularly in financial calculations, engineering, and scientific measurements. For instance, when calculating financial ratios such as the price-to-earnings ratio, decimals are often involved. Understanding how to work with these ratios allows for more precise and meaningful comparisons.

Learn different strategies for finding the percent of a number. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

In this Math Riddles Game, have your students review vocabulary around the topic of decimal place value. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking.

Related Resources

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

A Brief Review of Place Value

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Related Resources

Create a Slide Show

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.