Standard Form Questions Corbettmaths - Place Value Concepts

Corbettmaths-style standard form exercises for Grade 1: understanding place value systems, expanded notation, and step-by-step problem solving techniques.

Solution: Exercises 1 to 3
1 Understanding Standard Form
Exercise 1
Write the number 583 in standard form.
Break it down into expanded form showing hundreds, tens, and ones.
Definition:

Standard form: Writing a number in its usual way (e.g., 583)

Expanded form: Breaking apart by place value (e.g., 500 + 80 + 3)

Place value method:
  1. Look at each digit in the number
  2. Identify the place value of each digit (hundreds, tens, ones)
  3. Count how many hundreds, tens, and ones
  4. Write the standard form
Number
583
Expanded
500 + 80 + 3
Standard
583
Step 1: Identify the digits

In 583, we have digit 5, digit 8, and digit 3

Step 2: Identify place values

Digit 5 is in the HUNDREDS place, Digit 8 is in the TENS place, Digit 3 is in the ONES place

Step 3: Count hundreds, tens, and ones

5 hundreds = 500, 8 tens = 80, 3 ones = 3

Step 4: Write in standard form

583 is already in standard form

Hundreds
5
Tens
8
Ones
3
583 = 5 hundreds, 8 tens, and 3 ones
Final answer:

583 in standard form is five hundred eighty-three

It has 5 hundreds, 8 tens, and 3 ones

Applied rules:

• Place value: Each position has a different value

• Standard form: The normal way we write numbers

• Hundreds, tens, ones: Count groups of 100, 10, and 1

2 Converting Expanded to Standard
Exercise 2
Convert 700 + 40 + 9 to standard form.
Show the process step by step.
Definition:

Expanded form: 700 + 40 + 9 (showing hundreds, tens, and ones separately)

Standard form: 749 (the combined number)

Expanded
700 + 40 + 9
Addition
749
Standard
749
Step 1: Identify hundreds, tens, and ones

700 = 7 hundreds, 40 = 4 tens, 9 = 9 ones

Step 2: Combine hundreds, tens, and ones

7 hundreds + 4 tens + 9 ones = 749

Step 3: Write in standard form

749 is the standard form

7
hundreds
→
4
tens
→
9
ones
→
749
standard
Hundreds
7
Tens
4
Ones
9
Standard
749
700 + 40 + 9 = 749 in standard form
Final answer:

700 + 40 + 9 = 749 in standard form

749 has 7 hundreds, 4 tens, and 9 ones

Applied rules:

• Combining place values: Add hundreds, tens, and ones together

• Standard form: Write the total number

• Addition: 700 + 40 + 9 = 749

3 Word Problem to Standard Form
Exercise 3
Sarah has 3 hundreds, 5 tens, and 2 ones. What number does she have?
Write in standard form.
Definition:

Word problems: Convert words to mathematical expressions

Standard form: The final numerical answer

Given
3 hundreds + 5 tens + 2 ones
Convert
300 + 50 + 2
Standard
352
Step 1: Understand the problem

Sarah has 3 hundreds, 5 tens, and 2 ones

Step 2: Convert to numbers

3 hundreds = 3 × 100 = 300

5 tens = 5 × 10 = 50

2 ones = 2 × 1 = 2

Step 3: Add together

300 + 50 + 2 = 352

Step 4: Write in standard form

The standard form is 352

3
hundreds
→
5
tens
→
2
ones
→
352
standard
Hundreds
3
Tens
5
Ones
2
Standard
352
3 hundreds + 5 tens + 2 ones = 352 in standard form
Final answer:

Sarah has 352 in standard form

352 has 3 hundreds, 5 tens, and 2 ones

Applied rules:

• Word to number: Convert "3 hundreds" to 300

• Place value: 3 hundreds = 300, 5 tens = 50, 2 ones = 2

• Standard form: 300 + 50 + 2 = 352

Corbettmaths Style Place Value Rules and Methods
Standard = Hundreds + Tens + Ones
Place Value Formula
Hundreds Place
Hundreds × 100
Each hundreds digit represents groups of 100
Tens Place
Tens × 10
Each tens digit represents groups of 10
Ones Place
Ones × 1
Each ones digit represents individual units
Key definitions:

Place Value: The value of a digit based on its position

Standard Form: Writing numbers in their usual way (e.g., 354)

Expanded Form: Showing the value of each digit (e.g., 300 + 50 + 4)

