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Dividing by 10 100 and 1000 Worksheets

Dividing by 10 100 and 1000 worksheets are a good way to get introduced to the different tricks that can be used while dividing various numbers by 10, 100, and 1000.

Benefits of Dividing by 10 100 and 1000 Worksheets

Division forms one of the most basic arithmetic operators. Dividing a number by 10, 100, or 1000 is very simple and can be understood further by using the dividing by 10 100 and 1000 worksheets.

As the dividing by 10 100 and 1000 worksheets are easy to use, fun to solve, free to download, and are available in PDF format for offline use they are the perfect way to master a topic in no time.

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These math worksheets should be practiced regularly and are free to download in PDF formats.

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Then, I also show this shortcut originates, using place value charts. In reality, the decimal point moving is sort of an illusion, and instead, the of the number move within the place value chart. This explanation can really help students to understand the reason behind the "trick" of moving the decimal point.


When you multiply whole numbers by 10, 100, 1000, and so on (powers of ten), you can simply “tag” as many zeros on the product as there are in the factor 10, 100, 1000 .

There is a for by numbers such as 10, 100, and 1000:

Move the decimal point to the as many places as there are zeros in the factor.

Move the decimal point one step to the right (10 has one zero).

Move the decimal point two steps to the right (100 has two zeros). The number 265. is 265 (as shown above).

1000 means we move the point three steps. Write a zero at the end of 0.37 so that the decimal point can “jump over to” that place.

1. Multiply.

Since 100 × 2 = 200, obviously the answer to
100 × 2.105 will be a little more than 200. Hence, you can just write the digits
2105 and put the decimal point so that the answer is 200-something:  .

2. Let's practice some more.

× 0

3. Now let's practice using powers of ten.

× 0.007 = _____________

× 2.01 = _____________

× 4.1 = ______________

× 41.59 = _____________

= ______________

= _____________

The (powers of ten) is similar. Can you guess it?

Move the decimal point to the for as many places (steps) as there are _________________________ in the factor 10, 100, or 1000.

Move the decimal point two steps to the ____________. You need to write zeros in front of the number.

          =  0.0056

Move the decimal point four steps to the ____________. You need to write zeros in front of the number.

 

   

   

5. Now let's practice using powers of ten.

= _____________

= _____________

= _____________

  = _____________

= _____________

= _____________

When 0.01 (a hundredth) is multiplied by ten, we get ten hundredths, which is equal to one tenth. Or, 10 × 0.01 = 0.1.

The entire number moved one “slot” to the left on the place value chart. This moving the decimal point in the number to the right.

 

A hundred times two tenths is like multiplying each tenth by 10, and by 10 again. Ten times two-tenths gives us two, and ten times that gives us 20.

Again, it is like moving the number over two “slots” to the left in the place value chart, or moving a decimal point in 0.2, two steps to the right.

 
When 3.915 is multiplied by 100, we get 391.5. Each part of the number (3, 9 tenths, 1 hundredth, 5 thousandths) is multiplied by 100, so each one of those moves two “slots” in the place value chart. This is identical to thinking that the decimal point moves two steps to the right.  

If we move the decimal point to solve 6 ÷ 100, we get:

6. Divide. Think of fractions to decimals, or use the shortcut. Compare the problems in each box!

  2
 =  
  2.1
 =  
  49
 =  
  490
 =  
  6
 =  
  6.5
 =  
  5
 =  
  5.04
 =  
  4.7
 =  
  4.7
 =  
  72
 =  
  72.9
 =  

7. A 10-lb sack of nuts costs $72.     How much does one pound cost?

8. Find the price of 100 ping-pong balls if one ping pong ball costs $0.89.

If we divide any by 1,000, the answer will have or decimal digits. This makes it easy to divide whole numbers by 1,000:  simply as your answer , and then make it have :

819,302
 = 819.302
41,300
 = 41.300 = 41.3
8,000
 = 8.000 = 8

Notice in the last two cases, we can simplify the results:  41.300 to 41.3 and 8.000 to 8.

9. Divide whole numbers by 1000. Simplify the final answer by dropping any ending decimal zeros.

  239
 =  
  35,403
 =  
  67
 =  
  263,000
 =  
  3,890
 =  
  1,692,400
 =  
  12,560,000
 =  
  9
 =  
  506,940
 =  

Similarly:

, copy the dividend and make it have . , copy the dividend and make it have .

