Revision: Column addition including adding decimals. Column subtraction including subtracting...
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Transcript of Revision: Column addition including adding decimals. Column subtraction including subtracting...
Revision: Column addition including adding decimals. Column subtraction including subtracting decimals.
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H T U H T U H T U
2 4 6 6 3 2 4 2 0
+ 1 2 7 + 5 6 + 2 3 8
3 7 3 6 8 8 6 5 8
H T U H T U H T U
5 5 9 3 4 6 7 4
+ 1 4 1 + 9 0 2 + 5 2 3
7 0 0 1 2 4 8 5 9 7
Adding Numbers
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T U 1/10 T U 1/10 T U 1/10
3 0 7 2 4 9 3 7 3
+ 4 2 9 + 7 2 7 + 1 1 7
7 3 6 9 7 6 4 9 0
T U 1/10 T U 1/10 T U 1/10
3 0 9 5 2 9 6 7 2 7
+ 7 0 2 + 3 0 9 + 2 5 3
3 7 9 7 6 0 5 9 8 0
Adding Decimals
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H T U H T U H T U
3 7 2 5 3 8 5 3 5
- 2 1 5 - 2 5 2 - 3 3 9
1 5 7 2 8 6 1 9 6
H T U H T U H T U
6 0 9 2 5 5 9 7 7
- 2 0 1 - 1 2 8 - 4 2 7
4 0 8 1 2 7 5 5 0
Subtracting Numbers
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T U 1/10 T U 1/10 T U 1/10
8 7 7 4 4 7 3 2 1
- 6 2 6 - 3 5 7 - 2 1 9
2 5 1 9 0 1 0 2
H T 1/10 T U 1/10 T U 1/10
5 2 7 3 9 4 7 7 5
- 4 3 1 - 1 0 6 - 3 3 3
9 6 2 8 8 4 4 2
Subtracting Decimals
Starter Questions
75% of £ 200Q1. Calculate
Q2. Round to 1 decimal place 2.354.
Q3. How many minutes in 3hours
Q4. The answer to the question is 180. What is thequestion.
Revision: Multiply two digit numbersMultiply decimal numbers.
Learning Objective
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H T U H T U H T U
3 7 2 3 8 4 0 5
x 5 x 9 x 9
1 8 6 0 3 4 2 3 6 4 5
H T U H T U H T U
4 1 4 6 2 7 7
x 5 x 7 x 7
2 0 7 0 4 3 4 5 3 9
Multiplying Numbers
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3 5 x 3 4 6 1 x 2 3
30 5 60 1
x 30 900 150 1050 20 1200 20 1220
4 120 20 +140 3 180 3 +183
1 1 9 0 = 1 4 0 3
Multiplying 2 Digit Numbers: Grid Method
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2 3 x 6 6 3 5 x 2 9
20 3 30 5
x 60 1200 180 1380 20 600 100 700
6 120 18 +138 9 270 45 +315
1 5 1 8 = 1 0 1 5
Multiplying 2 Digit Numbers: Grid Method
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4.6 x 36 18 x 3.5
4 0.6 10 8
x 30 1200 180 1380 3 600 100 700
6 120 18 +138 0.5 270 45 +315
1 5 1 8 = 1 0 1 5
Multiplying Decimal Numbers: Grid Method
MNU 2-10aMNU 2-10b
Starter QuestionsStarter Questions
o o
2. What kind of angle is this
3. 56.98 10
4. Name the angle that is between 180 and 360
1. Calculate 14 x 100
Revision: Use bus stop method to divide including dividing with decimal remainders.
Learning Objective
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4 3 4 ÷ 7 6 1 5 ÷ 5
6 2 1 2 3
7 4 3 4 5 6 1 5
4 2 6 ÷ 3 6 5 4 ÷ 6
1 4 2 1 0 9
3 4 2 6 6 6 5 6
Dividing Numbers
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1 6 4 ÷ 5 3 8 5 ÷ 4
5 1 6 4 4 3 8 5
3 5 5 ÷ 9 2 1 7 ÷ 5
3 1
9 3 5 1 5 2 1 7
Dividing Numbers
Now try these…
CHUNKING
Starter Questions
o o
2. What kind of angle is this
3. 1.268 100
4. Name the angle that is between 0 and 90
1. Calculate 41.9 x 100
Revision: Find fractions of quantities.
Learning Objective
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Finding Fractions of Numbers
1
3 This is the denominator
This is the numerator
To find a fraction of a number you can do this:
1) Divide the whole number by the denominator.
