Place value worksheet for 5th-grade math practice, focusing on numbers up to 10 million.
Math worksheet titled "Place Value to 10 Million Sheet 3" with exercises on identifying place values, writing numbers in expanded and standard form, and converting words to figures.
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheet - up to 10 million
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheet - up to 10 million
Explanation:
Let's solve each part of the worksheet step by step.
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1) Write the place value of the underlined digit under each of the numbers.
We need to identify the place value of the underlined digit in each number.
- 4,328,046 → The 2 is in the ten thousands place → 20,000
- 3,280,615 → The 6 is in the hundreds place → 600
- 567,283 → The 8 is in the tens place → 80
- 9,236,184 → The 8 is in the tens place → 80
- 57,438 → The 4 is in the hundreds place → 400
- 6,391,373 → The 3 is in the hundred thousands place → 300,000
- 346,182 → The 1 is in the thousands place → 1,000
- 9,438,417 → The 4 is in the hundred thousands place → 400,000
- 2,382,435 → The 5 is in the ones place → 5
- 8,375,471 → The 4 is in the thousands place → 4,000
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2) Write these numbers in expanded form.
We break each number into its place values.
- 820,284 = 800,000 + 20,000 + 200 + 80 + 4
- 793,251 = 700,000 + 90,000 + 3,000 + 200 + 50 + 1
- 4,918,472 = 4,000,000 + 900,000 + 10,000 + 8,000 + 400 + 70 + 2
- 8,042,385 = 8,000,000 + 40,000 + 2,000 + 300 + 80 + 5
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3) Write these numbers in standard form.
We add the values together to get the standard number.
- 600,000 + 5,000 + 20,000 + 500 + 20 + 4 =
600,000 + 20,000 = 620,000
620,000 + 5,000 = 625,000
625,000 + 500 = 625,500
625,500 + 20 = 625,520
625,520 + 4 = 625,524
- 1,000,000 + 7,000 + 600,000 + 20 + 900 + 6 =
1,000,000 + 600,000 = 1,600,000
1,600,000 + 7,000 = 1,607,000
1,607,000 + 900 = 1,607,900
1,607,900 + 20 = 1,607,920
1,607,920 + 6 = 1,607,926
- 500,000 + 2,000,000 + 1,000 + 8 + 900 =
500,000 + 2,000,000 = 2,500,000
2,500,000 + 900 = 2,500,900
2,500,900 + 1,000 = 2,501,900
2,501,900 + 8 = 2,501,908
- 6,000,000 + 3,000 + 40,000 + 10 + 100 + 8 =
6,000,000 + 40,000 = 6,040,000
6,040,000 + 3,000 = 6,043,000
6,043,000 + 100 = 6,043,100
6,043,100 + 10 = 6,043,110
6,043,110 + 8 = 6,043,118
- 800,000 + 50,000 + 7,000,000 + 50 + 9 =
800,000 + 50,000 = 850,000
850,000 + 7,000,000 = 7,850,000
7,850,000 + 50 = 7,850,050
7,850,050 + 9 = 7,850,059
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4) Write these numbers in figures.
We convert the words into numbers.
- Three million, one hundred sixty-four thousand
→ 3,000,000 + 164,000 = 3,164,000
- Two million, twenty five thousand, six hundred seven
→ 2,000,000 + 25,000 + 607 = 2,025,607
- Nine million, two hundred five thousand, ninety-one
→ 9,000,000 + 205,000 + 91 = 9,205,091
---
Final Answer:
1)
- 4,328,046: 20,000
- 3,280,615: 600
- 567,283: 80
- 9,236,184: 80
- 57,438: 400
- 6,391,373: 300,000
- 346,182: 1,000
- 9,438,417: 400,000
- 2,382,435: 5
- 8,375,471: 4,000
2)
- 820,284 = 800,000 + 20,000 + 200 + 80 + 4
- 793,251 = 700,000 + 90,000 + 3,000 + 200 + 50 + 1
- 4,918,472 = 4,000,000 + 900,000 + 10,000 + 8,000 + 400 + 70 + 2
- 8,042,385 = 8,000,000 + 40,000 + 2,000 + 300 + 80 + 5
3)
- 600,000 + 5,000 + 20,000 + 500 + 20 + 4 = 625,524
- 1,000,000 + 7,000 + 600,000 + 20 + 900 + 6 = 1,607,926
- 500,000 + 2,000,000 + 1,000 + 8 + 900 = 2,501,908
- 6,000,000 + 3,000 + 40,000 + 10 + 100 + 8 = 6,043,118
- 800,000 + 50,000 + 7,000,000 + 50 + 9 = 7,850,059
4)
- Three million, one hundred sixty-four thousand = 3,164,000
- Two million, twenty five thousand, six hundred seven = 2,025,607
- Nine million, two hundred five thousand, ninety-one = 9,205,091
Let's solve each part of the worksheet step by step.