72
  = 7.2
3,090
  = 30.90 = 30.9
74,992
  = 749.92
82,000
  = 8200.0 = 8,200

10. Divide whole numbers by 10 and 100.

  239
 =  
  89,803
 =  
  69
 =  
  239
 =  
  26,600
 =  
  23,133
 =  
  3,402
 =  
  9
 =  

12. Find one-hundredth of...

13. A pair of shoes that cost $29 was discounted by 3/10 of its price. What is the new price? ( Hint: First find 1/10 of the price. )

14. Find the discounted price:

      a. A bike that costs $126 is discounted by 2/10 of its price.

      b. A $45 cell phone is discounted by 5/100 of its price.              ( Hint: First find 1/100 of the price. )

15. One-hundredth of a certain number is 0.03. What is the number?  

16. Which vacuum cleaner ends up being cheaper? Model A, with the initial price $86.90, is discounted by 3/10 of its price.  Model B costs $75 now, but you will get a discount of 1/4 of its price.

In the problem  ____ ×  3.09  = 309, the number 3 becomes 300, so obviously
the missing factor is 100. You do not even have to consider the decimal point!

The same works with division, too. In the problem 7,209 ÷ _____ = 7.209, the missing divisor
is one thousand, because the value of the digit 7 was first 7000, and then it became 7.

17. It is time for some final practice. Find the missing numbers. Match the letter of each problem with the right answer in the boxes, and solve the riddle. There are two sets of boxes. The first boxes belong to the first set of exercises, and the latter boxes belong to the latter set.

Why didn’t 7 understand what 3.14 was talking about?

 ____ ×  0.04  = 40

  ____ × 9.381 = 938.1

1,000 × 4.20 =

 ____ ×  7.31  = 731

  ____ × 0.075 = 0.75

10 × 3.55 = ______

  100 × ______ = 4.2

1,000 × ______ = 355

____ × 60.15 = 60,150

4,200 1000   100 35.5 100 0.042   10   0.355 1000 1000
                       

  _____ ÷ 100 = 0.42

  _____ ÷ 10 = 2.3

 _____ ÷ 1000 = 4.2

   
  = 2.3 
   
  = 0.42 

O   4,360 ÷ _____ = 4.36

I    304.5 ÷ _____ = 3.045

230 100 10   23 1000 4.2 4,200 42
               

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Dividing by 10, 100, 1000

dividing by 10, 100, 1000

By the end of this unit, students will be able to:

  • Understand the concept of dividing numbers by 10, 100, and 1000.
  • Perform divisions involving shifting the digits to the right by one, two, or three places.
  • Recognize the connection between these divisions and place value.
  • Apply the concept of dividing by powers of 10 to solve real-life and mathematical problems involving decimal fractions.

What's Included

  • Three-part Lesson
  • Self-marking Activities
  • Fluency, Reasoning and Problem-solving Questions.
  • Engaging Drag and Drop Activities
  • Interactive Self-marking Worksheet
  • Printable Worksheets to Consolidate Learning

Year 2 Mathematics:

Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations, and arrays.

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Connected Resources

common multiples

Common Multiples

short division without remainder

Short Divisions

rules of divisibility

Divisibility Rules

introduction to cube numbers

Cube Numbers

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Lesson details

Key learning points.

  • In this lesson, we will apply our understanding of multiplying and dividing numbers by 10, 100 and 1000 to the context of measure.

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Divide by 10, 100 and 1,000: Reasoning and Problem Solving

Divide by 10, 100 and 1,000: Reasoning and Problem Solving

divide by 10 100 and 1000 problem solving

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Divide by 10, 100 and 1,000 Year 6 Multiplication and Division Resource Pack

Divide by 10, 100 and 1000 Year 6 Resources

Step 3: Divide by 10, 100 and 1000 Year 6 Spring Block 1 Resources

Divide by 10, 100 and 1000 Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 1.

divide by 10 100 and 1000 problem solving

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What's included in the pack?

This pack includes:

  • Divide by 10, 100 and 1000 Year 6 Teaching PowerPoint.
  • Divide by 10, 100 and 1000 Year 6 Varied Fluency with answers.
  • Divide by 10, 100 and 1000 Year 6 Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 6: (6F9a)  Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to three decimal places

Differentiation:

Varied Fluency Developing Questions to support dividing a number with up to 1 decimal place by 10, 100 and 1,000 with some use of zero. Expected Questions to support dividing a number with up 2 decimal places by 10, 100 and 1,000 with some use of zero. Some conversion between units of measure included. Greater Depth Questions to support dividing a number with up to 2 decimal places by multiples of 10, 100 and 1,000 where numbers include zeros. Some questions include dividing by multiples of these numbers. Conversion between units of measure included.

