Download Chapter 1 Variables, Expressions, and Integers

1.1 (Adding, Subtracting,
Multiplying and Dividing Whole Numbers)
DATE
Vocabulary
*** Sum: answer to an addition problem
*** Difference: answer to a subtraction problem
*** Product: answer to a multiplication problem
*** Quotient: answer to a division problem
Examples
** Ex. 1: Adding whole numbers
To find the sum, line up the numbers in the ones’ place.
Next add the ones, tens, and hundreds.
954
+ 78
1032
4+8 = 12. Regroup the 12 ones as 1 ten and 2 ones
1+5+7= 13. Regroup the 13 tens as 1 hundred and 3 tens
Try these on your own (copy down the problem and solve)
1. 95+ 97 =
2. 44 + 87 =
3. 406 + 95 =
4. 614 + 196 =
** Ex. 2: Subtracting whole numbers
To find the difference, line up the numbers on the ones’
place. Next subtract the ones, tens, and so on.
204
- 36
168
You need more ones to subtract 6, so regroup
204 = 100 + 90 + 14
Try these on your own
1. 95 – 37 =
2. 82 – 49 =
3. 406 – 95 =
4. 500 – 315 =
** Ex. 3: Multiplying whole numbers
1
25
x 12
50
+ 250
300
First multiply 25 by the ones’ digit, 2
Then multiply 25 by the tens’ digit, 1
Add
Try these on your own
1. 29 x 31 =
2. 140 x 15 =
** Ex. 4: Dividing whole numbers
To find the quotient, use long division.
The dividend is 592 and the divisor is 7.
84 r4
7 592
- 56
32
- 28
4
Estimate how many times 59 can be divided by 7.
Multply: 8 x 7 = 56
Subtract: 59–56 =3. Bring down the 2.
Repeat the process
The remainder is 4
Try these on your own
1. 721  6 =
2. 418  21 =
** Ex. 4: Finding patterns
The Summer Olympics were held in 1992, 1996, 2000,
and 2004. Describe the pattern. Then find the next two
years in the pattern.
1992
1996
+4
2000
+4
2004
+4
______
+4
______
+4
Try these on your own. Describe the pattern and find the
next two numbers.
1. 1, 4, 7, 10, __, __
2. 3, 6, 12, 24, __, __
3. 55, 50, 45, 40, __, __
Review/Ticket out the door
1. 842 + 68 =
2. 325 – 69 =
3. $32 x 15 =
4. 794  3 =