Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Place Value Scales Addition and Subtraction Multiplying & Dividing by 10,100,1000 Multiplying by a Single Digit www.mathsrevision.com Dividing by a Single Digit Multiplying & Dividing by 20, 300 etc.. Rounding to nearest 10,100,1000 Estimating Answers 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 34o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Place Value MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1. We are learning the value of a digit given its place in a numbers. Understand the value of a digit given it place in a number. 2. Be able solve simply problems involving place value. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Place Value MNU 2-02a MNU 2-03a www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Place Value MNU 2-02a MNU 2-03a Place Value Sheet www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Place Value MNU 2-02a MNU 2-03a Now try Exercise XX Ch1 (page XX) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Reading Scales MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1. We are learning the value of a digit given its place in a numbers. Understand the value of a digit given it place in a number. 2. Be able solve simply problems involving place value. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Reading Scales How much liquid in the jug ? Count the number of small divisions Litres 2 1litre = 1000ml 5 Each division is worth www.mathsrevision.com 1 1 litre ÷ 5 = 1000ml ÷ 5 = 200ml 200ml x 4 = 800ml 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Reading Scales How much liquid in the jug ? Count the number of small divisions Litres 2 1litre = 1000ml 5 Each division is worth www.mathsrevision.com 1 1 litre ÷ 5 = 1000ml ÷ 5 = 200ml 200ml x 7 = 1400ml or 1.4 litres 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Liquid Volume Reading Scales How much liquid in the jug ? 2 ( Careful different scale) Count the number of small divisions Litres 2 1litre = 1000ml 4 Each division is worth www.mathsrevision.com 1 1 litre ÷ 4 = 1000ml ÷ 4 = 250ml 250ml x 7 = 1750ml or 1.75 litres 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales Reading Scales Calculate the weight each arrow is pointing at? 120g Count the number of small divisions 100g 5 200g Each division is worth www.mathsrevision.com 300g 100 ÷ 5 = 20g 280g 400g 500g 540g 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales Reading Scales Calculate the weight each arrow is pointing at? 200g 400g 600g 800g 1kg 80g Count the number of small divisions 5 Each division is worth www.mathsrevision.com 200 ÷ 5 = 40g 720g 1kg 20g 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Reading different scales Whole Numbers Reading Scales MNU 2-02a MNU 2-03a Reading Weights www.mathsrevision.com Reading different scales Scale Sheet 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Reading Scales MNU 2-02a MNU 2-03a Now try Exercise XX Ch1 (page XX) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com Addition and Subtraction MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1. We are learning the importance of layout when doing addition and subtraction. Using and understanding layout for addition and subtraction. 2. Be able to solve simple problems involving addition and subtraction. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Are there any errors in these sums. Whole Numbers Addition and Subtraction MNU 2-02a MNU 2-03a There are many reasons why pupils do not get the correct answer to addition and subtraction sums. 23 +9 23 9 23 + 9 www.mathsrevision.com 54 -8 8 -54 54 - 8 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers Proper layout www.mathsrevision.com Addition and Subtraction MNU 2-02a MNU 2-03a Proper layout www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers Now try Exercise XX Ch1 (page xx) www.mathsrevision.com Addition and Subtraction MNU 2-02a MNU 2-03a Now try Exercise XX Ch1 (page xx) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a Make up your own addition subtraction www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiply by 10, 100, 1000 MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1 We are learning how to multiply and divide simple whole numbers by 10, 100, 1000. Understand the simple rules to multiply and divide simple whole numbers. 2. Be able do simple calculations. