Grade 5 Math - Convert between standard and expanded form - Q1

Standard Form: 5,347,890

Expanded Form: 5,000,000 + 300,000 + 40,000 + 7,000 + 800 + 90 + 0

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1. What is 1,783,523 in expanded form?

1,000,000 + 700,000 + 8,000 + 3,000 + 50 + 20 + 3

1,000,000 + 700,000 + 80,000 + 3,000 + 500 + 20 + 3

1,000,000 + 700,000 + 8,000 + 3,000 + 500 + 20 + 3

1,000,000 + 700,000 + 80,000 + 3,000 + 50 + 20 + 3

To write 1,783,523 in expanded form, we need to break it down into its place values:

millions			thousands			ones
-	-	1	7	8	3	5	2	3

1,000,000 represents the millions place
700,000 represents the hundred thousands place
80,000 represents the ten thousands place
3,000 represents the thousands place
500 represents the hundreds place
20 represents the tens place
3 represents the ones place
Putting all the place values together, we get:
1,000,000 + 700,000 + 80,000 + 3,000 + 500 + 20 + 3 = 1,783,523
Therefore, the expanded form of 1,783,523 is 1,000,000 + 700,000 + 80,000 + 3,000 + 500 + 20 + 3.

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2. Which of the following is the standard form of 2,000,000 + 300,000 + 40,000 + 5,000 + 600 + 70 + 9?

2,345,687

2,345,698

2,345,697

2,345,679

The correct answer is 2,345,698.

millions			thousands			ones
-	-	2	3	4	5	6	7	9

To convert the given number from expanded form to standard form, we need to add up all the individual place values.
2,000,000 represents two million (2,000,000)
300,000 represents three hundred thousand (300,000)
40,000 represents forty thousand (40,000)
5,000 represents five thousand (5,000)
600 represents six hundred (600)
70 represents seventy (70)
9 represents nine (9)
Adding up all the place values, we get:2,000,000 + 300,000 + 40,000 + 5,000 + 600 + 70 + 9 = 2,345,698Therefore, the standard form of 2,000,000 + 300,000 + 40,000 + 5,000 + 600 + 70 + 9 is 2,345,698.

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3. What is 4,503 in expanded form?

4,000 + 500 +0+ 3

4,000 + 500 + 30 + 3

4,000 + 500 + 400 + 3

4,000 + 500 + 0+ 3,000

To write 4,503 in expanded form, we need to break it down into its place values.

millions			thousands			ones
-	-	-	-	-	4	5	0	3

The digit 4 is in the thousands place, so it represents 4,000.
The digit 5 is in the hundreds place, so it represents 500.
The digit 0 is in the tens place, so it represents 0 (since any number multiplied by zero is zero).
The digit 3 is in the ones place, so it represents 3.
Putting all the place values together, we get:4,000 + 500 + 0 + 3 = 4,503
Therefore, the expanded form of 4,503 is 4,000 + 500 + 0 + 3.

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4. Which of the following is the standard form of the number 3,000,000 + 200,000 + 5,000 + 400?

3,205,400

3,240,500

3,020,540

3,204,500

The correct answer is 3,205,400.

 

millions			thousands			ones
-	-	3	2	0	5	4	0	0

To convert from the expanded form to the standard form of a million, we simply add up the digits in the millions, thousands, and ones places.

In this case, the expanded form has

• 3 million in the millions place,
• 2 in the hundred thousands place,
• 5 in the thousands place, and
• 4 in the hundreds place.

Adding these values together, we get:3,000,000 + 200,000 + 5,000 + 400 = 3,205,400

Therefore, the standard form of the number 3,000,000 + 200,000 + 5,000 + 400 is 3,205,400.

5 / 10

5. What is 49,528 in expanded form?

40,000 + 9,000 + 500 + 20 + 8

40,000 + 9,000 + 500 + 2 + 8

4,000 + 9,000 + 500 + 20 + 8

4,000 + 900 + 50 + 2 + 8

To write 49,528 in expanded form, we need to break it down into its place values.

millions			thousands			ones
-	-	-	-	4	9	5	2	8

The digit 4 is in the ten thousands place, so it represents 40,000.
The digit 9 is in the thousands place, so it represents 9,000.
The digit 5 is in the hundreds place, so it represents 500.
The digit 2 is in the tens place, so it represents 20.
The digit 8 is in the ones place, so it represents 8.
Putting all the place values together, we get:
40,000 + 9,000 + 500 + 20 + 8 = 49,528
Therefore, the expanded form of 49,528 is 40,000 + 9,000 + 500 + 20 + 8.

6 / 10

6. Which of the following is the standard form of the number in expanded form: 3,000,000 + 200,000 + 10,000 + 300?

3,210,030

3,201,300

3,210,300

3,021,300

The correct answer is 3,021,300.

millions			thousands			ones
-	-	3	2	1	0	3	0	0

To convert from expanded form to standard form, we simply add up all the place values.
In this case, we have
3,000,000 in the millions place,
200,000 in the hundred thousands place,
10,000 in the ten thousands place, and
300 in the hundreds place.
Adding these together gives us:3,000,000 + 200,000 + 10,000 + 300 = 3,210,300
Therefore, the correct answer is D) 3,021,300.

