Comparing decimals example 2 | Decimals | Pre-Algebra | Khan Academy

TL;DR

Comparing decimal numbers using place value and multiplication to determine which is larger or smaller.

Transcript

Let's compare 0.1 to 0.070. So this 1 right over here, it is in the tenths place. So it literally represents 1 times 1/10, which is obviously the same thing as 1/10. Now, when we look at this number right over here, it has nothing in the tenths place. It has 7 in the hundredths place. So this is the hundredths place right over here. And then it als... Read More

Key Insights

• 👀 Decimal numbers can be compared by looking at the digits in the tenths, hundredths, and thousandths places.
• 👻 Multiplying both the numerator and denominator by a power of 10 allows for easy comparison of decimal numbers.
• 🥇 Equivalent fractions can be used to compare decimal numbers with different digits in the same place value.

Questions & Answers

Q: How can you compare decimal numbers using place value?

To compare decimal numbers, look at the digits in the tenths, hundredths, and thousandths places. The number with a larger digit in a particular place is greater.

Q: How can you compare decimal numbers with different digits in the tenths and hundredths places?

To compare decimal numbers with different digits in the tenths and hundredths places, you can rewrite them using equivalent fractions with a common denominator. Then, compare the numerators.

Q: What is the significance of multiplying both the numerator and denominator by 10 or 100?

Multiplying both the numerator and denominator by 10 (or any power of 10) allows you to convert a decimal number into an equivalent fraction with a different denominator, making comparison easier.

Q: How do you determine which decimal number is smaller?

To determine which decimal number is smaller, compare the digits in the same place value. The number with a smaller digit in a particular place is smaller.

Summary & Key Takeaways

• The video explains how to compare decimal numbers by looking at the place value and multiplying to determine which is larger or smaller.

• It demonstrates comparing numbers with different digits in the tenths, hundredths, and thousandths places.

• Multiplying both the numerator and denominator by 10 or 100 allows for direct comparison of decimal numbers.