Grade 2Mathmedium
Place Value Practice - Tens and Ones
Practice identifying place values, expanded form, and representing numbers up to 99 in different ways
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What Your Child Will Learn
- Identify the value of digits in the tens and ones places for numbers up to 99
- Convert between standard form and expanded form notation (e.g., 47 = 40 + 7)
- Represent two-digit numbers using base-ten blocks, place value charts, and written forms
- Compare the value of digits based on their position in tens and ones places
- Decompose numbers up to 99 into tens and ones components accurately
How to Use This Worksheet
- Step 1: Review the concept by having your child identify which digit is in the tens place and ones place for a sample number like 56
- Step 2: Work through the first few problems together, verbalizing the process: 'In 73, the 7 is in the tens place worth 70, and the 3 is in the ones place worth 3'
- Step 3: For expanded form problems, help your child break numbers apart by covering the ones digit first to see the tens value, then uncovering to add the ones
- Step 4: Use different representation problems to reinforce understanding - have your child draw base-ten blocks or use actual manipulatives alongside the worksheet
- Step 5: Check answers by having your child explain their reasoning and convert back and forth between different forms of the same number
Tips for Parents & Teachers
Use physical manipulatives like base-ten blocks or bundles of straws to make the concept concrete - let children physically group 10 ones into 1 ten to understand place value relationships
Watch for the common mistake where students confuse the digit with its value (saying '4' instead of '40' for the tens place) - emphasize that the tens digit represents groups of ten
When teaching expanded form, start with smaller numbers and use the phrase 'plus' instead of the '+' symbol initially to help students understand they're adding tens and ones together
If students struggle with larger numbers like 80-99, have them count by tens first (10, 20, 30...90) then add the ones to build confidence with two-digit number structure
Frequently Asked Questions
Why does my child keep saying '3' instead of '30' when identifying the tens place value?
This is very common! Children often confuse the digit (3) with its place value (30). Use concrete examples like 3 groups of 10 blocks to show that the digit 3 in the tens place represents 30 individual items. Practice saying 'The digit 3 is worth 30 because it's in the tens place.'
How can I help my child understand expanded form when they're still learning addition?
Start by using the word 'and' instead of '+' (like '40 and 7 makes 47') and use visual aids. Show them that expanded form is just breaking apart a number into its tens and ones parts, like taking apart a toy to see how it's built, then putting it back together.
My child gets confused between numbers like 17 and 71. How can I help them see the difference?
This place value confusion is normal. Use a place value chart with clear tens and ones columns, and emphasize that position matters. For 17, show 1 ten and 7 ones. For 71, show 7 tens and 1 one. Have them build both numbers with manipulatives to see the dramatic difference in quantity.
Should my second grader memorize place value rules or understand the concept first?
Understanding should always come before memorization. Let them explore with hands-on materials, group objects by tens, and see patterns naturally. Once they understand that 10 ones make 1 ten, the rules about place value will make sense rather than being abstract facts to memorize.
What if my child can identify place values but struggles with the different representations of numbers?
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