# 3rd Grade - Expand Using Place Value

 Grade Level: 3rd Skill: Numbers Topic: Expand Using Place Value Goal: Use expanded notation to represent numbers (e.g., 3,206 is written as 3,000 + 200 + 6 in expanded form). Skill Description: Number Sense: Expanded notation, expanded form. The ability to stretch out numbers to reflect the value in each place of the number.

## Building Blocks/Prerequisites

### Sample Problems

 (1) How are numbers written? Numbers can be written in different ways. (standard and expanded) (2) What do the terms standard notation and expanded notation mean? (Standard numbers are written with numerals and commas like you see in everyday life. Expanded notation numbers are pulled apart into parts and reflect the number value of each place—just like when figuring out place value.) (3) How do you write the number 823 in expanded notation? (800 + 20 + 3) (4) Write in standard notation: 6000 + 500 + 8 (6,508) (5) Write this in standard notation. 9,000 + 300 + 20 + 6 (9,326)

### Online Resources

 (1) (2) (3)

### Extra Help Problems

 (1) How do you write the number 508 in expanded notation? (500 + 8; since there are no tens to represent there is nothing to write in that space) (2) How do you write this expanded number in standard notation? 9,000 + 700 + 50 + 3 (5,753) (3) How do you write this expanded number in standard notation? 5,000 + 200 + 50 + 5 (5,255) (4) How do you write the number 1,008 in expanded notation? (1000+8) (5) How do you write the expanded number in standard notation? 10,000 + 800 + 30 + 1 (10,831) (6) How do you write the number 999 in expanded notation? (900 + 90 + 9) (7) How do you write the expanded number in standard notation? 6,000 + 600 + 20 (6,620) (8) How do you write the number 23 in expanded notation? (20 + 3) (9) How do you write the expanded number in standard notation? 10,000 + 900 + 70 + 9 (10,979) (10) How do you write the number 200 in expanded notation? (200) (11) How do you write the expanded number in standard notation? 300 + 3 (303) (12) How do you write the number 842 in expanded notation? (800 + 40 + 2) (13) How do you write the expanded number in standard notation? 8,000 + 400 + 3 (8,403) (14) How do you write the number 250 in expanded notation? (200 + 50) (15) How do you write the expanded number in standard notation? 600 + 90 + 9 (699) (16) In problems 16-25, decide if the number has been written in expanded notation or standard form. If the number is in expanded notation, write it in standard form. If the number is in standard form, write it in expanded notation. (17) 8,000 + 400 + 30 + 0 (8,430) (18) 8925 (8,000+900+20+5) (19) 6000 +200 + 40 + 4 (6,244) (20) 5334 (5000 + 300 + 30 + 4) (21) 4541 (4000 + 500 + 40 + 1) (22) 5000 + 300 + 6 (5,306) (23) 3073 (3000 + 70 + 3) (24) 759 (700 + 50 + 9) (25) 3000 + 100 + 4 (3,104) (26) 1411 (1000 + 400 + 10 + 1)