Arithmetic Revision Before starting please listen to the

Arithmetic Revision Before starting, please listen to the audio and watch what happens on the slides for revision purposes. Write the answers in the space provided on the slides.

Please click on the link: https: //www. khanacademy. org/math/arithmetic-home/multiplydivide/multi-digit-mult/v/multiplication-5 -2 -digit-times-a-2 digit-number

$1 ⅓ + 5 3/4 Step 1: Change mixed fraction to improper fractions ●$

1 ⅓ + 5 3/4 Step 1: Change mixed fraction to improper fractions ● 1 1/3 = 4/3 (denominator by whole number + numerator to get the top number and keep the denominator - 1 x 3 + 1 = 4/3) ● 5 3/4 = 23/4 (4 x 5 + 3 = 23 and keep denominator = 23/4) Step 2: Find the common denominator and change fractions into the common denominator ● Common denominator is 12 as it is in the three and four times tables. ● 4/3 is 16/12 ● 23/4 is 69/12 Step 3: Add the fractions together and change into mixed fraction again ● 69/12 + 16/12 = 85/12 ● 85/12 = 7 1/12 - How many times does 12 go into 85 which is 7 with a remainder of 1 which is 1/12

$4 5/6 - 3 1/3 Step 1: Change mixed fraction to improper fractions ●$

4 5/6 - 3 1/3 Step 1: Change mixed fraction to improper fractions ● 4 5/6 = 29/6 (denominator by whole number + numerator to get the top number and keep the denominator - 6 x 4 + 5 = 29/6) ● 3 1/3 = 10/3 (3 x 3 + 1 = 10 and keep denominator = 10/3) Step 2: Find the common denominator and change fractions into the common denominator ● Common denominator is 6 as it is in the three and six times tables. ● 29/6 stays the same ● 10/3 is 20/6 Step 3: Subtract the fractions together and change into mixed fraction again ● 29/6 - 20/6 = 9/6 = 1 3/6 or 1 1/2 ● 9/6 - How many times does 6 go into 9 which is 1 with a remainder of 3 which is 3/6 or also known as a half

$5/6 x 5 Step 1: Put all the numbers into fractions. ● 5/6 is$

5/6 x 5 Step 1: Put all the numbers into fractions. ● 5/6 is already a fraction so we do not need to change. ● 5 is not. However remember every whole number is over one. 5 can be written a 5/1. ● Calculation can be written as 5/6 X 5/1. Step 2: Multiply across ● We multiply 5 X 5 = 25 and 6 X 1 = 6. ● Answer is 25/6. Step 3: If necessary put into a mixed fraction ● 25/6 = 4 1/6 - How many times does 6 go into 25 which is 4 with a remainder of 1 which is 1/6.

$2 2/5 x 3 Step 1: Change all numbers into fractions including mixed fraction$

2 2/5 x 3 Step 1: Change all numbers into fractions including mixed fraction to improper fractions ● 2 2/5 = 12/5 (denominator by whole number + numerator to get the top number and keep the denominator - 5 x 2 + 2 = 12/5) ● 3 is not a fraction. Remember every whole number is over one so 3 can be written as 3/1. Step 2: Multiply across ● Calculation can be written as 12/5 x 3/1. Multiply 12 x 3 = 36 and 5 x 1 = 5. ● Answer can be written as 36/5. Step 3: If necessary change into mixed fraction again ● 36/5 = 7 1/5 - How many times does 5 go into 36 which is 7 with a remainder of 1 which is 1/5.

