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## KS3 Maths Place Value (MEP – Year 7 – Unit 2)

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

Last updated

7 September 2014

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## Interesting topics

Place value word problems

This lesson will show you how to solve six interesting place value word problems. Before you start this lesson, review the place value chart .

Problem #1: A number has 5 tens and 2 more ones than tens. What is the number? Solution 2 more ones than tens is equal to 5 + 2 or 7. Therefore, the number has 5 tens and 7 ones. The number is 57.

Problem #2: A number has 8 ones and 2 fewer tens than ones. What is the number? Solution 2 fewer tens than ones is equal to 8 - 2 = 6. Therefore, the number has 6 tens and 8 ones. The number is 68.

Problem #3: A number has 6 tens and the same number of ones as tens. What is the number? Solution The number has 6 tens and 6 ones. The number is 66.

Problem #4: A 4-digit number has a 6 in the thousands place, a 9 in the ones place and 0s elsewhere. What is the number? Solution The number is 6009

## Challenging place value word problems

Problem #5: What 3-digit number has the number 5 as its digit in the tens place and the digit in the hundreds place twice as big as the digit in the ones place? (There may be more than 1 correct answer) Solution First, we need to realize that the number has 3 digits and the digit in the middle is 5. So far the number looks like this: a5b The digit in the hundreds place is a and the digit in the ones place is b. Possible choices for a and b: a = 8 and b = 4 a = 6 and b = 3 a = 4 and b = 2 a = 2 and b =1

The number can be 854, 653, 452, or 251

Problem #6: What 3-digit number am I if the digit in my tens place is five more than the digit in my ones place and the digit in my tens place is twice the digit in my hundreds place?

When the digit in the tens place is five more than the digit in the ones place, we have the following scenario for the ones and the tens place: 94, 83, 72, 61, and 50

When the digit in the tens place is twice the digit in the hundreds place, we have the following scenario for the tens and the hundreds place:

48, 36, 24, and 12

The one that satisfies both scenarios is 36 and 61. Therefore, the number is 361.

What is the place value?

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## Problems Related to Place Value

Worked-out problems related to place value of digits in a numeral.

Examples on place value:  1.  Find the difference between the place value and face value of digit 6 in the numeral 2960543.  Solution:   Place value of digit 6 in 2960543 = 60000

Face value of digit 6 in 2960543 = 6

Their difference = 60000 - 6 = 59994

2.  Find the product of the place values of two 4s in the numeral 30426451.

Solution:

The place value of 4 in hundreds place = 400

The place value of 4 in hundred thousand place = 400000

Their product = 400000 × 400 = 160000000.

3. Write the smallest 5-digit number:

(a) having 5 different digits

(b) having 8 in thousands place

(c) having 9 in ones place Solution: (a) The smallest 5 different digits are 0, 1, 2, 3, 4

Therefore, the smallest 5-digit number having 5-different digits 10234 (b) The smallest 5-digit number having 8 in thousands place is 18023. (c) The smallest 5-digit number having 9 in ones place is 10239.

4. Write the largest 4-digit number:

(a) having 4-different digits

(b) having 3 in tens place

(c) having 5 in hundreds place Solution: (a) The largest 4-different digits are 9, 8, 7, 6.

Therefore, the largest 4-digit number having 4 different digits = 9876 (b) The largest 4-digit number having 3 in tens place = 98 3 7 (c) The largest 4-digit number having 5 in hundreds place = 9 5 87

5. Form a number with:

3 at ten thousands place

5 at lakhs place

7 at thousands place

9 at ones place

1 at hundreds place

9 at tens place.

The number is 5,37,199.

6. Form a number with:

7 at crores place, 8 at ten-thousands place

3 at lakhs place, 4 at ten-lakhs place

7 at hundreds place, 9 at ones place

1 at thousands place, 0 at tens place

The number is 7,43,81,709.

Each digit has a value depending on its place called the place value of the digit are explained and shown above in the problems related to place value using step-by-step explanation.

## Check for Subtraction and Addition | Checking Subtraction | Problems

We will learn to check for subtraction and addition answers after solving. Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.

## Worksheet on Word Problems on Addition and Subtraction Together | Ans

In 4th grade worksheet on word problems on addition and subtraction, all grade students can practice the questions on word problems based on addition and subtraction. This exercise sheet on

## Successor and Predecessor | Successor of a Whole Number | Predecessor

The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also

## Types of Fractions |Like Fractions|Unit fractions|Proper & Improper Fr

The various types of fractions are: 1. Like fractions: The fractions having the same denominators are known as like fractions.

