Showing posts with label Place Value. Show all posts
Showing posts with label Place Value. Show all posts

Thursday, September 3, 2026

TEACHER ABI PSHS NCE · QUANTITATIVE ABILITY

Whole Numbers and Place Value

Read big numbers correctly, compare them quickly, round wisely, and use number sense to catch impossible answers.

Grade 6–7 friendly Worked examples Regular practice Quick Fire + Mastery
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Whole Numbers and Place Value

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Every digit has a job

Look at this number:

4,582,731

The digit 5 does not mean just “five.” Because it is in the hundred-thousands place, its value is 500,000.

Place = where the digit sits.
Value = what the digit is worth in that place.

So in 4,582,731:

8
ten-thousands place
80,000
2
thousands place
2,000
7
hundreds place
700
3
tens place
30
DO IT FAST

Use LOOK → COMPARE → CHECK

  1. LOOK: Start from the leftmost digit.
  2. COMPARE: The first place where the digits are different decides which number is greater.
  3. CHECK: If rounding or estimating, ask: “Is my answer close to the original number?”
Which is greater: 684,921 or 684,291?

The hundred-thousands, ten-thousands, and thousands digits are the same. Compare the hundreds: 9 > 2.

684,921 is greater. You do not need to compare the remaining digits.
WORKED EXAMPLES

Five patterns you should recognize

1. Place value

7,316,405

What is the value of the digit 3?

300,000. The 3 is in the hundred-thousands place.

2. Compare big numbers

Which is greater: 509,842 or 509,824?

Compare from the left. The first difference is in the tens place: 4 tens vs 2 tens.

509,842 is greater.

3. Round to the nearest thousand

Round 46,582 to the nearest thousand.

Look at the hundreds digit: 5. Five or more means round up.

47,000

4. Estimate before solving

About how much is 3,982 + 6,117?

Round to friendly numbers: 4,000 + 6,000.

About 10,000.

5. Catch an impossible answer

A student says 8,052 − 3,978 = 12,030.

Impossible. Subtracting a positive number from 8,052 cannot give an answer larger than 8,052.
TRY WITH ME

Compare without doing extra work

Which is greater?

672,418   or   672,481
  1. Are the hundred-thousands digits the same? Yes.
  2. Are the ten-thousands digits the same? Yes.
  3. Are the thousands digits the same? Yes.
  4. Now compare the hundreds digits: 4 and 4. Still tied.
  5. Compare the tens digits: 1 and 8.
672,481 is greater. The first different place is the tens place, and 8 tens is greater than 1 ten.
COMMON TRAPS

Watch out for these

Reading only the last digits.
Compare numbers from the left.
Mixing up place and value.
A digit 6 in the thousands place has value 6,000.
Rounding the wrong digit.
Look one place to the right of the place you are rounding.
Skipping estimation.
A quick estimate can expose a bad answer immediately.
REGULAR PRACTICE

Build the skill

Work carefully. These questions mix place value, comparison, rounding, and estimation.

QUICK FIRE

Can you spot it fast?

Five short questions. Try to answer each without writing a full solution.

Question 1 of 5
FRESH MASTERY CHECK

Can you do it without hints?

Score 5/5 to verify this competency. If you miss one, review the explanation and try the fresh set.

NEED HELP?

Not sure why a number question keeps catching you?

Send Teacher Abi your result. I can help you figure out which part of the skill needs more practice.

Message Teacher Abi
PSHS NCE REVIEW PATH

Choose your next step

Next competency: Factors, Multiples, and Divisibility

PSHS NCE Student Hub

Sunday, August 30, 2026

Lino & Saya’s Candy Store: Free Place Value Game for Numbers to 10,000

Aral Tayo Interactive Games

Lino & Saya’s Candy Store

Free Interactive Place Value Game — Numbers to 10,000

Lino and Saya Candy Store place value game main screen

Eight candy-store stations turn Grade 3 place value practice into short, hands-on missions—not one long multiple-choice quiz.

Play the Candy Store Game

Opens in a new tab. No download or installation needed.

What Is Lino & Saya’s Candy Store?

