Place Value Question and Answer Format Word - Grade 2

Master place value concepts: tens and ones, number sense, and question-answer formats with these 10 detailed exercises and visual infographics.

Solution: Exercises 1 to 5
1 Tens and Ones
Exercise 1
What is the place value of each digit in the number 47?
Question: How many tens and how many ones are in 47?
Question Analysis:
In the number 47, we need to identify how many tens and how many ones make up this number.
Definition:

Place value: The value of a digit depends on its position in a number. In 2-digit numbers, the rightmost digit is the ones place and the leftmost digit is the tens place.

Method:
  1. Identify the position of each digit (tens and ones)
  2. Count how many tens and how many ones
  3. Write the expanded form
4
TENS
7
ONES
Step 1: Identify the digits and their positions

In 47: 4 is in the tens place, 7 is in the ones place

Step 2: Determine the value of each digit

4 in the tens place means 4 tens = 4 × 10 = 40

7 in the ones place means 7 ones = 7 × 1 = 7

Step 3: Write the expanded form

47 = 40 + 7 = 4 tens + 7 ones

47 has 4 tens and 7 ones
Final answer:

47 has 4 tens and 7 ones

Applied rules:

• Place value rule: Each position represents a power of 10

• Tens place: Represents groups of 10

• Ones place: Represents individual units

2 Expanded Form
Exercise 2
Write the number 83 in expanded form.
Question: What is 83 as the sum of its tens and ones?
Question Analysis:
We need to break down 83 into its tens and ones components.
Number
83
Expanded
80 + 3
Word form
8 tens + 3 ones
8
TENS
3
ONES
Step 1: Identify the tens and ones

In 83: 8 is in the tens place, 3 is in the ones place

Step 2: Calculate the value of each digit

8 tens = 8 × 10 = 80

3 ones = 3 × 1 = 3

Step 3: Write in expanded form

83 = 80 + 3

83 = 80 + 3
Final answer:

83 = 80 + 3 (8 tens and 3 ones)

Applied rules:

• Expanded form: Writing a number as the sum of the value of each digit

• Place value: Each digit's value is determined by its position

3 Base Ten Blocks
Exercise 3
Show the number 56 using base ten blocks.
Question: How many rods (tens) and units (ones) would you need for 56?
Question Analysis:
We need to represent 56 using visual models of tens and ones.
5
RODS (TENS)
6
UNITS (ONES)
Number
56
Blocks needed
5 rods + 6 units
Total value
50 + 6 = 56
Step 1: Identify tens and ones in 56

56 has 5 tens and 6 ones

Step 2: Represent with base ten blocks

Each rod represents 10, so we need 5 rods

Each unit represents 1, so we need 6 units

Step 3: Verify the total

5 rods = 5 × 10 = 50

6 units = 6 × 1 = 6

Total = 50 + 6 = 56

56 = 5 rods (tens) + 6 units (ones)
Final answer:

For 56, you need 5 rods (tens) and 6 units (ones)

Applied rules:

• Base ten blocks: Rods represent tens, units represent ones

• Visual representation: Helps understand the concept of grouping

Solution: Exercises 6 to 10
4 Comparing Values
Exercise 4
Which number has more tens: 42 or 38?
Question: Compare the tens place in 42 and 38.
Question Analysis:
We need to compare only the tens digits of both numbers.
4
TENS in 42
3
TENS in 38
42
4 tens
38
3 tens
Comparison
4 > 3
Step 1: Identify tens in each number

42: 4 is in the tens place

38: 3 is in the tens place

Step 2: Compare the tens digits

4 > 3

Step 3: Draw conclusion

Since 4 > 3, 42 has more tens than 38

42 has more tens than 38
Final answer:

42 has more tens (4 tens) than 38 (3 tens)

Applied rules:

• Place value comparison: Compare digits starting from the leftmost place

• Tens comparison: Focus only on the tens place when comparing tens

5 Regrouping
Exercise 5
How many tens are in the number 120?
Question: Express 120 in terms of tens.
Question Analysis:
We need to determine how many groups of 10 are in 120.
1
HUNDREDS
2
TENS
0
ONES
Number
120
In tens
12 tens
Verification
12 × 10 = 120
Step 1: Understand the relationship

