Multiplying Numbers and Decimals.
Use a Calculator Efficiently.
Calculate with Decimals
Solve Real Life Problems
Add / Subtract 3 or 4 digits
Use BIDMAS (Or BODMAS)
Multiply or divide by 2, 3
or 4 digits
Multiply by a Single digitLevel 3
Grade G
Level 4
Grade F
Level 5
Grade E
Level 6/7
Grade D/C
On Your Mini Whiteboards…
•37 x 424
•9 x 1.6
•2.1 x 0.36
Learning Objectives (Today)
• To be able to use the grid method to multiply large numbers
• To use this knowledge in answering multiplication questions with decimals.
• To solve problems in Real Life contexts.
Multiplying Numbers…….
• If the number 3561 is made up of;3000 + 500 + 60 + 1
• And the number 4020 is made up of;4000 + 20
• What are the following numbers made up of?1. 25682. 20203. 50034. 3205. 424
2000 + 500 + 60 + 82000 + 205000 + 3300 + 20400 + 20 + 4
Quick Methods….• To calculate 20 x 30 I can use a quick method…a) Calculate the sum without the 0’s
2 x 3 = 6b) Add the 0’s back in to the calculation
There were two zero’s in my original calculation so my answer would be 6 + 00, or 600.Try these…1. 20 x 402. 20 x 503. 200 x 3004. 500 x 70005. 2000 x 90 x 200
8001,00060,0003,500,00036,000,000
Multiplying using the grid method.• 22 x 37…..
20 2
30
7
600+ 140+ 60+ 14
= 814
600 60
140 14
The Grid Method….• 461 x 22…..
400 60 1
20
2
8000 1200 20
800 120 2
8000+ 1200+ 20+ 800+ 120+ 2
= 10142
StandardHarder
On Your Mini Whiteboards…
•37 x 424
•9 x 1.6
•2.1 x 0.36
Plan for Number Scheme of Work…..
Use a Calculator Efficiently.
Calculate with Decimals
Solve Real Life Problems
Add / Subtract 3 or 4 digits
Use BIDMAS (Or BODMAS)
Multiply or divide by 2, 3
or 4 digits
Multiply by a Single digitLevel 3
Grade G
Level 4
Grade F
Level 5
Grade E
Level 6/7
Grade D/C
Learning Objectives (Today)
• To be able to use the grid method to multiply large numbers
• To use this knowledge in answering multiplication questions with decimals.
• To solve problems in Real Life contexts.
5
2584
Double decimal trouble!
=43 x 67..
REMEMBER
Old answer was…2
Count the decimal places!
48
2
2
.
25.84
153
56 x 0
Decimal dilemma!
Where would the decimal point go in these answers?
7 x 36 =1692.4
45 =2520..
4.76 23 x. =46102
0 03 x. 0 51. =
153
56 x 0
Decimal dilemma!
Where would the decimal point go in these answers?
7 x 36 =1692..4
45 =25 20..
4.76 23 x. =46102.
0 03 x. 0 51. = 0.00.0153
Re-Cap…..
• Do the calculation as normal without the decimal points.
• Count how many times the numbers (or decimal point if it helps) have moved.
• Move the same number in your answer.
Words! Words!
26 people each buy a ticket to see a show.Each ticket cost £7.60. How much did theypay altogether?
A box of sweets costs £5.45. Ben buys32 boxes for his shop. How much did he pay?
Catherine wants to book a hotel room forher holiday. She wants to book for 17 nights.The room costs £37.86 per night.
1 2
3 4
Work out the answer to each question.You MUST show your working out!
£197.60 £174.40
£643.62
£55.83
a) How much will the room cost?
b) She counts her money and finds she has £587.79. How much extra does she need?
John wants to book a meal for him and 38other friends to celebrate his 30th birthday.Each meal costs £17.79. John has saved £700.
£693.81
Yes by £6.19
a) How much will the meal cost John?
b) Has John saved enough money, and if so, by how much?
On Your Mini Whiteboards…
•37 x 424
•9 x 1.6
•2.1 x 0.36
Plan for Number Scheme of Work…..
Use a Calculator Efficiently.
Calculate with Decimals
Solve Real Life Problems
Add / Subtract 3 or 4 digits
Use BIDMAS (Or BODMAS)
Multiply or divide by 2, 3
or 4 digits
Multiply by a Single digitLevel 3
Grade G
Level 4
Grade F
Level 5
Grade E
Level 6/7
Grade D/C
Learning Objectives (Today)
• To be able to use the grid method to multiply large numbers
• To use this knowledge in answering multiplication questions with decimals.
• To solve problems in Real Life contexts.
• Reflection on Today’s lesson….
• Give yourself a colour for Work ethic and a number for Understanding
Today I have
enjoyed…