1. 23 x 10 TTH TH H T O . 1 1/10 . 1/100 2 1/1000 3 Step 1: Put into place value grid. Step 2: Think how many places it moves and in what direction. ● Thinking when multiplying by ten all numbers move one place value to the left. Step 3: Move the numbers in the place value grid(use of arrows to support). TTH TH H T 1 O . 1/100 1 . 2 3 2 . 3 1/1000

14. 9 x 100 TTH TH H T O 1 . 4 1/10 . 1/1000 9 Step 1: Put into place value grid. Step 2: Think how many places it moves and in what direction. ● Thinking when multiplying by hundred all numbers move two place values to the left. Step 3: Move the numbers in the place value grid(use of arrows to support). TTH TH 1 H 4 T O . 1/10 1 4 . 9 9 0 . 0 1/1000

1. 23 ÷ 10 TTH TH H T O . 1 1/10 . 1/100 2 1/1000 3 Step 1: Put into place value grid. Step 2: Think how many places it moves and in what direction. ● Thinking when dividing by ten all numbers move one place value to the right. Step 3: Move the numbers in the place value grid(use of arrows to support). TTH TH H T O . 1/100 1 . 2 3 0 . 1 2 1/1000 3

14. 9 ÷ 100 TTH TH H T O 1 . 4 1/10 . 1/1000 9 Step 1: Put into place value grid. Step 2: Think how many places it moves and in what direction. ● Thinking when dividing by hundred all numbers move two place values to the right. Step 3: Move the numbers in the place value grid(use of arrows to support). TTH TH H T O . 1/10 1 4 . 9 0 . 1 1/100 4 1/1000 9

$10% of 360 Step 1: Change percentage into fraction. ● I know that 10%$

10% of 360 Step 1: Change percentage into fraction. ● I know that 10% can be changed into a fraction. 10% as a fraction is 10/100 or simplified 1/10. Remember everything as a percentage will always have a denominator of 100 but it can be simplified by dividing the numerator and denominator by the same number. Step 2: Divide by the bottom and multiply by the top ● Divide by the bottom: 360 ÷ 10 = 36 because I know that when I divide by 10 everything moves one place to the right. ● Multiply by the top: 36 (my answer from dividing it by 10) x 1 (my numerator). The answer is 36

$30% of 490 Step 1: Change percentage into fraction. ● I know that 30%$

30% of 490 Step 1: Change percentage into fraction. ● I know that 30% can be changed into a fraction. 30% as a fraction is 30/100 or simplified 3/10. Remember everything as a percentage will always have a denominator of 100 but it can be simplified by dividing the numerator and denominator by the same number. Step 2: Divide by the bottom and multiply by the top ● Divide by the bottom: 490 ÷ 10 = 49 because I know that when I divide by 10 everything moves one place to the right. ● Multiply by the top: 49 (my answer from dividing it by 10) x 3 (my numerator). The answer is 147

$60% of 125 Step 1: Change percentage into fraction. ● I know that 60%$

60% of 125 Step 1: Change percentage into fraction. ● I know that 60% can be changed into a fraction. 60% as a fraction is 60/100 or simplified 6/10. Remember everything as a percentage will always have a denominator of 100 but it can be simplified by dividing the numerator and denominator by the same number. Step 2: Divide by the bottom and multiply by the top ● Divide by the bottom: 125 ÷ 10 = 12. 5 because I know that when I divide by 10 everything moves one place to the right. ● Multiply by the top: 12. 5 (my answer from dividing it by 10) x 6 (my numerator). The answer is 75. 0.

60% of 125 TH H 1 1 X 7 2 . 5 . T O 2 5 1 2 5 6 0 . . 1/10 5 1/1000

$40% of 499 Step 1: Change percentage into fraction. ● I know that 40%$

40% of 499 Step 1: Change percentage into fraction. ● I know that 40% can be changed into a fraction. 40% as a fraction is 40/100 or simplified 4/10. Remember everything as a percentage will always have a denominator of 100 but it can be simplified by dividing the numerator and denominator by the same number. Step 2: Divide by the bottom and multiply by the top ● Divide by the bottom: 499 ÷ 10 = 49. 9 because I know that when I divide by 10 everything moves one place to the right. ● Multiply by the top: 49. 9 (my answer from dividing it by 10) x 4 (my numerator). The answer is 199. 6.