Step 1

Whole Numbers
Title: Page %d of %d
Place Values
Title: Page %d of %d
In the Number 32 654:
the
the
the
the
the
3
2
6
5
4
stands
stands
stands
stands
stands
Title: Page %d of %d
for
for
for
for
for
three tens of thousands
two thousand
six hundred
five tens
four units
30
32
32
32
32
32
000
000
600
650
654
654
In the Number 75 630:
the
the
the
the
the
7
5
6
3
0
stands
stands
stands
stands
stands
Title: Page %d of %d
for
for
for
for
for
seven tens of thousands
five thousand
six hundred
three tens
zero units
70
75
75
75
75
75
000
000
600
630
630
630
Add/Subtract
Whole Numbers
Title: Page %d of %d
Add 290 + 420 "in your head"
You could:
Then:
290 + 400 = 690
690 + 20 = 710
or
You could:
Then:
300 + 420 = 720
720 - 10 = 710
Do you have any other methods?
Title: Page %d of %d
Try 480 - 250 "in your head"
You could:
Then:
480 - 200 = 280
280 - 50 = 230
or
You could:
Then:
500 - 250 = 250
250 - 20 = 230
Do you have any other methods?
Title: Page %d of %d
Multiply & Divide
Whole Numbers
Title: Page %d of %d
When you multiply by 10:
Place one zero at the end of the number
When you multiply by 100:
Place two zeros at the end of the number
When you multiply by 1000:
Place three zeros at the end of the number
Title: Page %d of %d
325 × 10 = 325 0
36 000 × 10 = 360 00 0
716 × 100 = 71 6 00
12 100 × 100 = 1 210 0 00
661 × 1000 = 661 000
65 032 × 1000 = 65 032 000
Title: Page %d of %d
When you divide by 10:
Remove one zero at the end of the number
When you divide by 100:
Remove two zeros at the end of the number
When you divide by 1000:
Remove three zeros at the end of the number
Title: Page %d of %d
3200 ÷ 10 = 320
17 160 ÷ 10 = 1716
572 000 ÷ 100 = 5720
1 235 000 ÷ 100 = 12 350
224 000 ÷ 1000 = 224
23 214 000 ÷ 1000 = 23 214
Title: Page %d of %d
Multiplication by
a Single Digit
Title: Page %d of %d
Title: Page %d of %d
5 × 3 = 15
Put in the 5
and carry the 1
Title: Page %d of %d
5 × 4 = 20
20 + carried 1 = 21
Put in the 1
and carry the 2
1
Title: Page %d of %d
5 ×1 = 5
5 + carried 2 = 7
Put in the 7
2 1
Title: Page %d of %d
Answer is 715
2 1
Title: Page %d of %d
Long
Multiplication
Title: Page %d of %d
227 × 35 =
Title: Page %d of %d
Step 1:
Multiply 227 by 5
Title: Page %d of %d
Step 2:
Multiply 227 by 30!!!!
Title: Page %d of %d
Step 2:
Multiply 227 by 30!!!!
It is easier to put a
zero below the 5
then
Multiply 227 by 3
Title: Page %d of %d
Step 3:
Add your two answers
Title: Page %d of %d
7945 is the answer
Title: Page %d of %d
Division by a
Single Digit
Title: Page %d of %d
372 ÷ 4
Title: Page %d of %d
372 ÷ 4
4 does not go
into 3
"move on a digit"
Title: Page %d of %d
372 ÷ 4
4 goes into 37
9 times
remainder 1
Move on a digit
Title: Page %d of %d
372 ÷ 4
1
Title: Page %d of %d
4 goes into 12
3 times
no remainder
372 ÷ 4
93 is the answer
Title: Page %d of %d
4562 ÷ 7
Title: Page %d of %d
4562 ÷ 7
7 does not go
into 4
"move on a digit"
Title: Page %d of %d
4562 ÷ 7
7 goes into 45
six times
remainder 3
"move on a digit"
Title: Page %d of %d
4562 ÷ 7
3
7 goes into 36
five times
remainder 1
"move on a digit"
Title: Page %d of %d
4562 ÷ 7
3
1
7 goes into 12
once
remainder 5
show the
remainder
Title: Page %d of %d
4562 ÷ 7
3
1
651 r 5
is the answer
Title: Page %d of %d
Multiplying by
Multiples of
10, 100 & 1000
Title: Page %d of %d
Multiples of 10:
(numbers that appear in the 10 times table)
i.e.
20, 30, 40 .....
Multiples of 100:
(numbers that appear in the 100 times table)
i.e.
200, 300, 400 .....
Multiples of 1000:
(numbers that appear in the 1000 times table)
i.e.
2000, 3000, 4000 .....
Title: Page %d of %d
To multiply by 20, 300, 4000 etc.
Step 1:
Multiply by the 10 or 100 or 1000 first
Step 2:
Then multiply by the 2, 3, 4 etc.
Title: Page %d of %d
e.g.
Step 1: find 127 × 1000
Title: Page %d of %d
127 × 6000
e.g.
127 × 6000
Step 1: find 127 × 1000 = 127000
Step 2: now find
Title: Page %d of %d
127000
× 6
e.g.
127 × 6000
Step 1: find 127 × 1000 = 127000
Step 2: now find
127000
12 × 6
762000
127 × 6000 = 762 000
Title: Page %d of %d
Dividing by
Multiples of
10, 100 & 1000
Title: Page %d of %d
To divide by 20, 300, 4000 etc.
Step 1:
Cancel out equal number of zeros
Step 2:
Then do the simpler division
Title: Page %d of %d
e.g.
Step 1: 72 000 ÷ 300
Title: Page %d of %d
72 000 ÷ 300
e.g.
Step 1: 72 000 ÷ 300
Step 2: 720 ÷ 3
Title: Page %d of %d
72 000 ÷ 300
e.g.
72 000 ÷ 300
Step 1: 72 000 ÷ 300
Step 2: 720 ÷ 3
240
3 720
72 000 ÷ 300 = 240
Title: Page %d of %d