## 4th Grade Numbers Worksheets | Place Value Chart | Expended Form

In 5th Grade Numbers Worksheets we will solve how to read and write large numbers, use of place value chart to write a number in expanded form, represent the large number on the abacus, write the number in standard form, compare with another number and arrange numbers

## Word Problems on Division | Examples on Word Problems on Division

Word problems on division for fourth grade students are solved here step by step. Consider the following examples on word problems involving division: 1. \$5,876 are distributed equally among 26 men. How much money will each person get?

## Word Problems on Multiplication |Multiplication Word Problem Worksheet

Word problems on multiplication for fourth grade students are solved here step by step. Problem Sums Involving Multiplication: 1. 24 folders each has 56 sheets of paper inside them. How many sheets of paper are there altogether? Solution: We can add 56 sheets 24 times

## Division by Two-Digit Numbers | Knowledge of Estimation | Division

In division by two-digit numbers we will practice dividing two, three, four and five digits by two-digit numbers. Consider the following examples on division by two-digit numbers: Let us use our knowledge of estimation to find the actual quotient. 1. Divide 94 by 12

## Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

## Division by 10 and 100 and 1000 |Division Process|Facts about Division

Division by 10 and 100 and 1000 are explained here step by step. when we divide a number by 10, the digit at ones place of the given number becomes the remainder and the digits at the remaining places of the number given the quotient.

## Terms Used in Division | Dividend | Divisor | Quotient | Remainder

The terms used in division are dividend, divisor, quotient and remainder. Division is repeated subtraction. For example: 24 ÷ 6 How many times would you subtract 6 from 24 to reach 0?

## Multiplication | How to Multiply a One, Two or Three-digit Number?

In multiplication we know how to multiply a one, two or three-digit number by another 1 or 2-digit number. We also know how to multiply a four-digit number by a 2-digit number. We also know the different methods of multiplication. Here, we shall make use of the methods and

## Subtraction with Regrouping | 4-Digit, 5-Digit and 6-Digit Subtraction

We will learn subtraction 4-digit, 5-digit and 6-digit numbers with regrouping. Subtraction of 4-digit numbers can be done in the same way as we do subtraction of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start

We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and ‘-‘ signs. We find the sum of the numbers with ‘+’ sign and similarly the sum

## 4th Grade Subtraction Worksheets | 4-Digit Subtraction |Math Only Math

In 4th grade subtraction worksheet we will solve 4-Digit Subtraction, word problem on subtraction, Estimate the difference by rounding off the given numbers, successor and predecessor of a number.

## Find the Missing Digits | Missing Digits in Addition and Subtraction

How to find the missing digits in the blank spaces? Add the ONES: 5 + 9 = 14 Regroup as 1 Ten and 4 Ones Add the TENS: 2 + 1 carry over = 3 Write 2 in the box to make 3 + 2 = 5 Add the HUNDREDS: 4

## Subtraction without Regrouping |4-Digit, 5-Digit & 6-Digit Subtraction

We will learn subtracting 4-digit, 5-digit and 6-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then subtract the digits under each column as shown in the following examples. 1. Subtract 3248 from 6589.

## Subtraction | How to Subtract 2-digit, 3-digit, 4-digit Numbers?|Steps

The answer of a subtraction sum is called DIFFERENCE. How to subtract 2-digit numbers? Steps are shown to subtract 2-digit numbers.

Addition is finding the total of different values. The important thing to remember when adding is to line up the numbers carefully according to place value.

## Method of L.C.M. | Finding L.C.M. | Smallest Common Multiple | Common

We will discuss here about the method of l.c.m. (least common multiple). Let us consider the numbers 8, 12 and 16. Multiples of 8 are → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ......

Related Concept

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## Resources tagged with: Place value

Filter by: Content type: ALL Problems Articles Games Age range: All 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level:

There are 126 NRICH Mathematical resources connected to Place value , you may find related items under The Number System and Place Value .

## More Less Is More

Age 7 to 14 challenge level.

In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.

## Less Is More

Age 7 to 11 challenge level.

Use your knowledge of place value to try to win this game. How will you maximise your score?

## The Number Jumbler

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Age 5 to 11 challenge level.

Try out this number trick. What happens with different starting numbers? What do you notice?

Who said that adding couldn't be fun?

## Age 11 to 14 Challenge Level

Where should you start, if you want to finish back where you started?

What happens when you add a three digit number to its reverse?

By selecting digits for an addition grid, what targets can you make?

## Subtraction Surprise

Try out some calculations. Are you surprised by the results?