2) Multiply this answer by the numerator.
1
3of 15 1) 15 ÷ 3 = 5
2) 5 x 1 = 5= 5
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Linking Fractions and DivisionFractions and dividing are very similar. The denominator is what you divide by. Click on the fractions to match them to the division questions:
1/3 of 24
1/6 of 24
1/2 of 24
1/8 of 24
24 ÷ 3
24 ÷ 2
24 ÷ 8
24 ÷ 6
= 8
= 12
= 3
= 4
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Finding More Fractions of Numbers
Remember: Divide the whole number by the denominator. Multiply this answer by the numerator.
2/3 of 21
3/5 of 20
3/4 of 16
Divide the whole number by the denominator
Multiply this answer by the numerator.
21 ÷ 3 = 7 7 x 2 = 14
Answer
14
20 ÷ 5 = 4 4 x 3 = 12 12
16 ÷ 4 = 4 4 x 3 = 12 12
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Finding More Fractions of Numbers
Remember: Divide the whole number by the denominator. Multiply this answer by the numerator.
2/6 of 30
3/10 of 50
2/3 of 600
Divide the whole number by the denominator
Multiply this answer by the numerator.
30 ÷ 6 = 5 5 x 2 = 10
Answer
10
50 ÷ 10 = 5 5 x 3 = 15 15
600 ÷ 3 = 200 200 x 2 = 400 400
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Finding Fractions of NumbersClick on the question to reveal the answer
30 ¾ of 40
21
5
40
20
10
36
8
12
10
9
35
7/10 of 30
1/3 of 15
4/5 of 50
¼ of 80
2/5 of 25
4/6 of 54
2/7 of 28
3/20 of 80
5/9 of 18
3/8 of 24
5/6 of 42
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Using a Calculator to Find Fractions of Numbers
Click on the question to reveal the answer
37.5 ¾ of 50
126
63
22.5
126
182
54
195
57
2/5 of 315
1/3 of 189
¼ of 90
6/7 of 147
2/6 of 546
3/20 of 360
5/9 of 351
3/8 of 152
Starter Questions
Q1. Convert to 24hr clock
Q2. Round to 1 decimal place 103.525
Q3. How many minutes in 6 hours
Q4. Find the time difference between 5.12am and 2.34pm
8.15am 10.02pm
Revision: Find percentages of numbers.
Learning Objective
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Finding Percentages of Numbers
30% of 40
1) Find 10% first. This can be done by dividing the number by 10
10% of 40 = 4
2) If 10% = 4, then 30% = 12 (there are 3 lots of 10% in 30%)
100% = 4090% = 3680% = 3270% = 2860% = 2450% = 2040% = 1630% =1220% = 810% = 4
This box represents 40
30% of 40 = 12
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Finding Percentages of Numbers
Remember: To find 10%, first divide the whole
number by 10.
30% of 60
60% of 20
20% of 200
Find 10% first Multiply this by how many lots of 10% there are
60 ÷ 10 = 6 6 x 3 = 18
Answer
18
20 ÷ 10 = 2 2 x 6 = 12 12
200 ÷ 10 = 20 20 x 2 = 40 40
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Finding Smaller Percentages of Numbers
6% of 300
1) Find 1% first. This can be done by dividing the number by 100
1% of 300 = 3
2) If 1% = 3, then 6% = 18 (there are 6 lots of 1% in 6%)
6% of 300 = 18
9 1215183 6
This box represents 300. Each square is worth 1%
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Finding Percentages of Numbers
Remember: To find 1%, first divide the whole number by
100.
6% of 400
15% of 80
7% of 500
Find 1% first Multiply this by how many lots of 1% there are
400 ÷ 100 = 4 4 x 6 = 24
Answer
24
80 ÷ 100 = 0.8
0.8 x 15 = 12 12
500 ÷ 100 = 5 5 x 7 = 35 35
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Finding Percentages of NumbersClick on the question to reveal the answer
8 20% of 40
6
10
42
198
15
32
12
30
10
72
400
20% of 30
2% of 500
70% of 60
99% of 200
30% of 50
40% of 80
60% of 20
3% of 1,000
5% of 200
12% of 600
2% of 20,000
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Using a Calculator to Find Percentages of Numbers
Click on the question to reveal the answer
90 20% of 450
147.6
1,012
164.9
246.4
48
150
67.5
1,011
18% of 820
23% of 4,400
97% of 170
44% of 560
8% of 600
6% of 2,500
15% of 450
30% of 3,370