Educational math worksheet teaching students to write numbers in standard, expanded, and word forms using charts and examples.
Worksheet titled "Writing Numbers Three Ways" with sections for standard, expanded, and word form exercises, including number charts and examples.
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Step-by-step solution for: Standard, expanded and word form worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Standard, expanded and word form worksheet
Let's solve each part of the worksheet step by step.
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#### i. $ 90,000 + 1,000 + 600 + 10 + 6 $
We add all the values together:
- $ 90,000 $
- $ + 1,000 = 91,000 $
- $ + 600 = 91,600 $
- $ + 10 = 91,610 $
- $ + 6 = 91,616 $
✔ Answer: 91,616
---
#### ii. *three hundred twenty-one million eight hundred sixty thousand four hundred fifteen*
Break it down:
- "three hundred twenty-one million" → 321,000,000
- "eight hundred sixty thousand" → 860,000
- "four hundred fifteen" → 415
Now add them:
- $ 321,000,000 + 860,000 = 321,860,000 $
- $ + 415 = 321,860,415 $
✔ Answer: 321,860,415
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#### iii. $ 6,000,000 + 50,000 + 7,000 + 300 + 90 + 5 $
Add step by step:
- $ 6,000,000 $
- $ + 50,000 = 6,050,000 $
- $ + 7,000 = 6,057,000 $
- $ + 300 = 6,057,300 $
- $ + 90 = 6,057,390 $
- $ + 5 = 6,057,395 $
✔ Answer: 6,057,395
---
#### i. $ 418,952,302 $
Break this number into its place values:
- Hundreds Millions: 400,000,000
- Ten Millions: 10,000,000
- Millions: 8,000,000
- Hundred Thousands: 900,000
- Ten Thousands: 50,000
- Thousands: 2,000
- Hundreds: 300
- Tens: 0
- Ones: 2
So expanded form:
$$
400,000,000 + 10,000,000 + 8,000,000 + 900,000 + 50,000 + 2,000 + 300 + 0 + 2
$$
But we can simplify and omit zero:
✔ Answer:
$ 400,000,000 + 10,000,000 + 8,000,000 + 900,000 + 50,000 + 2,000 + 300 + 2 $
---
#### ii. *eight hundred thirty-nine thousand two hundred sixty-seven*
First, write in standard form:
839,267
Now break into place values:
- Hundreds Thousands: 800,000
- Ten Thousands: 30,000
- Thousands: 9,000
- Hundreds: 200
- Tens: 60
- Ones: 7
So expanded form:
$$
800,000 + 30,000 + 9,000 + 200 + 60 + 7
$$
✔ Answer:
$ 800,000 + 30,000 + 9,000 + 200 + 60 + 7 $
---
#### i. $ 910,843,075 $
Break it down by periods:
- Billions: none (so skip)
- Millions: 910 million
- Thousands: 843 thousand
- Ones: 075 → seventy-five
So:
- 910 million = nine hundred ten million
- 843 thousand = eight hundred forty-three thousand
- 075 = seventy-five
Combine:
Nine hundred ten million eight hundred forty-three thousand seventy-five
✔ Answer:
*Nine hundred ten million eight hundred forty-three thousand seventy-five*
---
#### ii. $ 80,000,000 + 1,000,000 + 300,000 + 50,000 + 8,000 + 200 + 10 $
First, add to get standard form:
- $ 80,000,000 $
- $ + 1,000,000 = 81,000,000 $
- $ + 300,000 = 81,300,000 $
- $ + 50,000 = 81,350,000 $
- $ + 8,000 = 81,358,000 $
- $ + 200 = 81,358,200 $
- $ + 10 = 81,358,210 $
Now write in word form:
Break into:
- Millions: 81 million
- Thousands: 358 thousand
- Ones: 210
So:
- 81 million = eighty-one million
- 358 thousand = three hundred fifty-eight thousand
- 210 = two hundred ten
Combine:
Eighty-one million three hundred fifty-eight thousand two hundred ten
✔ Answer:
*Eighty-one million three hundred fifty-eight thousand two hundred ten*
---
#### A. Standard Form
i. 91,616
ii. 321,860,415
iii. 6,057,395
#### B. Expanded Form
i. 400,000,000 + 10,000,000 + 8,000,000 + 900,000 + 50,000 + 2,000 + 300 + 2
ii. 800,000 + 30,000 + 9,000 + 200 + 60 + 7
#### C. Word Form
i. Nine hundred ten million eight hundred forty-three thousand seventy-five
ii. Eighty-one million three hundred fifty-eight thousand two hundred ten
---
Let me know if you'd like this formatted for printing or need a visual chart!
