Definition:
Expanded form is a way of breaking down a number to show the value of each digit. In expanded form, we write a number as a sum of each digit’s place value. To convert from expanded form to standard form, we add the place values back together to get the original number.
Converting expanded form to standard form:
Example 1:
Write the number in standard form: 300+40+5300 + 40 + 5300+40+5
Solution:
- Identify the values: 300300300, 404040, and 555.
- Add them together: 300+40+5=345300 + 40 + 5 = 345300+40+5=345.
Answer: The standard form is 345.
Example 2:
Write the number in standard form: 7000+500+20+87000 + 500 + 20 + 87000+500+20+8
Solution:
- Identify the values: 700070007000, 500500500, 202020, and 888.
- Add them together: 7000+500+20+8=75287000 + 500 + 20 + 8 = 75287000+500+20+8=7528.
Answer: The standard form is 7528.
Example 3:
Write the number in standard form: 4000+300+60+24000 + 300 + 60 + 24000+300+60+2
Solution:
- Identify the values: 400040004000, 300300300, 606060, and 222.
- Add them together: 4000+300+60+2=43624000 + 300 + 60 + 2 = 43624000+300+60+2=4362.
Answer: The standard form is 4362.
Example 4:
Write the number in standard form: 50000+6000+700+50+950000 + 6000 + 700 + 50 + 950000+6000+700+50+9
Solution:
- Identify the values: 500005000050000, 600060006000, 700700700, 505050, and 999.
- Add them together: 50000+6000+700+50+9=5675950000 + 6000 + 700 + 50 + 9 = 5675950000+6000+700+50+9=56759.
Answer: The standard form is 56759.
Example 5:
Write the number in standard form: 900+80+3900 + 80 + 3900+80+3
Solution:
- Identify the values: 900900900, 808080, and 333.
- Add them together: 900+80+3=983900 + 80 + 3 = 983900+80+3=983.
Answer: The standard form is 983.
Let's practice solving place values, and stay tuned with us for more content.