---
1) Write the place value of the underlined digit under each of the numbers.
We need to identify the place value of the underlined digit in each number.
- 4,328,046 → The 2 is in the ten thousands place → 20,000
- 3,280,615 → The 6 is in the hundreds place → 600
- 567,283 → The 8 is in the tens place → 80
- 9,236,184 → The 8 is in the tens place → 80
- 57,438 → The 4 is in the hundreds place → 400
- 6,391,373 → The 3 is in the hundred thousands place → 300,000
- 346,182 → The 1 is in the thousands place → 1,000
- 9,438,417 → The 4 is in the hundred thousands place → 400,000
- 2,382,435 → The 5 is in the ones place → 5
- 8,375,471 → The 4 is in the thousands place → 4,000
---
2) Write these numbers in expanded form.
We break each number into its place values.
- 820,284 = 800,000 + 20,000 + 200 + 80 + 4
- 793,251 = 700,000 + 90,000 + 3,000 + 200 + 50 + 1
- 4,918,472 = 4,000,000 + 900,000 + 10,000 + 8,000 + 400 + 70 + 2
- 8,042,385 = 8,000,000 + 40,000 + 2,000 + 300 + 80 + 5
---
3) Write these numbers in standard form.
We add the values together to get the standard number.
- 600,000 + 5,000 + 20,000 + 500 + 20 + 4 =
600,000 + 20,000 = 620,000
620,000 + 5,000 = 625,000
625,000 + 500 = 625,500
625,500 + 20 = 625,520
625,520 + 4 = 625,524
- 1,000,000 + 7,000 + 600,000 + 20 + 900 + 6 =
1,000,000 + 600,000 = 1,600,000
1,600,000 + 7,000 = 1,607,000
1,607,000 + 900 = 1,607,900
1,607,900 + 20 = 1,607,920
1,607,920 + 6 = 1,607,926
- 500,000 + 2,000,000 + 1,000 + 8 + 900 =
500,000 + 2,000,000 = 2,500,000
2,500,000 + 900 = 2,500,900
2,500,900 + 1,000 = 2,501,900
2,501,900 + 8 = 2,501,908
- 6,000,000 + 3,000 + 40,000 + 10 + 100 + 8 =
6,000,000 + 40,000 = 6,040,000
6,040,000 + 3,000 = 6,043,000
6,043,000 + 100 = 6,043,100
6,043,100 + 10 = 6,043,110
6,043,110 + 8 = 6,043,118
- 800,000 + 50,000 + 7,000,000 + 50 + 9 =
800,000 + 50,000 = 850,000
850,000 + 7,000,000 = 7,850,000
7,850,000 + 50 = 7,850,050
7,850,050 + 9 = 7,850,059
---
4) Write these numbers in figures.
We convert the words into numbers.
- Three million, one hundred sixty-four thousand
→ 3,000,000 + 164,000 = 3,164,000
- Two million, twenty five thousand, six hundred seven
→ 2,000,000 + 25,000 + 607 = 2,025,607
- Nine million, two hundred five thousand, ninety-one
→ 9,000,000 + 205,000 + 91 = 9,205,091
---
Final Answer:
1)
- 4,328,046: 20,000
- 3,280,615: 600
- 567,283: 80
- 9,236,184: 80
- 57,438: 400
- 6,391,373: 300,000
- 346,182: 1,000
- 9,438,417: 400,000
- 2,382,435: 5
- 8,375,471: 4,000
2)
- 820,284 = 800,000 + 20,000 + 200 + 80 + 4
- 793,251 = 700,000 + 90,000 + 3,000 + 200 + 50 + 1
- 4,918,472 = 4,000,000 + 900,000 + 10,000 + 8,000 + 400 + 70 + 2
- 8,042,385 = 8,000,000 + 40,000 + 2,000 + 300 + 80 + 5
3)
- 600,000 + 5,000 + 20,000 + 500 + 20 + 4 = 625,524
- 1,000,000 + 7,000 + 600,000 + 20 + 900 + 6 = 1,607,926
- 500,000 + 2,000,000 + 1,000 + 8 + 900 = 2,501,908
- 6,000,000 + 3,000 + 40,000 + 10 + 100 + 8 = 6,043,118
- 800,000 + 50,000 + 7,000,000 + 50 + 9 = 7,850,059
4)
- Three million, one hundred sixty-four thousand = 3,164,000
- Two million, twenty five thousand, six hundred seven = 2,025,607
- Nine million, two hundred five thousand, ninety-one = 9,205,091
Parent Tip: Review the logic above to help your child master the concept of place value worksheet words to.