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com Multiply by 10, 100, 1000 MNU 2-02a MNU 2-03a For this section you need to know your tables To multiply by 10, 100, 1000 To multiply by 10 simply add a zero to the number To multiply by 100 simply add 2 zero’s to the number www.mathsrevision.com To multiply by 1000 simply add 3 zero’s to the number Example : Multiply 36 by 10, 100, 1000. Guess rule for 1000 36 x 10 = 360 36 x 100 = 3600 36 x 1000 = 36000 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com Multiply by 10, 100, 1000 MNU 2-02a MNU 2-03a Example : A box of crisps contain 48 packets. How many in 100 boxes ? 48 x 100 = 4800 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com Divide by 10, 100, 1000 MNU 2-02a MNU 2-03a Try and write down rule for 100, 1000 To Divide by 10, 100, 1000 To divide by 10 remove a zero from the number To divide by 100 remove 2 zero’s from the number To divide by 1000 remove 3 zero’s from the number www.mathsrevision.com Example : Divide 54000 by 10, 100, 1000. 54000÷ 10 = 5400 54000 ÷ 100 = 540 54000 ÷ 1000 = 54 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Divide by 10, 100, 1000 MNU 2-02a MNU 2-03a Example : A box contains 1000 cups. How many boxes are needed to hold 7000 ? 7000 ÷ 1000 = 7 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Units of Length Converting Measurements Kilometres (km) metres (m) www.mathsrevision.com centimetres (cm) millimetres (mm) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Units of Length Converting Measurements Examples Convert 2m to cm : 2 x 100 = 200 cm Convert 4km to m : 4 x 1000 = 4000 m www.mathsrevision.com Convert 34cm to mm : 34 x 10 = 340 mm Convert 50cm to m : 50 ÷ 100 = 0.5 m 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Weight & Scales S4 Kilograms x 1000 grams 2kg 2 x 1000 2000g 1.5kg 1.5 x 1000 1500g www.mathsrevision.com ÷ 1000 Kilograms grams 3000g 3000 ÷ 1000 3kg 1500g 1500 ÷ 1000 1.5kg 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Converting Weights Examples Convert 4 kg to g : 4 x 1000 = 4000 g Convert 9 kg to g : 9 x 1000 = 9000 g www.mathsrevision.com Convert 2000 g to kg : 2000 ÷ 1000 = 2 kg Convert 5000 g to kg : 5000 ÷ 1000 = 5 kg 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiply & Divide by 10, 100, 1000 MNU 2-02a MNU 2-03a Now try Exercise 3 & 4 Ch1 (page 13) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 34o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiplying by a single number MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1 We are learning how to do multiply by a single digit. Remember your tables. 2. Apply appropriate layout and working for multiplying by a single digit. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers 23 x 9 23 9 23 x 9 Are there any errors in these sums. Addition and Subtraction MNU 2-02a MNU 2-03a There are many reasons why pupils do not get the correct answer to multiplication sums. 23 x 9 23 9 23 x 9 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com Multiplying by a single number MNU 2-02a MNU 2-03a To be able to multiply by a single digit you need to know your tables. Examples www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiplying by a single number MNU 2-02a MNU 2-03a Example : A palette holds 164 tins of paint. How many tins in 8 palettes. 164 x8 www.mathsrevision.com 1312 53 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiplying by a single number MNU 2-02a MNU 2-03a Now try Exercise 5 Ch1 (page 15) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 123o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Dividing by a single number MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1 We are learning how to do divide by a single digit. 1. Apply appropriate layout and working for dividing by a single digit. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers 586 ÷ 9 Are there any errors in these sums. Addition and Subtraction MNU 2-02a MNU 2-03a There are many reasons why pupils do not get the correct answer to division sums. www.mathsrevision.com 586 ÷ 9 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers Examples : 732 ÷ 8 950 ÷ 5 www.mathsrevision.com Dividing by a single number MNU 2-02a MNU 2-03a Use the following layout for dividing by a single digit. Examples : 732 ÷ 8 950 ÷ 5 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Dividing by a single number MNU 2-02a MNU 2-03a Example : A carton can hold 6 eggs. How many cartons are needed for 5436 eggs. 906 www.mathsrevision.com 5436 6 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Dividing by a single number MNU 2-02a MNU 2-03a Example : Copy and complete. 544 1853 1239 3808 7 9265 5 7434 6 www.mathsrevision.com 652 952 2336 5216 8 3808 4 7008 3 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Dividing by a single number MNU 2-02a MNU 2-03a Now try Exercise 7 Ch1 (page 17) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 36o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Multiply or Divide by 20,300,4000 Learning Intention Success Criteria 1. Understand the two step process to multiply or divide by 20, 300 etc… 1 We are learning how to divide by 20, 300, 4000 etc using our knowledge so far. www.mathsrevision.com 2. Show all working. