Place value practice worksheet with examples and exercises for identifying digit values and periods.
Practice sheet for identifying place value in numbers, featuring a chart with periods (Millions, Thousands, Units) and exercises to find the value and period of underlined digits.
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Show Answer Key & Explanations
Step-by-step solution for: Identifying Place Value to Millions worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Identifying Place Value to Millions worksheet
Explanation:
Let’s go step by step through each question.
Part 1: Find the value of the underlined digit.
Remember: The *value* of a digit is the digit × its place value (e.g., 3 in the thousands place = 3 × 1,000 = 3,000).
1. 65 3̲17 — The underlined digit is 3, and it's in the *hundreds* place (since we have: 6 ten-thousands, 5 thousands, 3 hundreds, 1 ten, 7 ones).
So value = 3 × 100 = 300
2. 30 3̲48 630 — Let’s write with commas for clarity: 30,348,630
Places (from right):
- 0 = ones
- 3 = tens
- 6 = hundreds
- 8 = thousands
- 4 = ten thousands
- 3 = hundred thousands
- 0 = millions
- 3 = ten millions
So the underlined 3 is in the *hundred thousands* place → 3 × 100,000 = 300,000
3. 8̲ 275 — Underlined digit is 8, and it's the leftmost digit. Number is 8,275 → 8 is in the *thousands* place.
Value = 8 × 1,000 = 8,000
4. 5̲ 438 632 — Number: 5,438,632
From right:
- 2 = ones
- 3 = tens
- 6 = hundreds
- 8 = thousands
- 3 = ten thousands
- 4 = hundred thousands
- 5 = millions
So value = 5 × 1,000,000 = 5,000,000
Part 2: Identify the *period* that each underlined digit is in.
Recall periods:
- Units period: ones, tens, hundreds
- Thousands period: thousands, ten thousands, hundred thousands
- Millions period: millions, ten millions, hundred millions
5. 2 73̲5 234 — Number: 2,735,234
Underlined digit is 5. Let’s locate:
- 2,735,234 → break into periods:
- Millions: 2
- Thousands: 735
- Units: 234
So digits in 735 are: 7 = hundred thousands, 3 = ten thousands, 5 = thousands
→ Thousands period
6. 193 46̲4 — Number: 193,464
Break:
- Thousands: 193
- Units: 464
Digits in 464: 4 = hundreds, 6 = tens, 4 = ones
So underlined 4 is in the *ones* place → Units period
7. 7̲38 — Number: 738
Only three digits: 7 = hundreds, 3 = tens, 8 = ones
Underlined 7 is in the *hundreds* place → still in the Units period (since units period includes hundreds, tens, ones)
8. 4̲3 723 643 — Number: 43,723,643
Break into periods:
- Millions: 43
- Thousands: 723
- Units: 643
Underlined 4 is the first digit of 43 → that’s *ten millions* place → part of the Millions period
Part 3: Tell which digit is in the given place value.
We’re asked to identify the *digit*, not its value.
9. In 65,637, which digit is in the *ten thousands* place?
Write places:
- 6 = ten thousands
- 5 = thousands
- 6 = hundreds
- 3 = tens
- 7 = ones
→ Digit = 6
10. In 43,863,534, which digit is in the *millions* place?
Break: 43 (millions), 863 (thousands), 534 (units)
Millions period: 43 → 4 = ten millions, 3 = millions
So digit in *millions* place = 3
11. In 32, which digit is in the *tens* place?
3 = tens, 2 = ones → digit = 3
12. In 795,321, which digit is in the *hundred thousands* place?
Number: 795,321
Places:
- 7 = hundred thousands
- 9 = ten thousands
- 5 = thousands
- 3 = hundreds
- 2 = tens
- 1 = ones
→ digit = 7
Now double-check all:
1. 300 ✔
2. 300,000 ✔
3. 8,000 ✔
4. 5,000,000 ✔
5. Thousands period ✔
6. Units period ✔
7. Units period ✔
8. Millions period ✔
9. 6 ✔
10. 3 ✔
11. 3 ✔
12. 7 ✔
All correct.
