Download Whole Numbers - Blue Ridge CPP

Whole Numbers
Ms. Crusenberry
9-2013
Place Value
What is the place value?
Of the underlined number
1. 526
2. 4015
3. 6203
4. 51781
5. 62300
6. 16253000
7. 142310156
Answers
1.
2.
3.
4.
5.
6.
7.
Hundreds
Tens
Thousands
One
Ten thousands
Hundred thousands
Ten millions
Rounding Whole Numbers
Rule 1 – always use the number to the
right of the place value you are rounding
to
 Rule 2 – 5 or higher you go up; 4 or less
stays the same

Example – round to hundreds place
136 would be 100
482 would be 500
Practice

Round to the nearest tens place
a. 365
b. 41

Round to the nearest hundreds place
a. 5420
b. 856

Round to the nearest thousands place
a. 6581
b. 1465
Answers
370
40
5400
900
7000
1000
Adding Whole Numbers
Addend – a number that is added to one
or more numbers
 Addition – the arithmetic operation of
combining numbers to find their sum
 Order – sequence from smallest to
largest
 Sum – the answer to an addition problem
 Zero – the first whole number

Single Digit Addition

Example:
7
+ 5
12
addend
addend
sum
Practice
1.
4+6
2.
8+4
3.
9+0
4.
4+5
Answers
1.
2.
3.
4.
10
12
9
9
Adding Two Digit Numbers

Start with the ones and add to your left. If
the sum of two numbers is more than 9,
then carry over the tens to the tens
column.
1
Example:
35
64
+ 3
+ 7
38
71
Practice
1.
23 + 6
2.
54 + 8
3.
63 + 5
4.
35 + 7
5.
15 + 37
Answers
1.
2.
3.
4.
5.
29
62
68
42
52
Adding Three Digit Numbers

Start with the ones and add to your left. If
the sum of two numbers is more than 9,
then carry over the tens to the tens
column.You may have to carry over to the
hundreds place as well.
11
Example:
135
643
+343
+257
478
900
Adding More Than Two Numbers

Line the problems up vertically
Example: 23 + 693 + 85
23
693
+ 85
801
Practice
1.
23 + 468 + 8
2.
98 + 29 + 435
3.
28 + 400 + 81
4.
300 + 20 + 6
Answers
1.
2.
3.
4.
499
562
509
326
Subtracting Whole Numbers
Subtraction – the arithmetic operation of
taking one number away from another to
find the difference
 Difference – the answer to a subtraction
problem

Single Digit Subtraction

Example
9
- 4
5
Practice
1.
8–3
2.
6–1
3.
9–6
4.
3-2
Answers
1.
2.
3.
4.
7
5
3
1
Subtraction with Renaming

When you cannot subtract, you must
rename (borrow) from the column to the
left.
3 15
Example:
45
- 7
38
**borrow 10 from the tens column and add
it to the ones column.
Practice
1.
23 – 5
2.
34 – 6
3.
37 – 28
4.
80 - 52
Answers
1.
2.
3.
4.
18
28
9
28
Multiple Digit Subtraction

You many need to rename (borrow) from
several columns. See below.
3 15 11 17
4, 6 2 7
968
3, 6 5 9
Practice
1.
2,803 – 532
2.
5,036 – 987
3.
1,200 – 268
4.
223,618 – 9,233
Answers
1.
2.
3.
4.
2,271
4,049
932
214,385
Multiplying Whole Numbers
Multiplication – the arithmetic operation
of adding a number to itself many times
 Factors – numbers that are multiplied in a
multiplication problem
 Product – the answer to a multiplication
problem


Example:
7
x 5
12
factor
factor
product
Practice
1.
4x5
2.
5x6
3.
2x9
4.
3x7
Answers
1.
2.
3.
4.
20
30
18
21
Two Digit x One Digit

Example
2
23
x 3
69
56
x 4
224 *
*you may need to carry
6 x 4 = 24; carry the 2 and put above
the tens place; 4 x 5 + 2 = 22
Practice
1.
34 x 6
2.
45 x 7
3.
58 x 3
4.
75 x 8
Answers
1.
2.
3.
4.
204
315
174
600
Multiplying Multiple Digit Numbers

Example
1
26
x 30
00
780 *
780
1
1
251
x123
753
5020
25100
30893
*for each new line add a 0
Practice
1.
45 x 40
2.
86 x 10
3.
675 x 212
4.
677 x 100
Answers
1.
2.
3.
4.
1,800
860
143,100
67,700
Dividing Whole Numbers
Dividend – a number that is dividend
 Division – the arithmetic operation that
finds how many times a number is
contained in another number
 Divisor – number by which you are
dividing
 Quotient – answer to a division problem
48 ÷ 6 = 8
8 x 6 = 48

Practice – Division by one digit
1.
36 ÷ 4
2.
35 ÷ 7
3.
72 ÷ 9
4.
27 ÷ 3
Answers
1.
2.
3.
4.
9
5
8
7
Division by one digit into multiple
digits

Example
Step 1
3
12 432
Step 2
3
12 432
-36
7
Step 3
3
12 432
-36
72
Step 4
36
12 432
-36
72
-72
0
Practice
1.
568 ÷ 8
2.
108 ÷ 9
3.
248 ÷ 2
4.
504 ÷ 8
Answers
1.
2.
3.
4.
71
12
124
63
Division with Remainders

Example
46 r 2
7 324
- 28
44
- 42
2
Practice
1.
409 ÷ 8
2.
173 ÷ 4
3.
253 ÷ 9
4.
197 ÷ 5
Answers
1.
2.
3.
4.
51 r 1
43 r 1
28 r 1
35 r 2
Reminder…

The answer to a division problem may
not always be a whole number.You will
either have a remainder or you will have
to write the remainder as a fraction.
Example: Improper Fraction
3
1 ½ divisor
2= 2 3
-2
1remainder