Decimals
Notes on Decimals Name_________________________________________
Date______________________________Period______
A decimal is a number that shows tenths, hundredths, and so on, by using a decimal point.
The decimal 3.25 has three digits: 3 2 5
The decimal 3.25 is written in standard form.
In word form, 3.25 is written: three and twenty-five hundredths
Place Value
Place-value tables show the value of each digit in a decimal. You need to know the value of each digit to write the number in expanded form.
Example:
|Hundreds |Tens |Ones |Decimal point |Tenths |Hundredths |
|2 |9 |8 |. |0 |4 |
There are no tenths in this number. That is why there is a 0 (zero) written in the tenths place. Here is 298.04 written in expanded form and word form.
standard form: 298.04
expanded form: 200 + 90 + 8 + 0.04
word form: two hundred ninety-eight and four hundredths
Practice:
|Hundreds |Tens |Ones |Decimal point |Tenths |Hundredths |
|7 |5 |2 |. |4 |8 |
1. Write the number above in standard form: ___________________________________________________
2. Write the number in expanded form: ________________________________________________________
3. Write the number in word form: ___________________________________________________________
________________________________________________________________________________________
|Hundreds |Tens |Ones |Decimal point |Tenths |Hundredths |
|4 |0 |1 |. |5 |6 |
4. Write the number above in standard form: ___________________________________________________
5. Write the number in expanded form: ________________________________________________________
6. Write the number in word form: ___________________________________________________________
________________________________________________________________________________________
|Hundreds |Tens |Ones |Decimal point |Tenths |Hundredths |
|9 |7 |2 |. |4 |6 |
7. Write the number above in standard form: ___________________________________________________
8. Write the number in expanded form: ________________________________________________________
9. Write the number in word form: ___________________________________________________________
________________________________________________________________________________________
|Hundreds |Tens |Ones |Decimal point |Tenths |Hundredths |
|6 |7 |0 |. |2 |3 |
10. Write the number above in standard form: __________________________________________________
11. Write the number in expanded form: _______________________________________________________
12. Write the number in word form: __________________________________________________________
________________________________________________________________________________________
|Hundreds |Tens |Ones |Decimal point |Tenths |Hundredths |
|5 |2 |9 |. |0 |1 |
13. Write the number above in standard form: __________________________________________________
14. Write the number in expanded form: _______________________________________________________
15. Write the number in word form: __________________________________________________________
________________________________________________________________________________________
16. How is 16.73 written in word form? ______________________________________________________
17. How is six and thirty-four hundredths written in standard form? ______________________________
18. Write a decimal with 8 in the ones place, 1 in the tenths place, and 5 in the hundredths place. _________
19. Which number is in the tenths place in the decimal 13.42 ? _______________________
For numbers 20 and 21, write the given decimal in expanded form.
20. 12.56 ________________________________________________________________________________
21. 800.03 ______________________________________________________________________________
For numbers 22 and 23, the expanded for of a decimal is given. Write the decimal in standard form.
22. 500 + 20 + 1 + 0.3 ____________________________________________________
23. 100 + 6 + 0.4 + 0.05 __________________________________________________
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