Fraction-decimal intuition problems (examples) | 4th grade | Khan Academy | Summary and Q&A

TL;DR

Learn how to express shaded areas on a grid as both fractions and decimals.

Key Insights

• ❓ Grids can be used to represent shaded areas as fractions and decimals.
• #️⃣ The numerator of the fraction represents the number of shaded sections, while the denominator represents the total number of sections.
• 🥇 The decimal representation of a shaded area is determined by the count of shaded sections in the corresponding place value.
• ❓ Understanding fractions and decimals is essential for mathematical calculations and measurements.
• 🇦🇪 Different grids can have different units, such as tenths or hundredths.
• 😑 Shaded areas can be expressed as both fractions and decimals, providing flexibility in representation.
• 🥇 Counting shaded sections helps determine the numerator in the fraction and the decimal place in the decimal representation.

Transcript

• [Voiceover] We are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall re... Read More

Questions & Answers

Q: How can you express a shaded area on a grid as a fraction?

To express a shaded area on a grid as a fraction, count the shaded sections and write it as a numerator over the total number of sections as the denominator. For example, if there are 6 shaded sections out of 10, the fraction would be 6/10.

Q: How can you express a shaded area on a grid as a decimal?

To express a shaded area on a grid as a decimal, count the shaded sections and place the count in the decimal place value corresponding to its unit. For example, if there are 6 shaded sections out of 10, the decimal representation would be 0.6.

Q: What does each section of the grid represent?

Each section of the grid represents a fraction of the whole. Depending on the grid, it could represent tenths, hundredths, or any other unit.

Q: How can you determine the fraction and decimal for a shaded area on a grid with 100 sections?

Count the shaded sections and write the count as a fraction with 100 as the denominator. For example, if there are 21 shaded sections, the fraction would be 21/100. The decimal representation would be 0.21.

Summary & Key Takeaways

• The video explains how to express shaded areas on a grid as fractions and decimals.

• The first example showcases a grid with 10 equal sections, with 6 out of 10 sections shaded, represented as 6/10 or 0.6.

• The second example features a grid with 100 equal sections, with 5 out of 100 sections shaded, represented as 5/100 or 0.05.