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com Multiply or Divide by 20,300,4000 MNU 2-02a MNU 2-03a By combining our knowledge so far of “multiplying / dividing by 10, 100, 1000” and “multiplying / dividing by a single digit” we can do harder calculations. We use a TWO step process. www.mathsrevision.com Example 1 : Calculate 20 x 52 20 can be written as 2 x 10 so we have : 2 x 10 x 52 = Step 1 : 10 x 52 = 520 Step 2 : 2 x 520 = 1040 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiply or Divide by 20,300,4000 MNU 2-02a MNU 2-03a Example 2 : Calculate 44 x 30 30 can be written as 10 x 3 so we have : 44 x 10 x 3 = Step 1 : 44 x 10 = 440 Step 2 : 440 x 3 = 1320 www.mathsrevision.com Example 3 : Calculate 300 x 35 300 can be written as 3 x 100 so we have : 3 x 100 x 35 = Step 1 : 100 x35 = 3500 Step 2 : 3500 x 3 = 10500 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiply or Divide by 20,300,4000 MNU 2-02a MNU 2-03a Example 4 : Calculate 16000 ÷ 200 Since 200 divide by 100 then divide by 2: 16000 ÷ 100 ÷ 2 = www.mathsrevision.com 160 Step 1 : 16000 ÷ 100 = 80 Step 2 : 160 ÷ 2 = 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Multiply or Divide by 20,300,4000 MNU 2-02a MNU 2-03a Example 5 : Calculate 120000 ÷ 6000 Since 6000 divide by 1000 then divide by 6: 120000 ÷ 1000 ÷ 6 = www.mathsrevision.com 120 Step 1 : 120000 ÷ 1000 = 20 Step 2 : 120 ÷ 6 = 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Multiply or Divide by 20,300,4000 Now try Exercise 8 Ch41 (page 19) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 28o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a Learning Intention Success Criteria 1. Understand the rules for rounding to the nearest 10, 100, 1000. 1. We are learning to round numbers to the nearest 10, 100 and 1000. 2. Apply rules to problems. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a To round to the nearest 10 : look at the units digit: - If it is a 0, 1, 2, 3, 4 leave the 10’s digit as it is. - If it is a 5, 6, 7, 8, 9 round the 10’s digit up by 1. www.mathsrevision.com To round to the nearest 100 : look at the tens digit: - If it is a 0, 1, 2, 3, 4 leave the 100’s digit as it is. - If it is a 5, 6, 7, 8, 9 round the 100’s digit up by 1. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a To round to the nearest 1000 : look at the hundreds digit: - If it is a 0, 1, 2, 3, 4 leave the 1000’s digit as it is. - If it is a 5, 6, 7, 8, 9 round the 1000’s digit up by 1. www.mathsrevision.com Example : Round 3467 to the nearest 10, 100, 1000 The nearest 10 : 3467 3470 - look at the units digit : The nearest 100 : 3467 3500 - look at the tens digit : The nearest 1000 :3467 3000 - look at the hundreds digit: 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a Example : Round 18 565 to the nearest 10, 100, 1000 The nearest 10 : 18 565 - look at the units digit : 18 570 The nearest 100 : 18 565 - look at the tens digit : 18 600 The nearest 1000 :18565 - look at the hundreds digit: 19 000 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a Now try Exercise 9 Ch1 (page 21) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions MNU 2-02a MNU 2-03a www.mathsrevision.com 42o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Using Rounding to Estimate Answers Learning Intention Success Criteria 1. Remember how to round numbers to a whole number. 1. We are learning how estimate answer by rounding. 2. Estimate the answer to a difficult calculation using easier whole numbers. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Whole Numbers www.mathsrevision.com 40 x 50 = 400 x 5 = 2000 MNU 2-02a MNU 2-03a Using Rounding to Estimate Answers It is very important when solving problems that we have a rough idea of the answer we are expecting. Example : Mentally estimate the answer to 42 x 49 Easiest way, is to round the two numbers first www.mathsrevision.com 40 x 50 = 400 x 5 = 2000 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Using Rounding to Estimate Answers Example : Mentally estimate the answer to 104 x 19 Easiest way, is to round the two numbers first 100 x 20 = 1000 x 2 = 2000 www.mathsrevision.com Example : Mentally estimate the answer to 878 ÷ 27 Easiest way, is to round the two numbers first 900 ÷ 30 = 90 ÷ 3 = 30 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Using Rounding to Estimate Answers Now try Exercise 10 Ch1 (page 22) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept.