## Place Values and Ten Times Differences

#### Aligned To Common Core Standard:

**Grade 5 Base Ten** - 5.NBT.1

How to Compare the Place Values between Two Numbers? (i.e. the 5 in both of these numbers 857 and 45,986) - When studying number systems, the concept of place values is the most important ones. Grabbing the concept of place values firmly helps makes mathematical problems easy and less of a challenge. Each number comprises of different digits and each of these digits hold a unique value. Knowing the place values, we can determine the value of the number, compare two number systems, solve word problems, and round off numbers. Place values play a significant role in comparing two multi-digit numbers. To understand place values let us consider two numbers; 857 and 45,986. Both these numbers include the number five but the value of each of these 5s is different. Here is a comparison of these two numbers based on their place values; The 5 you see in 857 holds a tens value, which means it is adding 5 tens in the number, representing 50. The 5 you see in 45,986 holds the thousands value, which means it is adding 5 thousands in the number, representing 5000. Teo same digits will have a unique value in two different number systems.

### Printable Worksheets And Lessons

- Expanded Form Step-by-step
Lesson- Convert an expanded number to a standard number.

- Guided Lesson
- Find out how good you are with jumping around the place values
in this one.

- Guided Lesson Explanation
- I find that putting the value under each number always helps students
grasp the concept quickly.

- Practice Worksheet
- A random place value marathon and obstacle course in one.

- Matching Worksheet - Which number make the place values fit? A little easy, but it's a great starting point.

#### Homework Sheets

Condense all the place values to move from expanded to standard number form.

- Homework 1 - Put all those place values together and find a final sum.
- Homework 2 - Which digit is in the hundreds' place, 455.232?
- Homework 3 - What is the place value of the underlined digit?

#### Practice Worksheets

I do go a bit rogue with the decimal place values. This carries over to another skill.

- Practice 1 - We put it all together.
- Practice 2 - Have another go at it.
- Practice 3 - Get after those underlines.