Understanding place value is a key concept that begins in grade one and continues to the sixth grade. refers to the value of each number based on the placement of that number. For instance, in the number 67,894 the 7 refers to 7000 or 7 groups of one thousand, likewise, the 8 refers to 800 or 8 groups of 100 and so on. Students often have difficulty with this concept and teaching for understanding is essential.

Use plenty of concrete strategies to help. Base ten blocks are great for teaching place value.

**Here are some great exercises to help with place value:**

State the value (tens, hundreds, tenths, millions, billionths etc.) of the bolded number:

1. 176,1**6**9.5

2. 1.84594**1**8

3. 20**1**,713

4. 53.23**6**40

5. 55**6,**368,265 6. 7.**6**1

7. 9,**2**67,293,829

8. 2,966,**8**51.09

9. 1.2379**7**36

10. 21,8**9**0,403

11. 4.61**7**451

12. 8**3**9,955,966

13. 418,27**8**.19

14. **2**,730,880,518

15. 55,**7**20

16. 2.7192**2**8

17. 94,**4**80,384

18. 6.1**9**96

19. **9**5,525,838

20. 7,96**8.**5

**Answers**

1. 176,1**6**9.5

Tens

2. 1.84594**1**8

Millionths

3. 20**1**,713

Thousands

4. 53.23**6**40

Thousandths

5. 55**6,**368,265 Millions

6. 7.**6**1

Tenths

7. 9,**2**67,293,829

Hundred millions

8. 2,966,**8**51.09

Hundreds

9. 1.2379**7**36

Hundred-thousandths

10. 21,8**9**0,403

Ten thousands

11. 4.61**7**451

Thousandths

12. 8**3**9,955,966

Ten millions

13. 418,27**8**.19

Ones

14. **2**,730,880,518

Billions

15. 55,**7**20

Hundreds

16. 2.7192**2**8

Hundred-thousandths

17. 94,**4**80,384

Hundred-thousandths

18. 6.1**9**96

Hundredths

19. **9**5,525,838

Ten-millions

20. 7,96**8.**5

Ones

These exercises include numbers in the ten millions and to the millionths. When beginning with place value concepts, begin with two digit numbers and slowly move to larger numbers and to decimal places. Regular review will help solidify the concept.

Children should be taught that the numbers right of the decimal place will end on a th. It helps to post the places in a chart format. For example:

Millions, Hundred-thousands, Ten-thousands, Thousands, Hundreds, Tens, Ones, DECIMAL POINT, Tenths, Hundredths, Thousandths, Ten-thousandths...

Children will soon pick up the pattern left and right of the decimal point. Reviewing this article will be helpful.