Download Name:

Name: _________________________
As we work on new math skills this year, we will continue to practice skills that we have
already learned. These skills are important because we use them all of the time. You will
add to this packet notes and practice problems throughout the year. As you complete the
packet, you will note your progress on this chart.
Date
Topic
Multiplication
Division
Adding
Decimals
Subtracting
Decimals
Multiplying
Decimals
Dividing
Decimals
Order of
Operations
Adding
Fractions
Subtracting
Fractions
Multiplying
Fractions
Dividing
Fractions
Ordering
numbers
Percent Correct
Notes
Let`s review what you`ve learned about multiplication problems that have two-digit
numbers where you may regroup (carry) once. You know that when multiplying by a
two-digit number that does not end in zero, there are simple steps to remember. Cover the
tens digit, work the problem, and write the answer. Cover the ones digit, write a zero in
the ones place (ones column), work the problem, and write the answer. Then add both
answers to get the product, or answer, to the whole multiplication problem.
Take a look at this example:
Remember the steps: cover the tens digit, work the problem, and write the answer.
Then cover the ones digit. In the problem below, we`re multiplying by a tens number, so
we`ll write 0 in the ones place when we multiply. Then we work the problem.
Lastly, add both answers to get the product to the whole multiplication problem.
(http://www.mathmastery.com/math/multiplication/Multiplying-Numbers-by-More-Than-Two-Digits/TwoDigit-Numbers-Multiplied-by-Two-Digit-Numbers-Review)
Practice:
345
x 21
284
x 42
734
x 86
345
x 21
284
x 42
734
x 86
How to divide a four digit number by a two digit number (e.g. 4138 ÷ 17):
Place the divisor before the division bracket and place the dividend
(4138) under it.
•
•
•
17)4138
Examine the first digit of the dividend(4). It is smaller than 17 so
can't be divided by 17 to produce a whole number. Next take the first
two digits of the dividend (41) and determine how many 17's it
contains. In this case 41 holds two seventeens (2*17=34) but not
three (3*17=51). Place the 2 above the division bracket.
•
•
•
2
17)4138
Multiply the 2 by 17 and place the result (34) below the 41 of the
dividend.
•
•
•
•
2
17)4138
34
Draw a line under the 34 and subtract it from 41 (41-34=7). Bring
down the 3 from the 4138 and place it to the right of the 7.
•
•
•
•
•
2
17)4138
34
73
Divide 73 by 17 and place that answer above the division bracket and
to the right of the two.
•
•
•
•
•
24
17)4138
34
73
Multiply the 4 of the quotient by the divisor (17) to get 68 and place
this below the 73 under the dividend. Subtract 68 from 73 to give an
answer of 5. Bring down the 8 from the dividend 4138 and place it
next to the 5
•
•
•
•
•
•
•
24
17)4138
34
73
68
58
Divide 58 by 17 and place that answer (3) above the division bracket
and to the right of the four.
•
•
•
•
•
•
•
243
17)4138
34
73
68
58
Multiply the 3 of the quotient by the divisor (17) to get 51 and place
this below the 58 under the dividend. Subtract 51 from 58 to give an
answer of 7.
•
•
•
•
•
•
•
•
•
243
17)4138
34
73
68
58
51
7
There are no more digits in the dividend to bring down so the 7 is a
remainder. The final answer could be written in several ways.
243 remainder 7 or sometimes 243r7
or as a mixed number 243 7/17
(http://www.aaamath.com/div55_x2.htm)
Practice:
•
•
•
18)3618
24)4138
Adding decimals is easy if you keep your work neat
To add decimals, follow these steps:
•
•
•
Write down the numbers, one under the other, with the decimal points lined up
Put in zeros so the numbers have the same length
Then add normally, remembering to put the decimal point in the answer
Example: Add 1.452 to 1.3
Line the decimals up:
1.452
+ 1.3
"Pad" with zeros:
1.452
+ 1.300
Add:
1.452
+ 1.300
2.752
Example: Add 3.25, 0.075 and 5
Line the decimals up:
3.25
0.075
+ 5.
"Pad" with zeros:
3.250
0.075
+ 5.000
Add:
3.250
0.075
+ 5.000
8.325
(http://www.mathsisfun.com/adding-decimals.html)
Practice:
Problem
1.23 + 4.3
8.9 + 4.23
5.67 + 3.45
Set it up, Line it up, Solve
Answer
Subtracting decimals is easy if you keep your work neat
To subtract decimals, follow these steps:
•
•
•
Write down the two numbers, one under the other, with the decimal points
lined up.
Add zeros so the numbers have the same length
Then subtract normally, remembering to put the decimal point in the answer
Example: Subtract 0.03 from 1.1
Line the decimals up:
1.1
- 0.03
"Pad" with zeros:
1.10
- 0.03
Subtract:
1.10
- 0.03
1.07
So, that was just like 110 - 3 = 107, but with the decimal point in a different position
Example: Calculate 7.005-0.55
Line the decimals up:
7.005
- 0.55
"Pad" with zeros:
7.005
- 0.550
Subtract:
7.005
- 0.550
6.455
(http://www.mathsisfun.com/subtracting-decimals.html)
Practice:
Problem
3.98 – 2.45
4.92 – 3.4
8.72 – 6.65
Set it up, Line it up, Solve
Answer