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

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

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

CIMT

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.

Problems Related to Place Value

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.

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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.

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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 .

place value problem solving year 7

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.

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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?

place value problem solving year 7

The Number Jumbler

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

place value problem solving year 7

Digit Addition

Age 5 to 11 challenge level.

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

place value problem solving year 7

Dicey Addition

Who said that adding couldn't be fun?

place value problem solving year 7

Age 11 to 14 Challenge Level

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

place value problem solving year 7

Forwards Add Backwards

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

place value problem solving year 7

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

place value problem solving year 7

Subtraction Surprise

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

place value problem solving year 7

Multiply Multiples 3

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

place value problem solving year 7

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?

place value problem solving year 7

Round the Three Dice

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

place value problem solving year 7

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?

place value problem solving year 7

Two Spinners

Age 5 to 7 challenge level.

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

place value problem solving year 7

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?

place value problem solving year 7

Always a Multiple?

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

place value problem solving year 7

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?

place value problem solving year 7

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?

place value problem solving year 7

Dicey Operations

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

place value problem solving year 7

Nice or Nasty

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

place value problem solving year 7

Coded Hundred Square

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

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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?

place value problem solving year 7

Method in Multiplying Madness?

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

place value problem solving year 7

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?

place value problem solving year 7

An Easy Way to Multiply by 10?

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

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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?

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What an Odd Fact(or)

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

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

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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?

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Six Times Five

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

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Which Is Quicker?

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

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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.

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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?

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Number Rules - OK

Age 14 to 16 challenge level.

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

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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.

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Which Scripts? live

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

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

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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?

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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.

place value problem solving year 7

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?

place value problem solving year 7

Latin Numbers

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

place value problem solving year 7

Number Detective

Follow the clues to find the mystery number.

place value problem solving year 7

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?

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Purr-fection

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

place value problem solving year 7

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?

Double Digit

Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?

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place value problem solving year 7

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place value problem solving year 7

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place value word problems

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

First Grade Place Value Word Problems

First Grade Place Value Word Problems

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Word Problems Place Value First Grade

Reagan Tunstall

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Addition and Subtraction Word Problems Worksheets First Grade Math 1.OA.1

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

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

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

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

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

Decimal Place Value Word Problems with Comparing and Rounding | Daily Math

Decimal Place Value Word Problems with Comparing and Rounding | Daily Math

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Spring Egg Math Craft Addition Word Problems

Creatively Teaching First

2nd Grade Math Activities Word Problems Centers Place Value Review

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1st Grade Math Worksheets Place Value and Addition and Subtraction to 40

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

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Place Value Logic Puzzles

Place Value Logic Puzzles

Meredith Anderson - Momgineer

Place Value Number Riddles

Teacher's Clubhouse

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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

Differentiated Word Problem Task Cards: Place Value, Addition, and Subtraction

Differentiated Word Problem Task Cards: Place Value, Addition, and Subtraction

Chalkboard Creations

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Weekly Word Problems

Weekly Word Problems

Tucker's Mama

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

Teaching with High Standards

Also included in:  5th Grade Math Bundle

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Mr. Mathematics

Place Value

September 3, 2022.

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

Prerequisite Knowledge

Key Concepts

Working Mathematically

Subject Content

place value problem solving year 7

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.

Multiplying and Dividing by 10, 100 and 1000

Multiplying and Dividing by 10, 100 and 1000

Problem Solving - Place Value

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

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Play these fun Maths Games for 7-11 year olds

Choose a category:, place value games.

place value problem solving year 7

Place Value Basketball

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.

place value problem solving year 7

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.

place value problem solving year 7

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 problem solving year 7

Place Value Charts

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

place value problem solving year 7

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.

place value problem solving year 7

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.

place value problem solving year 7

ITP Beadsticks

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

place value problem solving year 7

Shark Numbers

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

place value problem solving year 7

Decimal Demonstrator

A useful teaching tool to demonstrate decimals and place value.

place value problem solving year 7

Starship Sten

Find 1000 more or less than a given number.

place value problem solving year 7

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

    place value problem solving year 7

  2. Problem Solving with Place Value

    place value problem solving year 7

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

    place value problem solving year 7

  4. 3 digit by 2 digit multiplication worksheets 99worksheets

    place value problem solving year 7

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    place value problem solving year 7

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

    place value problem solving year 7

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  1. Place Value of Numbers

  2. Math

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

  4. Money : Problem Solving

  5. 9-5 4th Grade Place Value Homework

  6. Paper 4 Mathematics Mechanics (M1), problem solving year 2015

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    Cost of living is on the rise. According to the Bureau of Labor Statistics (BLS), the total Consumer Price Index increased by 7.9% between February 2021 and February 2022. And as the cost of living continues to climb in most parts of the wo...

  2. What Are the Six Steps of Problem Solving?

    The six steps of problem solving involve problem definition, problem analysis, developing possible solutions, selecting a solution, implementing the solution and evaluating the outcome. Problem solving models are used to address issues that...

  3. How Do You Solve a Problem When You Have Different Bases With the Same Exponents?

    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

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  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