Reasoning and Problem Solving Questions 1, 4 and 7 (Problem Solving) Developing Find the odd one out when dividing numbers with up to 1 decimal place by 10, 100 and 1,000 with some use of zero.  Expected Find the odd one out when dividing numbers with up 2 decimal places by 10, 100 and 1,000 with some use of zero.  Greater Depth Find the odd one out when dividing numbers with up to 2 decimal places by multiples of 10, 100 and 1,000 where numbers include zeros. Some questions include dividing by multiples of these numbers.

Questions 2, 5 and 8 (Reasoning) Developing Identify the correct statement and explain reasoning. Statements involve dividing numbers with up to 1 decimal place by 10, 100 and 1,000 with some use of zero.  Expected Identify the correct statement and explain reasoning. Statements involve dividing numbers with up 2 decimal places by 10, 100 and 1,000 with some use of zero. Some conversion between units of measure included. Greater Depth Identify the correct statement and explain reasoning. Statements involve dividing numbers with up to 2 decimal places by multiples of 10, 100 and 1,000 where numbers include zeros. Some questions include dividing by multiples of these numbers.

Questions 3, 6 and 9 (Problem Solving) Developing Use clues to solve a riddle with only one possible answer. Riddles involve dividing numbers with up to 1 decimal place by 10, 100 and 1,000 with some use of zero.  Expected Solve a riddle with only one possible answer. Riddles involve dividing numbers with up 2 decimal places by 10, 100 and 1,000 with some use of zero.  Greater Depth Solve a riddle with only one possible answer. Riddles involve dividing numbers with up to 2 decimal places by multiples of 10, 100 and 1,000 where numbers include zeros. Some questions include dividing by multiples of these numbers. Conversion between units of measure included.

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White Rose Maths - Year 5 - Block 4 - Multiplying and Dividing by 10, 100 and 1000 (Problem Solving and Varied Fluency)

White Rose Maths - Year 5 - Block 4 - Multiplying and Dividing by 10, 100 and 1000 (Problem Solving and Varied Fluency)

Mrs B's Resources

Last updated

13 November 2018

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White Rose Maths - Year 5 - Block 4 - Multiplying and Dividing by 10, 100 and 1000 (Problem Solving)

White Rose Maths - Year 5 - Block 4 - Multiplying and Dividing by 10, 100 and 1000 (Problem Solving)

White Rose Maths - Year 5 - Block 4 - Dividing by 10, 100 and 1000 (Varied Fluency)

White Rose Maths - Year 5 - Block 4 - Dividing by 10, 100 and 1000 (Varied Fluency)

White Rose Maths - Year 5 - Block 4 - Multiply by 10, 100 and 1000 (Varied Fluency)

White Rose Maths - Year 5 - Block 4 - Multiply by 10, 100 and 1000 (Varied Fluency)

A set of varied fluency and a set of problem solving and reasoning worksheets to use alongside the White Rose Maths scheme. Both sets of questions have been differentiated 3 ways, each with an individual sheet of questions for that level. Answers are also included.

This set of worksheets are for Year 5, Autumn Block 4 (Multiplication and Division), focusing on the seventh and eighth small step of multiplying and dividing numbers by 10, 100 and 1000. Details of how it has been differentiated can be found below:

• 1 Star sheet (Working Towards Expected Level): Be able to multiply and divide whole numbers by 10 and 100. • 2 Star sheet (Expected Level): Be able to multiply and divide whole and decimal numbers by 10, 100 and 1000. • 3 Star sheet (Working at greater depth): Be able to multiply and divide whole and decimal numbers by 10, 100, 1000 and 10,000.

The varied fluency worksheets contain a total of 8 questions, some broken down into parts (a, b, c etc.) with 2 examples of each question type. This provides children with the varied fluency that White Rose aim for. These questions can be used as a quick starter and cut up so that only the first 4 questions are used, or given as more of a main activity with all 8 questions. They could also be used for partner work, depending on the ability of the children.

The problem solving and reasoning worksheets contain a total of 8 questions. These questions could be used as a whole, or cut up into strips of 4 questions for a shorter task. They could also be used for partner work, depending on the ability of the children.

If you have any questions, please feel free to ask. Likewise, I am still developing these resources, so any helpful comments would also be appreciated.