## Multiply Multiples 3

Have a go at balancing this equation. Can you find different ways of doing it?

## Round the Dice Decimals 1

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

## Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

## Round the Dice Decimals 2

What happens when you round these numbers to the nearest whole number?

## Multiply Multiples 2

Can you work out some different ways to balance this equation?

## Multiply Multiples 1

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

## Two Spinners

Age 5 to 7 challenge level.

What two-digit numbers can you make with these two dice? What can't you make?

## That Number Square

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

## Always a Multiple?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

## Light the Lights

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

## Our Numbers

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

## Dicey Operations

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

## Nice or Nasty

There are nasty versions of this dice game but we'll start with the nice ones...

## Coded Hundred Square

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

## What Do You Need?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

## Diagonal Sums

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

## An Easy Way to Multiply by 10?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

## How Many Miles to Go?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

## What an Odd Fact(or)

Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?

Can you replace the letters with numbers? Is there only one solution in each case?

## Sixty-seven Squared

Age 16 to 18 challenge level.

Evaluate these powers of 67. What do you notice? Can you convince someone what the answer would be to (a million sixes followed by a 7) squared?

## Six Times Five

How many six digit numbers are there which DO NOT contain a 5?

## Which Is Quicker?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

## Think of Two Numbers

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

## All the Digits

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

## Number Rules - OK

Age 14 to 16 challenge level.

Can you produce convincing arguments that a selection of statements about numbers are true?

## Two and Two

Age 11 to 16 challenge level.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

## Which Scripts? live

There are six numbers written in five different scripts. Can you sort out which is which?

Can you explain the surprising results Jo found when she calculated the difference between square numbers?

## Legs Eleven

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

## 2-digit Square

A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

## Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

## Number Detective

Follow the clues to find the mystery number.

## Writing Digits

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

## BT.. Eat Your Heart Out

If the last four digits of my phone number are placed in front of the remaining three you get one more than twice my number! What is it?

## Purr-fection

What is the smallest perfect square that ends with the four digits 9009?

## Six Is the Sum

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

## Easel Assessments

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place value word problems

## All Formats

Resource types, all resource types, results for place value word problems.

## 2nd Grade Place Value Math Word Problem Task Cards | Print & Digital

Also included in:  2nd Grade Math Word Problem Task Cards BUNDLE | Printable & Digital

## Word Problems Place Value First Grade

Also included in:  Word Problems Bundle First Grade

## Place Value Word Problems | Daily Math Review

Also included in:  Word Problems Bundle for Daily Math Spiral Review in Grade 4 (Math SOLs)

## Multi-Step Word Problems Math Worksheets 2nd and 3rd Grade

Also included in:  3rd Grade TOP 25 Math, Language, Science, Social Skills Variety Pack

## Math Task Cards - Scoot/Scoot JR - place value, skip counting, & word problems

Also included in:  MATH BUNDLE 2nd grade math scoot, anchor charts, and task cards

## Would You Rather Math Journal Word Problems 5th Grade Math Review Number Talks

Also included in:  Grades 3-5 Would You Rather Math Journal Prompts - Math Review Warmups BUNDLE

## 3rd Grade Rounding & Place Value Math Word Problem Task Cards | Print & Digital

Also included in:  3rd Grade Math Word Problem Task Cards BUNDLE | Printable & Digital

Also included in:  Addition Subtraction and Algebraic Thinking Worksheets for First Grade

## 4th Grade Word Problems Math Spiral Review Place Value Print and Digital

Also included in:  4th Grade Math Word Problems | Math Spiral Review | Math Test Prep YEARLONG

## 1st Grade Math Word Problems NBT and Place Value - Short Answer Response

Also included in:  1st Grade Math - Common Core Math Centers, Worksheets, Word Problems, More

## 3rd Grade Math Word Problems Math Spiral Review Place Value Test Prep

Also included in:  3rd Grade Word Problems | Math Spiral Review | Math Test Prep YEARLONG BUNDLE

## 1st Grade Magic of Math Lesson Plans for Place Value and Counting

Also included in:  1st Grade Magic of Math Lesson Plans for THE ENTIRE SCHOOL YEAR

## 5th Grade Word Problems Math Spiral Review Place Value Print and Digital

Also included in:  5th Grade Word Problems Math | Math Spiral Review | Math Test Prep YEARLONG

Also included in:  Differentiated Math Word Problem Task Card Bundle

## Understanding Place Value Unit for 5th Grade | Lessons, Practice, Assessment

Also included in:  5th Grade Math Bundle

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## Place Value

September 3, 2022.

