Regrouping whole numbers | Arithmetic properties | Pre-Algebra | Khan Academy

TL;DR

Learn how to regroup the place values to represent the number 675 in various ways.

Transcript

Let's think about different ways that we can represent the number 675. So the most obvious way is to just look at the different place values. So the 6 is in the hundreds place. It literally represents 600. So that's 600. I'm going to do that in the red color-- 600. The 7 is in the tens place. It represents 7 tens, or 70. And then the 5 in the ones ... Read More

Key Insights

• 🥇 The place values determine the representation of a number, with the hundreds place representing hundreds, the tens place representing tens, and the ones place representing ones.
• 🥡 Regrouping involves taking or giving values from one place to another, which changes the representation of the number.
• 🥇 The value in each place can be changed to create different representations of the same number.
• 🥇 The regrouping process requires understanding the concept of place value and basic addition and subtraction skills.

Questions & Answers

Q: How can the number 675 be represented using the place values?

The number 675 can be represented as 600 in the hundreds place, 70 in the tens place, and 5 in the ones place.

Q: How can the value in the hundreds place be changed by regrouping?

By taking 100 from the hundreds place, the value becomes 500, and that 100 can be given to another place.

Q: How does regrouping affect the value in the tens place?

Giving 100 to the tens place when it already had 70 will make it equal to 170, which is equivalent to 17 tens.

Q: What happens when regrouping is done between the tens place and the ones place?

By giving 10 from the tens place to the ones place, the value in the tens place becomes 160, and the ones place becomes 15.

Summary & Key Takeaways

• The number 675 can be represented as 600 in the hundreds place, 70 in the tens place, and 5 in the ones place.

• By regrouping, the value in each place can be changed, such as taking 100 from the hundreds place and giving it to the tens place, resulting in 500 in the hundreds place and 170 in the tens place.

• Further regrouping can be done by giving 10 from the tens place to the ones place, resulting in 160 in the tens place and 15 in the ones place.