Comparing numbers represented in different ways | 4th grade | Khan Academy

TL;DR

Learn how to compare decimals and mixed numbers using different methods like converting to mixed numbers or decimals.

Transcript

• So we're asked to compare these two numbers right over here and I just took a picture from the Khan Academy exercise but this isn't it, itself, so I can't, I can't click on this, but if you did click on this on the exercise, you'd get to choose between one of these three, but I'll just write it down. So we're gonna compare 2.7 to two and 17 hundr... Read More

Key Insights

• #️⃣ Comparing decimals and mixed numbers can be done by converting them to either mixed numbers or decimals.
• 🥳 When comparing the fractional parts, convert them to a common denominator or decimal form for a fair comparison.
• 👻 Converting all values to decimals allows for a direct comparison and simplifies the ordering process.

Questions & Answers

Q: How can we compare two mixed numbers, 2.7 and 2.17?

To compare 2.7 and 2.17, you can convert them to mixed numbers or decimals. By comparing the fractional parts, 2.7 is greater than 2.17 because 7 tenths is larger than 17 hundredths.

Q: How can we determine which values are less than 2.03?

To find values less than 2.03, convert each value to decimals and compare them. For example, 2.2 or 2 and 20 hundredths is greater than 2.03, while 23 hundredths is less than 2.03.

Q: Can we order the values 2.59, 2 and 40 hundredths, and 2 and 30 hundredths from least to greatest?

Yes, to order these values, convert them to decimals. Comparing the tenths place, we find that 2 and 30 hundredths is the least, followed by 2 and 40 hundredths, and 2.59 is the greatest.

Summary & Key Takeaways

• Comparing two numbers, 2.7 and 2.17, by converting them to mixed numbers or decimals, reveals that 2.7 is greater.

• To determine which values are less than 2.03, compare 2.2, 2 and 12 hundredths, and 23 hundredths. Only 23 hundredths is less than 2.03.

• Ordering the values 2.59, 2 and 40 hundredths, and 2 and 30 hundredths from least to greatest results in 2.3 being the least, followed by 2.4, and 2.59 as the greatest.