This free browser-based math game helps children practice place value and numbers to 10,000. Each station gives the child a different job inside the candy store: fill jars, match digit values, complete number equations, prepare customer orders, move boxes on a conveyor, operate a more-or-less machine, and repack candy into groups of ten.

The changing interactions matter. Children are not simply choosing A, B, or C over and over—they have to build, move, arrange, enter, exchange, and apply numbers in different ways.

Take a Look Inside the Game

The eight stations move from building numbers and understanding digit value to counting, regrouping, and mixed application.

1. Fill the Number Jars

Fill the Number Jars place value activity

Children build a target number using thousands, hundreds, tens, and ones. They can add candies to each jar and remove them if they add too many. This starts with the quantity itself before moving into more abstract place-value work.

2. Candy Value Counter

Candy Value Counter digit place and value activity

Students connect each digit to what it is worth in the number and work with expanded form.

3. Candy Equation Machine

Candy Equation Machine expanded form activity

The machine has a missing value. Students use the keypad to complete the expanded-form equation.

4. Candy Orders

Candy Orders number names activity

Customers place orders using number names and numerals. Children arrange word strips or use the register keypad, so reading and writing numbers are practiced in both directions.

5. Candy Conveyor

Candy Conveyor counting forward and backward activity

Boxes travel along a number conveyor. Children move left or right by 10, 100, or 1,000 and can see the number trail as it changes. This turns counting forward and backward into a visible movement instead of an isolated number sequence.

6. More or Less Machine

More or Less Machine place value game

Students choose +10, +100, +1,000 or the matching subtraction lever to transform one number into another.

7. Candy Packing Station

Candy Packing Station regrouping activity

Children work with equivalent place-value units and regroup candy using the rule that 10 of one unit can be exchanged for 1 of the next unit.

8. Candy Shop Challenge

Candy Shop Challenge mixed place value review

The final station mixes skills from around the store. It checks whether students can transfer what they practiced instead of only repeating one familiar task.

What Does the Game Practice?

  • Represent and build numbers to 10,000 using thousands, hundreds, tens, and ones
  • Identify the place and value of a digit
  • Compose and decompose numbers using expanded form
  • Find missing values in expanded-form equations
  • Read number names and write numerals
  • Count forward and backward by 10, 100, and 1,000
  • Find 10, 100, or 1,000 more or less
  • Regroup and exchange equivalent place-value units
Start Playing

Built for More Than One Playthrough

The stations use larger question banks instead of serving exactly the same set each time. The game keeps track of recently used items in the same browser and draws fresh questions while unused items remain. Stars are also saved on that browser and device, so children can come back and try to improve their results.

Teacher Abi’s Tip

There is no need to finish all eight stations in one sitting. For regular practice, I would rather have a child complete one or two stations carefully and explain what the numbers are doing than rush through the entire game.

If a station is difficult, replay it on another day. Ask questions such as, “Which digit changed?”, “What place is it in?”, or “Why did 10 tens become 1 hundred?”

Ways to Use the Candy Store

  • After a lesson: Play the station that matches the skill just taught.
  • Math center: Assign one or two stations during independent work.
  • Home practice: Let children return to the game across several days.
  • Quiz review: Use the later stations after the basic place-value concepts are secure.
  • Extra practice: Replay a station and try to improve the star score.

Frequently Asked Questions

Is the game free?

Yes. Lino & Saya’s Candy Store is free to open and play in a web browser.

Do I need to install anything?

No. Click the play button and the game opens on its own page.

Can students play more than once?

Yes. The stations are designed for replay, with fresh questions drawn from their question banks while unused items remain.

Does progress save?

Stars and question history are saved in the same browser and device. Clearing browser data or switching devices can reset that progress.

Does it work on phones and tablets?

The game adjusts to smaller screens and provides tap controls where needed. A tablet or computer may be more comfortable for younger students, especially for the more visual stations.

Ready to Open the Candy Store?

Help Lino and Saya complete all eight place-value jobs and see how many stars you can earn.

Play Lino & Saya’s Candy Store

Still Having Trouble With Place Value?

Games are useful for practice, but some students need direct explanation, guided examples, and practice adjusted to the exact skill they are struggling with.

Ask About Online Tutoring