Final Answer:
1. 300
2. 300,000
3. 8,000
4. 5,000,000
5. Thousands period
6. Units period
7. Units period
8. Millions period
9. 6
10. 3
11. 3
12. 7
Let’s go step by step through each question.
Part 1: Find the value of the underlined digit.
Remember: The *value* of a digit is the digit × its place value (e.g., 3 in the thousands place = 3 × 1,000 = 3,000).
1. 65 3̲17 — The underlined digit is 3, and it's in the *hundreds* place (since we have: 6 ten-thousands, 5 thousands, 3 hundreds, 1 ten, 7 ones).
So value = 3 × 100 = 300
2. 30 3̲48 630 — Let’s write with commas for clarity: 30,348,630
Places (from right):
- 0 = ones
- 3 = tens
- 6 = hundreds
- 8 = thousands
- 4 = ten thousands
- 3 = hundred thousands
- 0 = millions
- 3 = ten millions
So the underlined 3 is in the *hundred thousands* place → 3 × 100,000 = 300,000
3. 8̲ 275 — Underlined digit is 8, and it's the leftmost digit. Number is 8,275 → 8 is in the *thousands* place.
Value = 8 × 1,000 = 8,000
4. 5̲ 438 632 — Number: 5,438,632
From right:
- 2 = ones
- 3 = tens
- 6 = hundreds
- 8 = thousands
- 3 = ten thousands
- 4 = hundred thousands
- 5 = millions
So value = 5 × 1,000,000 = 5,000,000
Part 2: Identify the *period* that each underlined digit is in.
Recall periods:
- Units period: ones, tens, hundreds
- Thousands period: thousands, ten thousands, hundred thousands
- Millions period: millions, ten millions, hundred millions
5. 2 73̲5 234 — Number: 2,735,234
Underlined digit is 5. Let’s locate:
- 2,735,234 → break into periods:
- Millions: 2
- Thousands: 735
- Units: 234
So digits in 735 are: 7 = hundred thousands, 3 = ten thousands, 5 = thousands
→ Thousands period
6. 193 46̲4 — Number: 193,464
Break:
- Thousands: 193
- Units: 464
Digits in 464: 4 = hundreds, 6 = tens, 4 = ones
So underlined 4 is in the *ones* place → Units period
7. 7̲38 — Number: 738
Only three digits: 7 = hundreds, 3 = tens, 8 = ones
Underlined 7 is in the *hundreds* place → still in the Units period (since units period includes hundreds, tens, ones)
8. 4̲3 723 643 — Number: 43,723,643
Break into periods:
- Millions: 43
- Thousands: 723
- Units: 643
Underlined 4 is the first digit of 43 → that’s *ten millions* place → part of the Millions period
Part 3: Tell which digit is in the given place value.
We’re asked to identify the *digit*, not its value.
9. In 65,637, which digit is in the *ten thousands* place?
Write places:
- 6 = ten thousands
- 5 = thousands
- 6 = hundreds
- 3 = tens
- 7 = ones
→ Digit = 6
10. In 43,863,534, which digit is in the *millions* place?
Break: 43 (millions), 863 (thousands), 534 (units)
Millions period: 43 → 4 = ten millions, 3 = millions
So digit in *millions* place = 3
11. In 32, which digit is in the *tens* place?
3 = tens, 2 = ones → digit = 3
12. In 795,321, which digit is in the *hundred thousands* place?
Number: 795,321
Places:
- 7 = hundred thousands
- 9 = ten thousands
- 5 = thousands
- 3 = hundreds
- 2 = tens
- 1 = ones
→ digit = 7
Now double-check all:
1. 300 ✔
2. 300,000 ✔
3. 8,000 ✔
4. 5,000,000 ✔
5. Thousands period ✔
6. Units period ✔
7. Units period ✔
8. Millions period ✔
9. 6 ✔
10. 3 ✔
11. 3 ✔
12. 7 ✔
All correct.
Final Answer:
1. 300
2. 300,000
3. 8,000
4. 5,000,000
5. Thousands period
6. Units period
7. Units period
8. Millions period
9. 6
10. 3
11. 3
12. 7
Parent Tip: Review the logic above to help your child master the concept of place value worksheet with millions.