Place Value Whole Numbers exercise - Free Printable
Educational worksheet: Place Value Whole Numbers exercise. Download and print for classroom or home learning activities.
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Step-by-step solution for: Place Value Whole Numbers exercise
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Whole Numbers exercise
Let's solve each question on the worksheet step by step and explain the reasoning.
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Answer: *period*
Explanation: In large numbers, digits are grouped into sets of three, starting from the right. These groups are called periods. For example, in 1,234,567, the periods are "ones" (567), "thousands" (234), and "millions" (1).
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Answer: *digits*
Explanation: These are the basic symbols used to represent numbers. They are called digits, and together they form all whole numbers.
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We need to identify which period (group of three digits) is underlined.
#### 3) 865 467
- The underlined part is 865.
- This is the leftmost group, so it's the thousands period.
- Answer: *thousands*
> Note: The number is written as 865,467 → 865 thousand, 467 → so 865 is in the thousands period.
#### 4) 34 000 754
- Underlined: 34
- The full number is 34,000,754 → broken into: 34 million, 000 thousand, 754
- So, 34 is in the millions period.
- Answer: *millions*
#### 5) 321 986 365 100
- Underlined: 321
- Number: 321,986,365,100
- Periods from right:
- 100 → ones
- 365 → thousands
- 986 → millions
- 321 → billions
- So, 321 is in the billions period.
- Answer: *billions*
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Place value means the value of the digit based on its position.
#### 6) 487
- Digit 4 is in the hundreds place.
- Place value = 400
- Answer: *400*
#### 7) 5 421 732
- Write with commas: 5,421,732
- Positions:
- 5 → millions
- 4 → hundred thousands
- So, 4 is in the hundred thousands place.
- Place value = 400,000
- Answer: *400,000*
#### 8) 43 965 001
- Number: 43,965,001
- Break down:
- 43 → millions
- 965 → thousands
- 001 → ones
- The digit 4 is in the ten millions place.
- Place value = 40,000,000
- Answer: *40,000,000*
#### 9) 4 289 103 257
- Number: 4,289,103,257
- Break down:
- 4 → billions
- 289 → millions
- 103 → thousands
- 257 → ones
- The digit 4 is in the billions place.
- Place value = 4,000,000,000
- Answer: *4,000,000,000*
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#### 10) Which of the following shows 74 thousand, 54 in standard form?
- 74 thousand = 74,000
- Add 54 → 74,000 + 54 = 74,054
- Answer: *b) 74 054*
> Note: Option d says "74 000 54" — that’s incorrect formatting; it would be 74,000,54 (which is 74 million, not 74 thousand). So b is correct.
#### 11) Which of the following shows 400 million in standard form?
- 400 million = 400 × 1,000,000 = 400,000,000
- Answer: *c) 400 000 000*
> Note: 400 million = 400,000,000 (nine digits), not 40,000,000 (eight digits). So c is correct.
#### 12) Which of the following shows 9 billion, 589 thousand, 768 in standard form?
Break it down:
- 9 billion = 9,000,000,000
- 589 thousand = 589,000
- 768 = 768
- Add them:
9,000,000,000 + 589,000 + 768 = 9,000,589,768
Now check options:
a) 9 000 589 768 → 9,000,589,768 ✔
b) 9 589 768 → too small
c) 9 589 000 768 → 9,589,000,768 → wrong
d) 9 598 768 000 → 9,598,768,000 → wrong
So a) is correct.
But wait! Let's write the number properly:
- 9 billion = 9,000,000,000
- 589 thousand = 589,000
- 768 = 768
- Total: 9,000,589,768
Now look at option a): 9 000 589 768 → this is 9,000,589,768 → YES!
But in some formats, spaces are used instead of commas.
So Answer: *a) 9 000 589 768*
> Note: Option c says “9 589 000 768” — that’s 9,589,000,768 — which is 9 billion 589 million 768, not what we want.
So a is correct.
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1) period
2) digits
3) thousands
4) millions
5) billions
6) 400
7) 400,000
8) 40,000,000
9) 4,000,000,000
10) b) 74 054
11) c) 400 000 000
12) a) 9 000 589 768
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Let me know if you'd like this formatted as a printable answer key!