Scheme of work: Key Stage 3: Year 7: Term 1: Place Value

## Writing Numbers using Words and Digits

Comparing the size of numbers, reading and writing numbers on a scale, multiplying a number by a power of ten, dividing a number by a power of ten, alternative number systems, additional resources.

## Mr Mathematics Blog

Data collection.

Scheme of work for applied A-Level mathematics: Statistics: Data Collection

## Integration

Scheme of Work for A-Level Mathematics: Year 1: Pure: Integration

## Differentiation

Scheme of Work for A-Level Mathematics: Year 1: Pure: Differentiation

## Play these fun Maths Games for 7-11 year olds

Choose a category:, place value games.

Place Value Basketball is a fun, base ten blocks game which helps children aged 5 to 8 to know what each digit in a either a two or three digit number represents.

## Bead Numbers - Place Value

Bead Numbers is a place value investigation involving a tens and ones abacus. The game provides a good context for encouraging learners to think systematically.

## Carroll Diagrams - Odd and Even

Sort numbers on these Carroll Diagrams by whether they are odd or even, by place value or by more or less than a given number.

## Place Value Charts

Test your knowledge of place value or hundreds, tens and units. Suitable for use on an interactive whiteboard and desktops.

Daily 10 has maths questions on a range of maths concepts: addition, subtraction, ordering, partitioning, digit values, rounding, multiplication, division, doubles, halves and fractions. Great starter or plenary activity. Useful for mental maths.

## Dienes and Coins

Useful place value teaching resources for use on an interactive whiteboard. They cover hundreds, tens and ones and money. With some you will need to drag the Diennes blocks to represent the number you want. Please note the decimals section is faulty.

Mathsframe has produced a tablet friendly beadsticks resource which can help with understanding place value, partitioning and modelling addition and subtraction.

## Shark Numbers

A hundreds, tens and units maths game. Count carefully otherwise the shark will bite your boat.

## Decimal Demonstrator

A useful teaching tool to demonstrate decimals and place value.

## Starship Sten

Find 1000 more or less than a given number.

## Scooter Quest

A place value game which will test your knowledge of digit values. There are 3 levels of difficulty which go from two to four decimal places. Note the currency is dollars but this does not mean the game is not useful in other currency areas.

#### IMAGES

1. Place Value Problem Solving Year 3

2. Problem Solving with Place Value

3. Place Value Problem Solving for Interactive Notebooks or Math Journals

4. 3 digit by 2 digit multiplication worksheets 99worksheets

5. User profile

6. Year 2 Maths Place Value Problem Solving Homework Worksheet / Worksheet

#### VIDEO

1. Place Value of Numbers

2. Math

3. A Nice Algebra Problem Solving By Math Tutor Jakaria✍️

4. Money : Problem Solving

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When multiplying or dividing different bases with the same exponent, combine the bases, and keep the exponent the same. For example, X raised to the third power times Y raised to the third power becomes the product of X times Y raised to th...

4. Place Value Problem Solving Differentiated Worksheets

You want it? We'll make it; 24/7 customer support (with real people!)

5. KS3 Maths Place Value (MEP

Maths worksheets and activities. The topic of Place Value from the Year 7 book of the Mathematics Enhancement Program. For information about these resources

6. Place Value Word Problems with Solutions

Place value word problems · Problem #1: A number has 5 tens and 2 more ones than tens. · Problem #2: A number has 8 ones and 2 fewer tens than ones. · Problem #3:

7. Problems Related to Place Value

Solution: (a) The largest 4-different digits are 9, 8, 7, 6. Therefore, the largest 4-digit number

8. Place Value KS2

live. Age 7 to 11. Challenge Level. There are six numbers written in five different scripts. Can you

9. NRICH topics: The Number System and Place Value Place value

Can you replace the letters with numbers? Is there only one solution in each case? Sixty-seven Squared. Age 16 to 18. Challenge Level.

10. Place Value Word Problems Teaching Resources

5th Grade Word Problems Math Spiral Review Place Value Print and ... Each of the 36 math word problem solving task cards included in

11. Place Value Activity Package

Place Value Activities. Winnipeg School Division. Numeracy Project. 7.

12. Solve Multiplication Problems using Place Value: NZ Stage 7

An instructional video showing how to multiply using place value.Please give feedback so future videos can be improved:

13. Place Value

Scheme of work: Key Stage 3: Year 7: Term 1: Place Value ... challenged to solve a range of problem solving questions involving place value.

14. Place Value, Maths Games for 7-11 Years

Place Value Basketball is a fun, base ten blocks game which helps children aged 5 to 8 to know what each