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IMAGES

  1. Year 6 Divide by 10, 100 and 1,000 Lesson

    divide by 10 100 and 1000 problem solving

  2. Dividing by 10, 100, 1000 Textbook Exercise

    divide by 10 100 and 1000 problem solving

  3. Decimals Year 5 Divide by 10, 100 and 1,000 Discussion Problems

    divide by 10 100 and 1000 problem solving

  4. Dividing by 10, 100 and 1000

    divide by 10 100 and 1000 problem solving

  5. Year 6 Divide by 10, 100 and 1000 Decimals Reasoning and Problem

    divide by 10 100 and 1000 problem solving

  6. Divide by 10, 100 and 1,000: Reasoning and Problem Solving

    divide by 10 100 and 1000 problem solving

COMMENTS

  1. PDF Year 6 Divide by 10, 100 and 1,000 Reasoning and Problem Solving

    Reasoning and Problem Solving Divide by 10, 100 and 1,000 Reasoning and Problem Solving Divide by 10, 100 and 1,000 Developing 1a. A = 713.2; B = 71.4 (it cannot be made using the digit cards); C = 72.1 2a. Hafsa is correct. She has moved the digits 2 places to the right. Sinead has divided by 10. 3a. 6.52

  2. Multiply and divide by 10, 100 and 1000

    Multiply and divide by 10, 100 and 1000. We provide world class resources and training for teachers of all phases. Our forever free schemes of learning span from Reception to Post 16 GCSE resit. Short quizzes and end of term assessments that compliment our SOL are also available for free. Are worksheet sit alongside our small steps guidance for ...

  3. PDF Word Problems multiplying and dividing by 10, 100 and 1000 (M)

    Word Problems multiplying and dividing by 10, 100 and 1000 (M) a) There are 100 children in each club at Hayes Park School. There are 31 different after school clubs. How many children attend clubs in total? b) A Hatchimal toy costs £3.40. How much would 100 Hatchimals cost? c) Mr Burnham buys a cappuccino from Costa Coffee every morning.

  4. Multiply and Divide by 10, 100, 1000 Word Problem Cards

    Check your KS2 class's knowledge and understanding of multiplying and dividing by 10, 100 and 1000 by using these word problem challenge cards. 11 problems featuring real life contexts will test how well your class understand the process of multiplying and dividing by 10, 100 and 1000. Referencing wider mathematical knowledge like converting measure and multi-step problem solving, these ...

  5. PDF Year 5 Dividing by 10, 100 and 1,000 Reasoning and Problem Solving

    The calculation should be 32,000 ÷ 10 ÷ 10 ÷ 10 because the answer is 32. 8b. Dan has divided the number by 1,000 rather than 100. The correct answer is £27.40 not £2.74 9b. Various answers, for example: 30,600; 52,200; 41,400. Reasoning and Problem Solving - Dividing by 10, 100 and 1,000 ANSWERS.

  6. Multiply and Dividing by 10, 100, 1000 etc Practice Questions

    Click here for Answers. . division, divide, multiplying, multiplication, powers of ten. Practice Questions. Previous: Division Practice Questions. Next: Enlargements Practice Questions. The Corbettmaths Practice Questions on Multiplying and Dividing by 10, 100, 1000 etc and also powers of ten.

  7. Dividing by 10, 100, 1000 Textbook Exercise

    The Corbettmaths Textbook Exercise on Dividing by 10, 100 and 1000 etc. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary ... Dividing by 10, 100, 1000 Textbook Exercise. Click here for Questions . Textbook Exercise. Previous: Dividing by Powers of 10 Textbook Exercise. Next: Cross Multiplication Textbook ...

  8. Dividing by 10 100 and 1000 Worksheets

    Dividing a number by 10, 100, or 1000 is very simple and can be understood further by using the dividing by 10 100 and 1000 worksheets. As the dividing by 10 100 and 1000 worksheets are easy to use, fun to solve, free to download, and are available in PDF format for offline use they are the perfect way to master a topic in no time.

  9. Multiply and Divide Decimals by 10, 100, and 1000

    When you multiply whole numbers by 10, 100, 1000, and so on (powers of ten), you can simply "tag" as many zeros on the product as there are in the factor 10, 100, 1000 etc . Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero).

  10. Dividing by 10, 100, 1000

    Understand the concept of dividing numbers by 10, 100, and 1000. Perform divisions involving shifting the digits to the right by one, two, or three places. Recognize the connection between these divisions and place value. Apply the concept of dividing by powers of 10 to solve real-life and mathematical problems involving decimal fractions.