---
A. Write the numbers in STANDARD FORM
#### i. $ 90,000 + 1,000 + 600 + 10 + 6 $
We add all the values together:
- $ 90,000 $
- $ + 1,000 = 91,000 $
- $ + 600 = 91,600 $
- $ + 10 = 91,610 $
- $ + 6 = 91,616 $
✔ Answer: 91,616
---
#### ii. *three hundred twenty-one million eight hundred sixty thousand four hundred fifteen*
Break it down:
- "three hundred twenty-one million" → 321,000,000
- "eight hundred sixty thousand" → 860,000
- "four hundred fifteen" → 415
Now add them:
- $ 321,000,000 + 860,000 = 321,860,000 $
- $ + 415 = 321,860,415 $
✔ Answer: 321,860,415
---
#### iii. $ 6,000,000 + 50,000 + 7,000 + 300 + 90 + 5 $
Add step by step:
- $ 6,000,000 $
- $ + 50,000 = 6,050,000 $
- $ + 7,000 = 6,057,000 $
- $ + 300 = 6,057,300 $
- $ + 90 = 6,057,390 $
- $ + 5 = 6,057,395 $
✔ Answer: 6,057,395
---
B. Write the numbers in EXPANDED FORM
#### i. $ 418,952,302 $
Break this number into its place values:
- Hundreds Millions: 400,000,000
- Ten Millions: 10,000,000
- Millions: 8,000,000
- Hundred Thousands: 900,000
- Ten Thousands: 50,000
- Thousands: 2,000
- Hundreds: 300
- Tens: 0
- Ones: 2
So expanded form:
$$
400,000,000 + 10,000,000 + 8,000,000 + 900,000 + 50,000 + 2,000 + 300 + 0 + 2
$$
But we can simplify and omit zero:
✔ Answer:
$ 400,000,000 + 10,000,000 + 8,000,000 + 900,000 + 50,000 + 2,000 + 300 + 2 $
---
#### ii. *eight hundred thirty-nine thousand two hundred sixty-seven*
First, write in standard form:
839,267
Now break into place values:
- Hundreds Thousands: 800,000
- Ten Thousands: 30,000
- Thousands: 9,000
- Hundreds: 200
- Tens: 60
- Ones: 7
So expanded form:
$$
800,000 + 30,000 + 9,000 + 200 + 60 + 7
$$
✔ Answer:
$ 800,000 + 30,000 + 9,000 + 200 + 60 + 7 $
---
C. Write the numbers in WORD FORM
#### i. $ 910,843,075 $
Break it down by periods:
- Billions: none (so skip)
- Millions: 910 million
- Thousands: 843 thousand
- Ones: 075 → seventy-five
So:
- 910 million = nine hundred ten million
- 843 thousand = eight hundred forty-three thousand
- 075 = seventy-five
Combine:
Nine hundred ten million eight hundred forty-three thousand seventy-five
✔ Answer:
*Nine hundred ten million eight hundred forty-three thousand seventy-five*
---
#### ii. $ 80,000,000 + 1,000,000 + 300,000 + 50,000 + 8,000 + 200 + 10 $
First, add to get standard form:
- $ 80,000,000 $
- $ + 1,000,000 = 81,000,000 $
- $ + 300,000 = 81,300,000 $
- $ + 50,000 = 81,350,000 $
- $ + 8,000 = 81,358,000 $
- $ + 200 = 81,358,200 $
- $ + 10 = 81,358,210 $
Now write in word form:
Break into:
- Millions: 81 million
- Thousands: 358 thousand
- Ones: 210
So:
- 81 million = eighty-one million
- 358 thousand = three hundred fifty-eight thousand
- 210 = two hundred ten
Combine:
Eighty-one million three hundred fifty-eight thousand two hundred ten
✔ Answer:
*Eighty-one million three hundred fifty-eight thousand two hundred ten*
---
✔ Final Answers:
#### A. Standard Form
i. 91,616
ii. 321,860,415
iii. 6,057,395
#### B. Expanded Form
i. 400,000,000 + 10,000,000 + 8,000,000 + 900,000 + 50,000 + 2,000 + 300 + 2
ii. 800,000 + 30,000 + 9,000 + 200 + 60 + 7
#### C. Word Form
i. Nine hundred ten million eight hundred forty-three thousand seventy-five
ii. Eighty-one million three hundred fifty-eight thousand two hundred ten
---
Let me know if you'd like this formatted for printing or need a visual chart!
Parent Tip: Review the logic above to help your child master the concept of word form math worksheet.