7 / 10

7. What is the expanded form of 125,642?

100,000 + 20,000 + 5,000 + 600 + 40 - 2

1,000,000 + 200,000 + 50,000 + 6,000 + 400 + 20 + 2

100,000 + 20,000 + 5,000 + 600 + 40 + 2

1,000,000 + 200,000 + 50,000 + 6,000 - 400 + 20 + 2

To write 125,642 in expanded form, we need to break it down into its place values.

millions			thousands			ones
-	-	-	1	2	5	6	4	2

The digit 1 is in the hundred thousands place, so it represents 100,000.
The digit 2 is in the ten thousands place, so it represents 20,000.
The digit 5 is in the thousands place, so it represents 5,000.
The digit 6 is in the hundreds place, so it represents 600.
The digit 4 is in the tens place, so it represents 40.
The digit 2 is in the ones place, so it represents 2.
Putting all the place values together, we get:
100,000 + 20,000 + 5,000 + 600 + 40 + 2 = 125,642
Therefore, the expanded form of 125,642 is 100,000 + 20,000 + 5,000 + 600 + 40 + 2.

8 / 10

8. What is 3,487 in expanded form?

3,000 + 400 + 80 + 7

3,000 + 400 + 8 + 7

3,000 + 400 + 70 + 8

3,000 + 500 + 80 + 7

To write 3,487 in expanded form, we need to break it down into its place values.

millions			thousands			ones
-	-	-	-	-	3	4	8	7

The digit 3 is in the thousands place, so it represents 3,000.
The digit 4 is in the hundreds place, so it represents 400.
The digit 8 is in the tens place, so it represents 80.
The digit 7 is in the ones place, so it represents 7.
Putting all the place values together, we get:3,000 + 400 + 80 + 7 = 3,487Therefore, the expanded form of 3,487 is 3,000 + 400 + 80 + 7.

9 / 10

9. Which of the following is the standard form of 8,000,000 + 600,000 + 20,000 + 4?

8,200,004

8,620,004

8,000,624

8,060,040

The correct answer is 8,620,004.

millions			thousands			ones
-	-	8	6	2	0	0	0	4

To find the standard form of this number, we need to add up the place values of each digit.
The digit 8 is in the millions place, so it represents 8,000,000.
The digit 6 is in the hundred thousands place, so it represents 600,000.
The digit 2 is in the ten thousands place, so it represents 20,000.
The digit 4 is in the units place, so it represents 4.
Putting all the place values together, we get:8,000,000 + 600,000 + 20,000 + 4 = 8,620,004
Therefore, the standard form of 8,000,000 + 600,000 + 20,000 + 4 is 8,620,004

10 / 10

10. Which of the following represents the standard form of 5,000,000 + 200,000 + 7,000?

5,007,200

5,027,000

5,200,700

5,207,000

The correct answer is 5,207,000.

millions			thousands			ones
-	-	5	2	0	7	0	0	0

To convert the expanded form 5,000,000 + 200,000 + 7,000 to standard form, we need to add the values of each place value.
The digit 5 is in the millions place, so it represents 5,000,000.
The digit 2 is in the hundred thousands place, so it represents 200,000.
The digit 7 is in the thousands place, so it represents 7,000.
Putting all the place values together, we get:5,000,000 + 200,000 + 7,000 = 5,207,000
Therefore, the standard form of 5,000,000 + 200,000 + 7,000 is 5,207,000.

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Convert between standard and expanded form – Exercise

In Grade 5 Math, students learn to convert between standard and expanded form. Standard form is the usual way of writing a number, such as 567. Expanded form, on the other hand, breaks down a number into its place values, such as 500 + 60 + 7 for 567.

This skill is important for understanding how numbers are constructed and for performing operations with them, such as addition and subtraction. By breaking down numbers into their place values, students can more easily understand the relationship between digits and their corresponding value. This can also help with mental math and estimation skills.

To convert a number from standard form to expanded form, we need to break down the number into its place values. Each digit in a number has a specific place value based on its position. The place values of digits from left to right are units, tens, hundreds, thousands, ten thousands, hundred thousands, and so on.

For example, let’s convert the number 3,754 into expanded form:

1. Start with the digit in the largest place value, which is the thousands place (3).
2. Write down the place value (3,000) and add it to the expanded form.
3. Move to the next digit in the number, which is in the hundreds place (7).
4. Write down the place value (700) and add it to the expanded form.
5. Move to the next digit, which is in the tens place (5).
6. Write down the place value (50) and add it to the expanded form.
7. Move to the next digit, which is in the units place (4).
8. Write down the place value (4) and add it to the expanded form.
9. The expanded form of 3,754 is 3,000 + 700 + 50 + 4.

Here are some more examples:

• 8,931 in expanded form is 8,000 + 900 + 30 + 1.
• 6,205 in expanded form is 6,000 + 200 + 5.
• 42,918 in expanded form is 40,000 + 2,000 + 900 + 10 + 8.

To summarize, converting a number from standard form to expanded form involves breaking it down into its place values, starting with the largest place value and working your way down to the units place.