Math worksheet for practicing number forms and conversions.
Worksheet #8 with math exercises on writing numbers in words, standard form, expanded form, and addition.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 Maths Worksheets Understanding 4 Digit Numbers Page 9 | PDF
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 Maths Worksheets Understanding 4 Digit Numbers Page 9 | PDF
Let’s go through each problem step by step. We’ll solve them one at a time, carefully checking our work.
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1) Write these numbers in words.
We read the number from left to right, grouping by thousands, hundreds, tens, and ones.
a) 4578
→ 4000 = four thousand
→ 500 = five hundred
→ 70 = seventy
→ 8 = eight
So: four thousand five hundred seventy-eight
b) 3019
→ 3000 = three thousand
→ 0 hundreds → skip
→ 10 = ten
→ 9 = nine → so “nineteen”
So: three thousand nineteen
c) 3000
→ Just three thousand → three thousand
d) 2987
→ 2000 = two thousand
→ 900 = nine hundred
→ 80 = eighty
→ 7 = seven
So: two thousand nine hundred eighty-seven
e) 8730
→ 8000 = eight thousand
→ 700 = seven hundred
→ 30 = thirty
→ 0 ones → stop
So: eight thousand seven hundred thirty
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2) Write these numbers in standard form.
This means turning worded numbers into digits.
a) Six thousand four hundred and one
→ 6000 + 400 + 1 = 6401
b) Eight thousand two hundred and twelve
→ 8000 + 200 + 12 = 8212
c) One thousand and one
→ 1000 + 1 = 1001
d) Three thousand three hundred and thirteen
→ 3000 + 300 + 13 = 3313
e) Seven thousand four hundred and thirty one
→ 7000 + 400 + 31 = 7431
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3) Write the number in its expanded form.
Expanded form breaks the number into place values (thousands, hundreds, tens, ones).
a) 8765
→ 8000 + 700 + 60 + 5
b) 9999
→ 9000 + 900 + 90 + 9
c) 2323
→ 2000 + 300 + 20 + 3
d) 1016
→ 1000 + 0 + 10 + 6 → but we don’t write zero places usually → 1000 + 10 + 6
Wait — actually, for expanded form, we should include all place values even if zero? Let’s check common practice.
In most elementary worksheets, they expect you to show only non-zero parts unless specified otherwise. But sometimes they want full breakdown.
Looking at question 4, it shows addition with zeros implied (like 8000 + 100 + 7), so probably we can omit zero terms.
But let’s be safe — since 1016 has no hundreds, we write:
→ 1000 + 10 + 6
Similarly:
e) 9087
→ 9000 + 0 + 80 + 7 → again, skip zero → 9000 + 80 + 7
Actually, let me double-check with standard definition.
Standard expanded form often includes every place value, even if zero. For example, 1016 = 1000 + 0×100 + 10 + 6.
But in many school worksheets, especially at this level, they accept omitting zero terms.
Looking at Question 4, part c is “8000 + 100 + 7”, which skips the tens place (zero). So yes — we can omit zero terms.
So:
a) 8765 = 8000 + 700 + 60 + 5
b) 9999 = 9000 + 900 + 90 + 9
c) 2323 = 2000 + 300 + 20 + 3
d) 1016 = 1000 + 10 + 6
e) 9087 = 9000 + 80 + 7
---
4) Write the numbers.
Just add up the given parts.
a) 4000 + 300 + 20 + 1 =
→ 4000 + 300 = 4300
→ 4300 + 20 = 4320
→ 4320 + 1 = 4321
b) 6000 + 200 + 30 + 9 =
→ 6000 + 200 = 6200
→ 6200 + 30 = 6230
→ 6230 + 9 = 6239
c) 8000 + 100 + 7 =
→ 8000 + 100 = 8100
→ 8100 + 7 = 8107
d) 5000 + 400 + 70 + 4 =
→ 5000 + 400 = 5400
→ 5400 + 70 = 5470
→ 5470 + 4 = 5474
e) 3000 + 4 =
→ 3004
---
Now, let’s compile all answers neatly.
Final Answer:
1)
a) four thousand five hundred seventy-eight
b) three thousand nineteen
c) three thousand
d) two thousand nine hundred eighty-seven
e) eight thousand seven hundred thirty
2)
a) 6401
b) 8212
c) 1001
d) 3313
e) 7431
3)
a) 8000 + 700 + 60 + 5
b) 9000 + 900 + 90 + 9
c) 2000 + 300 + 20 + 3
d) 1000 + 10 + 6
e) 9000 + 80 + 7
4)
a) 4321
b) 6239
c) 8107
d) 5474
e) 3004
---
1) Write these numbers in words.
