Division Carly Hill c hilleastcoast ac uk Week

Division Carly Hill (c. hill@eastcoast. ac. uk) Week 08 – w/b 19/10/20 • Recap non-calculator addition, subtraction and multiplication • Recap place value and decimals • Identify sequences and count on to work out next numbers • Use calculator and non-calculator methods of division • Use BIDMAS when working with more than one operation

KWL Chart What I Know What I Want to know What I have Learned

Recap • Addition, subtraction and multiplication practice: • 62 – 41 = • 304 – 187 = • 109 – 75 = • 807 – 273 = • 94 + 17 = • 1026 + 729 = • 327 + 901 = • 2284 + 30298 = • 7 x 11 = • 18 x 63 = • 147 x 73 = • 204 x 86 =

Estimating Round these numbers to the nearest 10, then use these to answer the questions: • 37 + 9 = • 11 + 16 = • 53 – 21 = • 98 – 49 = • 106. 2 + 86. 6 = • 304. 25 + 101. 68 = • 346. 01 – 123. 97 = • 582. 8 – 384. 2 = • 250 – 12. 948 =

Place value • Fill in the missing place values: • Break down the number 3, 287, 263 using the place value chart above. • What is the value of the 5 in the number 261. 051?

Sequences • These sequences are arithmetic sequences. Find the difference between each one and keep adding it to continue the sequence. • Carry on these sequences (write the next five in the sequence): • 40, 50, 60, 70, 80 • 300, 400, 500 • 150, 200, 250, 300 • 75, 85, 95

Sequences Write the first five numbers in a sequence for each of these descriptions. Carry on a sequence where: • It is all even numbers 2, 4, 6, 8, 10 • It adds 5 each time 5, 10, 15, 20, 25 • Each number is 3 bigger than the last 3, 6, 9, 12, 15 • The next number is half of the previous one 100, 50, 25, 12. 5, 6. 25 • All numbers are in the 6 times table 6, 12, 18, 24, 30 • It is Fibonacci (next number is the last 2 added together) 1, 1, 2, 3, 5

Division is sharing into equal groups. We use the ÷ sign. Sometimes, computers use / instead. We can draw objects to help us share them: Dividing is the opposite of multiplying. It is not commutative (it matters which way around the numbers are) This method works best with smaller numbers There are 12 chocolates and 3 friends want to share them. How can they share them fairly? 12 ÷ 3 = 4 Examples here: https: //www. mathsisfun. com/numbers/division. html

Division Have a go at these examples (try without a calculator first, then check your answers with a calculator): • • • 80 ÷ 8 = 42 ÷ 7 = 72 ÷ 9 = 45 ÷ 5 = 28 ÷ 7 = 21 ÷ 7 = 17 ÷ 8 = 56 ÷ 7 = 40 ÷ 10 = 48 ÷ 8 = • 91 ÷ 8 = • 104 ÷ 3 = • 762 ÷ 9 = • 1062 ÷ 4 = • 86 ÷ 7 =

Division When numbers can’t be shared perfectly, we use remainders. These tell us how many are left over after sharing. Show remainders for these questions: • 21 ÷ 5 = • 12 ÷ 7 = • 10 ÷ 3 = • 15 ÷ 4 = • 26 ÷ 5 = • 30 ÷ 8 = • 48 ÷ 5 = Check answers: https: //www. mathsisfun. com/definitions/division. html

Short division • Short division is also called the bus stop method. • It helps us work with bigger numbers. • It looks like this: Have a go: • 80 ÷ 2 = • 60 ÷ 3 = • 35 ÷ 5 = • 28 ÷ 7 = • 72 ÷ 8 = 950 ÷ 4 = • 126 ÷ 4 = • 91 ÷ 7 = Watch this video for an example: https: //www. youtube. com/watch? v=g. Ad 85 C 4 u. Wqw • 492 ÷ 3 = • 716 ÷ 5 = • 1736 ÷ 8 =

Short division More good explanations and examples here: Without remainders: https: //www. mathswithmum. com/short-division-without -remainders/ With remainders: https: //www. mathswithmum. com/short-division-withremainders/

Short division We can turn those remainders into decimals to get a more accurate and precise answer: 846 ÷ 4 = 211 r 2 4|846 Have a go: 37 ÷ 2 = 61 ÷ 5 = 846 ÷ 4 = 211. 5 4 | 8 4 6. 20 Add a 0, carry the remainder and keep going until there are no remainders left (Examples here: https: //www. mathswithmum. com/shortdivision-with-decimal-remainders/) 49 ÷ 5 = 121 ÷ 4 = 216 ÷ 5 = 382 ÷ 3 =

Division recap Work through the division section of My. Maths: https: //static. mymaths. co. uk/xml/player/v 2. 2. 9/build/in dex. html? content. Path=. . /en/primary/number/multip ly_divide_written/short_division_lesson

BIDMAS Brackets, Indices, Division, Multiplication, Addition, Subtraction (also called BODMAS, PEMDAS or BEDMAS) • BIDMAS tells you the order to work out a calculation: Brackets first Have a go: Indices (squared 2, cubed 3) 6+3 x 4= Division and Multiplication (work left to right) 11 + 5 – 3 = Addition and Subtraction (work left to right) 10 ÷ 2 + 3 = 4 + 2 x 3 = 6, 6 + 4 = 10 9 – 4 + 3 = 9 – 4 = 5, 5 + 3 = 8 15 – 6 + 1 = 57 x 3 ÷ 6 + 4 = 106 ÷ 3 – 9 + 17 = More examples: https: //www. mathsisfun. com/operation-order-bodmas. html