Every 10 ones make 1 ten, every 10 tens make 1 hundred

Step 2: Convert 120 to tens

120 ÷ 10 = 12

So 120 = 12 tens

Step 3: Verify the conversion

12 × 10 = 120 ✓

120 = 12 tens
Final answer:

There are 12 tens in the number 120

Applied rules:

• Regrouping: Understanding that 10 of one place value equals 1 of the next higher place value

• Division relationship: Number ÷ 10 = number of tens

Place Value Visual Infographic
PLACE VALUE SYSTEM
🔢
1
HUNDRED
→
0
TEN
→
0
ONE
100 = 1 Hundred + 0 Tens + 0 Ones
2
HUNDRED
→
3
TEN
→
4
ONE
234 = 2 Hundreds + 3 Tens + 4 Ones
🔟
TENS PLACE
Represents groups of 10
📍
ONES PLACE
Represents individual units
💯
HUNDREDS PLACE
Represents groups of 100
10 Ones = 1 Ten
Regrouping Rule
10 Tens = 1 Hundred
Next Level Regrouping
Additional Exercises and Practice
Exercise 6
Question: If you have 3 tens and 5 ones, what number do you have?
Answer: 35
Exercise 7
Question: What is the value of the digit 8 in 84?
Answer: 80 (8 tens)
Exercise 8
Question: Write 67 in expanded form.
Answer: 60 + 7
Exercise 9
Question: How many tens are in 90?
Answer: 9 tens
Exercise 10
Question: Which is greater: 4 tens or 35 ones?
Answer: 4 tens (40) is greater than 35 ones
Key definitions:

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

Digit: Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Expanded form: Writing a number as the sum of the value of each digit

Place Value Methodology:
  1. Identify positions: Recognize the place value of each digit (ones, tens, hundreds...)
  2. Determine value: Multiply each digit by its place value (1, 10, 100...)
  3. Express in forms: Standard form, expanded form, word form
  4. Compare numbers: Compare digits starting from the highest place value
Tip 1: Remember: each place value is 10 times the value of the place to its right.
Tip 2: Use base ten blocks or drawings to visualize place value concepts.
Tip 3: Always read numbers from left to right, considering the place value of each digit.
Essential Rules:

• Position matters: The same digit has different values depending on its position

• Grouping by tens: Our number system is based on groups of 10

• Zero as placeholder: Zero holds place value even when there are no units in that position

Questions & Answers

Question: I don't understand why the number 53 has 5 tens and not 5 ones. Can you explain the difference between tens and ones?

Answer: Great question! The position of each digit determines its value:

  • In 53, the digit 5 is in the tens place (the second position from the right), so it represents 5 tens = 50
  • The digit 3 is in the ones place (the first position from the right), so it represents 3 ones = 3

Think of it like this: 53 = 50 + 3 = 5 tens + 3 ones. The place where the digit sits tells us its value. The tens place is worth 10 times more than the ones place.

Visual example: 53 is like having 5 bundles of 10 sticks and 3 individual sticks.

Question: My child is struggling with expanded form. How do I help them understand that 47 = 40 + 7?

Answer: Try using concrete materials to make it visual:

  • Use base ten blocks: 4 rods (each representing 10) and 7 units (each representing 1)
  • Count the total: 4 rods = 40, 7 units = 7, together they equal 47
  • Show that 40 + 7 = 47

You can also use money: 4 dimes (40 cents) + 7 pennies (7 cents) = 47 cents. This helps children connect the abstract concept to something tangible.

Practice with various numbers until the pattern becomes clear: tens digit × 10 + ones digit × 1.

Question: How can I teach my child to compare numbers using place value? For example, which is greater: 34 or 37?

Answer: Teach the systematic approach of comparing place values from left to right:

  • Start with the highest place value (tens place in 2-digit numbers)
  • If the digits in the highest place are the same, move to the next place value
  • Continue until you find a difference

For 34 vs 37: Both have 3 in the tens place, so we compare the ones place: 4 vs 7. Since 7 > 4, then 37 > 34.

Practice with visual aids like place value charts to reinforce this method.