We read the number from left to right, grouping by thousands, hundreds, tens, and ones.
a) 4578
→ 4000 = four thousand
→ 500 = five hundred
→ 70 = seventy
→ 8 = eight
So: four thousand five hundred seventy-eight
b) 3019
→ 3000 = three thousand
→ 0 hundreds → skip
→ 10 = ten
→ 9 = nine → so “nineteen”
So: three thousand nineteen
c) 3000
→ Just three thousand → three thousand
d) 2987
→ 2000 = two thousand
→ 900 = nine hundred
→ 80 = eighty
→ 7 = seven
So: two thousand nine hundred eighty-seven
e) 8730
→ 8000 = eight thousand
→ 700 = seven hundred
→ 30 = thirty
→ 0 ones → stop
So: eight thousand seven hundred thirty
---
2) Write these numbers in standard form.
This means turning worded numbers into digits.
a) Six thousand four hundred and one
→ 6000 + 400 + 1 = 6401
b) Eight thousand two hundred and twelve
→ 8000 + 200 + 12 = 8212
c) One thousand and one
→ 1000 + 1 = 1001
d) Three thousand three hundred and thirteen
→ 3000 + 300 + 13 = 3313
e) Seven thousand four hundred and thirty one
→ 7000 + 400 + 31 = 7431
---
3) Write the number in its expanded form.
Expanded form breaks the number into place values (thousands, hundreds, tens, ones).
a) 8765
→ 8000 + 700 + 60 + 5
b) 9999
→ 9000 + 900 + 90 + 9
c) 2323
→ 2000 + 300 + 20 + 3
d) 1016
→ 1000 + 0 + 10 + 6 → but we don’t write zero places usually → 1000 + 10 + 6
Wait — actually, for expanded form, we should include all place values even if zero? Let’s check common practice.
In most elementary worksheets, they expect you to show only non-zero parts unless specified otherwise. But sometimes they want full breakdown.
Looking at question 4, it shows addition with zeros implied (like 8000 + 100 + 7), so probably we can omit zero terms.
But let’s be safe — since 1016 has no hundreds, we write:
→ 1000 + 10 + 6
Similarly:
e) 9087
→ 9000 + 0 + 80 + 7 → again, skip zero → 9000 + 80 + 7
Actually, let me double-check with standard definition.
Standard expanded form often includes every place value, even if zero. For example, 1016 = 1000 + 0×100 + 10 + 6.
But in many school worksheets, especially at this level, they accept omitting zero terms.
Looking at Question 4, part c is “8000 + 100 + 7”, which skips the tens place (zero). So yes — we can omit zero terms.
So:
a) 8765 = 8000 + 700 + 60 + 5
b) 9999 = 9000 + 900 + 90 + 9
c) 2323 = 2000 + 300 + 20 + 3
d) 1016 = 1000 + 10 + 6
e) 9087 = 9000 + 80 + 7
---
4) Write the numbers.
Just add up the given parts.
a) 4000 + 300 + 20 + 1 =
→ 4000 + 300 = 4300
→ 4300 + 20 = 4320
→ 4320 + 1 = 4321
b) 6000 + 200 + 30 + 9 =
→ 6000 + 200 = 6200
→ 6200 + 30 = 6230
→ 6230 + 9 = 6239
c) 8000 + 100 + 7 =
→ 8000 + 100 = 8100
→ 8100 + 7 = 8107
d) 5000 + 400 + 70 + 4 =
→ 5000 + 400 = 5400
→ 5400 + 70 = 5470
→ 5470 + 4 = 5474
e) 3000 + 4 =
→ 3004
---
Now, let’s compile all answers neatly.
Final Answer:
1)
a) four thousand five hundred seventy-eight
b) three thousand nineteen
c) three thousand
d) two thousand nine hundred eighty-seven
e) eight thousand seven hundred thirty
2)
a) 6401
b) 8212
c) 1001
d) 3313
e) 7431
3)
a) 8000 + 700 + 60 + 5
b) 9000 + 900 + 90 + 9
c) 2000 + 300 + 20 + 3
d) 1000 + 10 + 6
e) 9000 + 80 + 7
4)
a) 4321
b) 6239
c) 8107
d) 5474
e) 3004
Parent Tip: Review the logic above to help your child master the concept of 3 digit number names worksheet.