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1) Each group of three digits separated by a space or a comma in a large number is called a _________.
Answer: *period*
Explanation: In large numbers, digits are grouped into sets of three, starting from the right. These groups are called periods. For example, in 1,234,567, the periods are "ones" (567), "thousands" (234), and "millions" (1).
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2) The symbols 1, 2, 3, 4, 5, 6, 7, 8, and 9 are called _____________.
Answer: *digits*
Explanation: These are the basic symbols used to represent numbers. They are called digits, and together they form all whole numbers.
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Identify the underlined period as either thousands, ones, billions, or millions.
We need to identify which period (group of three digits) is underlined.
#### 3) 865 467
- The underlined part is 865.
- This is the leftmost group, so it's the thousands period.
- Answer: *thousands*
> Note: The number is written as 865,467 → 865 thousand, 467 → so 865 is in the thousands period.
#### 4) 34 000 754
- Underlined: 34
- The full number is 34,000,754 → broken into: 34 million, 000 thousand, 754
- So, 34 is in the millions period.
- Answer: *millions*
#### 5) 321 986 365 100
- Underlined: 321
- Number: 321,986,365,100
- Periods from right:
- 100 → ones
- 365 → thousands
- 986 → millions
- 321 → billions
- So, 321 is in the billions period.
- Answer: *billions*
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Write the place value of the digit 4 in the following numbers.
Place value means the value of the digit based on its position.
#### 6) 487
- Digit 4 is in the hundreds place.
- Place value = 400
- Answer: *400*
#### 7) 5 421 732
- Write with commas: 5,421,732
- Positions:
- 5 → millions
- 4 → hundred thousands
- So, 4 is in the hundred thousands place.
- Place value = 400,000
- Answer: *400,000*
#### 8) 43 965 001
- Number: 43,965,001
- Break down:
- 43 → millions
- 965 → thousands
- 001 → ones
- The digit 4 is in the ten millions place.
- Place value = 40,000,000
- Answer: *40,000,000*
#### 9) 4 289 103 257
- Number: 4,289,103,257
- Break down:
- 4 → billions
- 289 → millions
- 103 → thousands
- 257 → ones
- The digit 4 is in the billions place.
- Place value = 4,000,000,000
- Answer: *4,000,000,000*
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Choose the number in each group that is correct.
#### 10) Which of the following shows 74 thousand, 54 in standard form?
- 74 thousand = 74,000
- Add 54 → 74,000 + 54 = 74,054
- Answer: *b) 74 054*
> Note: Option d says "74 000 54" — that’s incorrect formatting; it would be 74,000,54 (which is 74 million, not 74 thousand). So b is correct.
#### 11) Which of the following shows 400 million in standard form?
- 400 million = 400 × 1,000,000 = 400,000,000
- Answer: *c) 400 000 000*
> Note: 400 million = 400,000,000 (nine digits), not 40,000,000 (eight digits). So c is correct.
#### 12) Which of the following shows 9 billion, 589 thousand, 768 in standard form?
Break it down:
- 9 billion = 9,000,000,000
- 589 thousand = 589,000
- 768 = 768
- Add them:
9,000,000,000 + 589,000 + 768 = 9,000,589,768
Now check options:
a) 9 000 589 768 → 9,000,589,768 ✔
b) 9 589 768 → too small
c) 9 589 000 768 → 9,589,000,768 → wrong
d) 9 598 768 000 → 9,598,768,000 → wrong
So a) is correct.
But wait! Let's write the number properly:
- 9 billion = 9,000,000,000
- 589 thousand = 589,000
- 768 = 768
- Total: 9,000,589,768
Now look at option a): 9 000 589 768 → this is 9,000,589,768 → YES!
But in some formats, spaces are used instead of commas.
So Answer: *a) 9 000 589 768*
> Note: Option c says “9 589 000 768” — that’s 9,589,000,768 — which is 9 billion 589 million 768, not what we want.
So a is correct.
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✔ Final Answers:
1) period
2) digits
3) thousands
4) millions
5) billions
6) 400
7) 400,000
8) 40,000,000
9) 4,000,000,000
10) b) 74 054
11) c) 400 000 000
12) a) 9 000 589 768
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of place values in whole numbers worksheet.