Expended numbers to standerd form.
Expended numbers to standerd form.
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Learning Outcomes:
    • Students will be able to recognize and understand the place value of each digit in a multi-digit number.
    • Students can accurately add numbers in expanded form to find their standard form.
    • Students can use addition to combine place values when converting expanded form to standard form.
    • Students will be able to develop a deeper understanding of how numbers are composed and represented.
    • Students can use expanded and standard forms in practical contexts, reinforcing place value understanding.

 

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expended numbers

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 + 5

Solution:

  1. Identify the values: 300300, 4040, and 55.
  2. Add them together: 300+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 + 8

Solution:

  1. Identify the values: 70007000, 500500, 2020, and 88.
  2. Add them together: 7000+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 + 2

Solution:

  1. Identify the values: 40004000, 300300, 6060, and 22.
  2. Add them together: 4000+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 + 9

Solution:

  1. Identify the values: 5000050000, 60006000, 700700, 5050, and 99.
  2. Add them together: 50000+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 + 3

Solution:

  1. Identify the values: 900900, 8080, and 33.
  2. Add them together: 900+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.

 

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