Summer Math Packet Pre Algebra & Math 7 Students who have completed 6 th Grade Math and will be taking Pre-Algebra or Math 7. Topics 1) Whole Numbers: Multiplying & Dividing 2) Order of Operations 3) Decimals: Adding & Subtracting 4) Decimals: Multiplying & Dividing 5) Integers: Adding & Subtracting 6) Integers: Multiplying & Dividing 7) Fractions: Adding & Subtracting 8) Fractions: Multiplying & Dividing NO CALCULATOR! SHOW ALL WORK!
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Summer Math Packet
Pre Algebra & Math 7
Students who have completed 6th Grade Math and will be taking Pre-Algebra or Math 7.
Topics
1) Whole Numbers: Multiplying & Dividing
2) Order of Operations
3) Decimals: Adding & Subtracting
4) Decimals: Multiplying & Dividing
5) Integers: Adding & Subtracting
6) Integers: Multiplying & Dividing
7) Fractions: Adding & Subtracting
8) Fractions: Multiplying & Dividing
NO CALCULATOR! SHOW ALL WORK!
1) Whole Numbers – Multiplying and Dividing A) 653 x 29 B) 1820 ÷ 28
1
4 2
653
x 29
5877
13060
18937
0
6528 1820
168
140
140
28
x 6
168
28
x 5
140
NO CALCULATOR! SHOW ALL WORK! 1. 975 x 8 2. 23 x 15 3. 471 x 16
3) Place the decimal point in the answer by starting at the right and moving a number of places equal to the sum of the decimal places in both numbers multiplied.
1) If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in the dividend the same number of places.
2) Divide.
3) Bring the decimal point up.
27.216 ÷ 4.8
5.67 48.)272.16
-240 321
-288 336 ─ 336
0 NO CALCULATOR! SHOW ALL WORK!
1. 5.4 x 0.07
2. 5.9 x 1.2
3. 69.3 x 0.15 4. 3.96 x 3.3
5. 9.01 x 0.48 6. 0.24 ÷ 0.8
7. 84.48 ÷ 0.88 8. 6.56 ÷ 4
9. 34.06 ÷ 0.13 10. 147 ÷ 0 .49
5) Integers: Adding and Subtracting
Addition - SAME SIGNS -4 + (-5)
1) Add their absolute values. 4 + 5 = 9
2) Attach the common signs. -4 + (-5) = -9
Addition - OPPOSITE SIGNS 3 + (-9)
1) Subtract the smaller absolute value from the larger.
(9 – 3) = 6
2) Attach the sign of the number with the larger absolute value.
3 + (-9) = -6
Subtraction
1) Adding the opposite of a number is equivalent to subtracting the number.
2) Change all problems to addition and follow the addition rules.