  11. Year 6 Multiply and Divide by 10, 100 and 1000 Worksheet

    Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 64.34 KB. A set of three differentiated worksheets that work on multiplying and dividing by 10, 100 and 1000 for Year 6 children. These have all been made with mastery in mind and so follow this pattern. Worksheet One - Works on practise and fluency (LA)

  12. Multiply and divide by 10, 100 and 1000 with in context

    Key learning points. In this lesson, we will apply our understanding of multiplying and dividing numbers by 10, 100 and 1000 to the context of measure. This content is made available by Oak National Academy Limited and its partners and licensed under Oak's terms & conditions (Collection 1), except where otherwise stated.

  13. PDF Year 6 Divide by 10, 100 and 1,000 Discussion Problems

    decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to three decimal places About this resource: This resource has been designed for pupils who understand the concepts within this step. It provides pupils with more opportunities to enhance their reasoning and problem solving skills through more challenging ...

  14. PDF Year 5 Dividing by 10, 100 and 1,000 HW/EXT

    Greater Depth Identify which calculation is the odd one out using knowledge of dividing up to 5-digit numbers by 10, 100 and 1,000 where some numbers are presented using unconventional partitioning and answers use up to 2 decimal places. Questions 3, 6 and 9 (Reasoning and Problem Solving) Developing Use clues to identify missing digits in a ...

  15. Divide by 10, 100 and 1000

    Age range: 7-11. Resource type: Lesson (complete) File previews. flipchart, 394.39 KB. pdf, 3.32 MB. pdf, 3 MB. flipchart, 449.96 KB. This is a lesson on dividing by 10, 100 and 1000 and follows the Power Maths books. It includes varied fluency, reasoning and problem solving.

  16. Divide by 10, 100 and 1,000: Reasoning and Problem Solving

    Divide by 10, 100 and 1,000: Reasoning and Problem Solving, Maths, Year 5, Number, Fractions, Decimals, Sign Up to Download

  17. White Rose Maths Compatible Year 5 Divide by 10, 100, 1000

    This excellent diving into mastery teaching pack complements Version 3.0 of the White Rose Maths scheme of learning for year 5 Autumn term Block 3 Multiplication and Division A, Step 9: Divide by 10, 100 and 1000. Included in the pack is a time-saving PowerPoint containing various fluency, reasoning and problem-solving questions to use as a whole class. Place value charts and counters are used ...

  18. PDF Year 5 Multiplying by 10, 100 and 1,000 Reasoning and Problem Solving

    Reasoning and Problem Solving Step 2: Multiply by 10, 100 and 1,000 National Curriculum Objectives: Mathematics Year 5: (5C6b) Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000 Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing To calculate an answer based on 3 and 4 digit numbers multiplied by 10,

  19. PDF Year 4 Divide by 100 Reasoning and Problem Solving

    Greater Depth Explain why a calculation regarding a 4-digit number being divided by 100 is correct or incorrect. Includes a deeper understanding of place value by dividing by 10 and by 10 again. Questions 2, 5 and 8 (Problem Solving) Developing To answer a word problem using 3-digit numbers being divided by 100 with a variety of answers.

  20. Dividing by 10, 100 and 1000

    JPG, 118.51 KB. pdf, 557.09 KB. Dividing by 10, 100 and 1000 - Year 5. This Year 5 maths teaching resource has been created following the White Rose Small Steps guidance (Autumn - Block 3 - Multiplication and division A). The resource consists of 1 lesson, including a PowerPoint presentation and differentiated worksheets for independent ...

  21. Y5 DiM: Step 10 Multiply by 10, 100 and 1,000 Teaching Pack

    This wonderful Diving into Mastery teaching pack complements Version 3.0 of the White Rose Maths scheme of learning for year 5 Summer term Block 3 Decimals, Step 10: Multiply by 10, 100 and 1,000. Included in the pack is a time-saving PowerPoint containing various fluency, reasoning and problem-solving questions to use as a whole class that will give children a secure understanding of place ...

  22. Divide by 10, 100 and 1,000 Year 6 Multiplication and Division Resource

    Divide by 10, 100 and 1000 Year 6 Varied Fluency with answers. Divide by 10, 100 and 1000 Year 6 Reasoning and Problem Solving with answers. National Curriculum Objectives. Mathematics Year 6: (6F9a) Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up ...

  23. White Rose Maths

    • 3 Star sheet (Working at greater depth): Be able to multiply and divide whole and decimal numbers by 10, 100, 1000 and 10,000. The varied fluency worksheets contain a total of 8 questions, some broken down into parts (a, b, c etc.) with 2 examples of each question type.