Complete methodology:
  1. Identify digits: Look at each digit in the number
  2. Find place values: Determine if digit is in hundreds, tens, or ones place
  3. Calculate values: Multiply by place value (100 for hundreds, 10 for tens, 1 for ones)
  4. Combine: Add to get the standard form
Tip 1: Remember: hundreds are groups of 100, tens are groups of 10, ones are individual units.
Tip 2: The leftmost digit is usually the hundreds place in three-digit numbers.
Tip 3: Always count hundreds first, then tens, then ones.
Tip 4: Draw pictures to visualize hundreds, tens, and ones.
Common errors: Mixing up hundreds, tens, and ones places, forgetting to multiply by 100 or 10.
Exam preparation: Practice converting between expanded and standard forms.
Formulas to know by heart:

• Hundreds digit × 100 = hundreds value

• Tens digit × 10 = tens value

• Ones digit × 1 = ones value

• Standard form = hundreds value + tens value + ones value

Corbettmaths Approach:

Step-by-step Solutions: Always show each step clearly

Methodical Working: Write out the process in detail

Verification: Check your answers by converting back

Practice Questions: Work through multiple examples

Solution: Exercises 4 to 5
4 Mixed Practice
Exercise 4
Convert these to standard form:
a) 4 hundreds + 6 tens + 8 ones
b) 200 + 30 + 7
c) 900 + 0 + 5
Definition:

Standard form conversion: Combining hundreds, tens, and ones into one number

Part A
4 hundreds + 6 tens + 8 ones
Convert
400 + 60 + 8
Standard
468
Step 1: Part A - 4 hundreds + 6 tens + 8 ones

4 hundreds = 4 × 100 = 400

6 tens = 6 × 10 = 60

8 ones = 8 × 1 = 8

400 + 60 + 8 = 468

Step 2: Part B - 200 + 30 + 7

This is expanded form: 200 + 30 + 7 = 237

237 has 2 hundreds, 3 tens, and 7 ones

Step 3: Part C - 900 + 0 + 5

This is expanded form: 900 + 0 + 5 = 905

905 has 9 hundreds, 0 tens, and 5 ones

Part A
468
Part B
237
Part C
905
a) 468, b) 237, c) 905
Final answer:

a) 4 hundreds + 6 tens + 8 ones = 468

b) 200 + 30 + 7 = 237

c) 900 + 0 + 5 = 905

Applied rules:

• Conversion: 4 hundreds = 400, 6 tens = 60, 8 ones = 8

• Addition: 400 + 60 + 8 = 468

• Standard form: Write as single number

5 Advanced Application
Exercise 5
Tom has 684 stickers. Write this in expanded form.
Then convert back to standard form to verify.
Definition:

Expanded form: Breaking apart by place value

Verification: Converting back to check accuracy

Standard
684
Expanded
600 + 80 + 4
Verify
684
Step 1: Analyze 684

6 is in hundreds place, 8 is in tens place, 4 is in ones place

Step 2: Write expanded form

6 hundreds = 600, 8 tens = 80, 4 ones = 4

Expanded form: 600 + 80 + 4

Step 3: Convert back to standard

600 + 80 + 4 = 684

Step 4: Verify

We started with 684 and got back 684 ✓

6
hundreds
→
8
tens
→
4
ones
→
684
standard
Standard
684
Expanded
600+80+4
Verify
684
684 = 600 + 80 + 4 (expanded) = 684 (standard)
Final answer:

684 in expanded form is 600 + 80 + 4

Verification: 600 + 80 + 4 = 684 ✓

Applied rules:

• Expanded form: Separate by place value

• Verification: Always check by converting back

• Place value: 6 hundreds = 600, 8 tens = 80, 4 ones = 4

Corbettmaths Style Detailed Summary
Standard = (Hundreds × 100) + (Tens × 10) + (Ones × 1)
Place Value Formula
Key definitions:

Place Value: The value of a digit based on its position in a number

Standard Form: Writing numbers in their usual way (e.g., 234, 567, 891)

Expanded Form: Showing the value of each digit separately (e.g., 200 + 30 + 4, 500 + 60 + 7)

Hundreds Place: The third digit from the right (represents groups of 100)

Tens Place: The second digit from the right (represents groups of 10)

Ones Place: The rightmost digit (represents individual units)

Complete methodology:
  1. Identify the number: Look at the given number
  2. Separate digits: Identify each digit in the number
  3. Assign place values: Determine if each digit is in hundreds, tens, or ones place
  4. Calculate values: Multiply each digit by its place value
  5. Combine values: Add the place values together
  6. Write standard form: Present the final number
Tip 1: Use base-10 blocks to visualize hundreds, tens, and ones.
Tip 2: Remember: 1 hundred = 100 ones, 1 ten = 10 ones.
Tip 3: Always check your work by converting back.
Tip 4: Draw lines under hundreds, tens, and ones to keep track.
Tip 5: Practice counting by hundreds: 100, 200, 300...
Common errors: Forgetting to multiply by 100 or 10, mixing up place positions.
Memory aid: "Hundreds are biggest" - the leftmost digit is usually largest.
Practice pattern: Start with small numbers, increase gradually.
Essential formulas:

• Hundreds digit × 100 = hundreds value

• Tens digit × 10 = tens value

• Ones digit × 1 = ones value

• Standard form = hundreds value + tens value + ones value

• Expanded form = (hundreds × 100) + (tens × 10) + (ones × 1)

• Verification: standard form → expanded form → standard form

Examples: 456 = 4×100 + 5×10 + 6×1 = 400 + 50 + 6
Standard Form Examples
Example 1
235 = 200 + 30 + 5
2 hundreds, 3 tens, and 5 ones
Example 2
573 = 500 + 70 + 3
5 hundreds, 7 tens, and 3 ones
Example 3
820 = 800 + 20 + 0
8 hundreds, 2 tens, and 0 ones
Corbettmaths Teaching Points:

Methodical Working: Always show each step clearly and systematically

Verification: Check your answers by converting back and forth

Practice: Work through multiple examples to build confidence

Visualization: Use drawings or manipulatives to understand place value

Key Takeaways:

Memorize: Place value positions from right to left: ones, tens, hundreds...

Remember: Each place is 10 times the value of the place to its right

Practice: Regularly convert between standard and expanded forms

Verify: Always check your answers by converting back and forth

Visualize: Use drawings or manipulatives to understand place value

Questions & Answers

Question: I don't understand why 583 is different from 385. They have the same digits, don't they?

Answer: Great observation! While 583 and 385 use the same digits (5, 8, 3), their positions make them completely different numbers:

  • In 583: The 5 is in the HUNDREDS place, the 8 is in the TENS place, and the 3 is in the ONES place
  • This means: 5 hundreds (500) + 8 tens (80) + 3 ones (3) = 583
  • In 385: The 3 is in the HUNDREDS place, the 8 is in the TENS place, and the 5 is in the ONES place
  • This means: 3 hundreds (300) + 8 tens (80) + 5 ones (5) = 385

Think of it like money: 5 dollars, 8 dimes, and 3 pennies is very different from 3 dollars, 8 dimes, and 5 pennies!

The position of each digit tells us its value - this is called PLACE VALUE.

Question: How do I know which digit is the hundreds, tens, and ones?

Answer: Here's an easy way to remember:

  • Ones place: Always the RIGHTMOST digit (closest to the decimal point)
  • Tens place: The digit immediately to the LEFT of the ones place
  • Hundreds place: The digit immediately to the LEFT of the tens place
  • You can also think: "The ONES place has ONE digit, and it's on the right!"

For example, in 684:

  • 4 is in the ONES place (rightmost)
  • 8 is in the TENS place (middle)
  • 6 is in the HUNDREDS place (leftmost)

Draw a line under each digit to help keep track!

Question: Why do we need to learn expanded form? Isn't standard form easier?

Answer: Great question! Both forms are important for different reasons:

  • Standard form: Yes, it's easier to write and read (like 584)
  • Expanded form: It helps you UNDERSTAND what the number really means (500 + 80 + 4)
  • Expanded form builds a strong foundation for addition, subtraction, and larger numbers

Think of it like learning to spell: knowing "c-a-t" helps you understand the word "cat" better!

When you get to bigger numbers like 1,234, expanded form (1000 + 200 + 30 + 4) becomes even more helpful.

Question: What happens when I have a number like 709? Does it still have hundreds, tens, and ones?

Answer: Yes! Even 709 has all three place values:

  • In 709: 7 is in the HUNDREDS place, 0 is in the TENS place, and 9 is in the ONES place
  • So 709 = 7 hundreds (700) + 0 tens (0) + 9 ones (9) = 709
  • The zero in the tens place is important - it holds the place!

If we didn't have the zero, we'd just have 79, which is completely different from 709.

Zero acts as a placeholder to show that number has no tens.

Question: How can I practice place value at home?

Answer: Here are fun ways to practice at home:

  1. Count objects: Group items into sets of 100, then 10, then individual units
  2. Use coins: Dollars are hundreds, dimes are tens, pennies are ones
  3. Play number games: Roll dice to make three-digit numbers
  4. Look at prices: Notice how $7.09 has 7 dollars, 0 dimes, 9 pennies
  5. Draw pictures: Sketch groups of 100, 10, and individual items

Make it a game! See who can find the biggest number in your house (page numbers, addresses, etc.) and identify the hundreds, tens, and ones.