Download Unit 1 * The Number System: Packet 2 of 3

7th Grade
Unit 1 – The
Number System:
Packet 2 of 3
Mr. Rothdiener
Name: _____________________________________
Packet Outline, Page 1
 1.9: Multiply Integers (7.NS.A.2a), Pages 2-4
o I can apply the rules for multiplication of signed numbers to
multiply integers.
 1.10: Divide Integers (7.NS.A.2b), Pages 5-7
o I can apply the rules for division of signed numbers to
divide integers.
 1.11: Multiply and Divide Rational Numbers (7.NS.A.2a-b), Pages 8-10
o I can recognize that the rules for multiplying and dividing
integers apply to rational numbers.
 1.12: Multiply and Divide Rational Numbers (7.NS.A.2a-b), Pages 11-13
o I can recognize that the rules for multiplying and dividing
integers apply to rational numbers.
 1.13: Apply Properties to Multiply and Divide Rational Numbers
(7.NS.A.2c), Pages 14-16
o I can use the properties of operations to multiply and divide
numbers without the use of a calculator.
 1.14: Convert Decimals to Fractions (7.NS.A.2d), Pages 17-19
o I can convert decimals to fractions.
 1.15: Convert Rational Numbers to Decimals (7.NS.A.2d), Pages 20-22
o I can convert rational numbers to decimals using long division.
 Quiz 1.2 Review, Pages 23-24
o I can apply and extend previous understandings of
multiplication and division and of fractions to multiply and
divide rational numbers.
1
1.9: Multiply Integers (7.NS.A.2a)
Bell Work:
Multiply:
14(7)
Whole-Class:
Multiply the following integers using sign rules.
1.) 5(3)
2.) -5(-3)
3.) 5(-3)
4.) -5(3)
5.) 16(12)
6.) -23(-17)
7.) 39(-19)
8.) -18(21)
Guided Practice:
Multiply the following integers using sign rules.
9.) 5(9)
10.) -4(-2)
11.) 1(-11)
12.) -10(15)
13.) 12(37)
14.) -46(-23)
15.) 33(-33)
16.) -13(38)
2
Independent Practice:
Multiply the following integers using sign rules.
17.) 15(7)
18.) -4(-16)
19.) -8(-4)
20.) -5(-12)
21.) -10(7)
22.) 8(-7)
23.) -23(4)
24.) -12(6)
25.) 11(-11)
26.) -41(-7)
27.) 5(-43)
28.) -67(6)
29.) 42(-32)
30.) -19(18)
31.) -15(-53)
3
HOMEWORK 1.9
Multiply the following integers using sign rules.
1.) 4(7)
2.) -6(-2)
3.) -5(8)
4.) -2(5)
5.) -4(7)
6.) 6(-9)
7.) -5(-5)
8.) -5(5)
9.) 7(-7)
10.) 67(-3)
11.) -31(-5)
12.) -91(9)
13.) -11(-2)
14.) -77(7)
15.) -77(-7)
4
1.10: Divide Integers (7.NS.A.2b)
Bell Work:
Multiply:
16(-4)
Whole-Class:
Divide the following integers using sign rules.
1.) 16 ÷ (-4)
2.) 8 ÷ 2
3.) -21 ÷ (-3)
4.) -55 ÷ 11
Guided Practice:
Divide the following integers using sign rules.
5.) 72 ÷ 9
6.) -32 ÷ (-8)
7.) 56 ÷ (-7)
8.) -10 ÷ 5
9.) 100 ÷ 25
10.) -10 ÷ (-10)
11.) 34 ÷ (-1)
12.) -36 ÷ 4
5
Independent Practice:
Divide the following integers using sign rules.
13.) 15 ÷ 5
14.) -44 ÷ (-11)
15.) -18 ÷ (-6)
16.) -25 ÷ (-5)
17.) -100 ÷ 5
18.) 28 ÷ (-7)
19.) -234 ÷ (-1)
20.) -12 ÷ 6
21.) 150 ÷ (-75)
22.) -45 ÷ (-9)
23.) -95 ÷ (-5)
24.) -66 ÷ 6
25.) 75 ÷ (-5)
26.) -143 ÷ 11
27.) -1470 ÷ (-14)
28.) 490 ÷ 49
29.) 836 ÷ (-4)
30.) -2,345 ÷ (-5)
6
HOMEWORK 1.10
Divide the following integers using sign rules.
1.) 35 ÷ 7
2.) -6 ÷ (-2)
3.) -25 ÷ 5
4.) -22 ÷ 11
5.) -54 ÷ 9
6.) 36 ÷ (-9)
7.) -75 ÷ (-5)
8.) -5 ÷ 5
9.) 7 ÷ (-1)
10.) 65 ÷ (-13) =
11.) -31 ÷ (-1)
12.) -90 ÷ 10
7
1.11: Multiply and Divide Rational Numbers (7.NS.A.2a-b)
Bell Work:
Divide:
-35 ÷ (-5)
Whole-Class:
Multiply or divide the following rational numbers using sign rules.
1.) -35.5 ÷ (-5)
2.) 64.3(-9)
3.) -487.35 ÷ 5
Guided Practice:
Multiply or divide the following rational numbers using sign rules.
4.) -22.8 ÷ 3
5.) -321.8(-8)
8
6.) -54.2(11)
Independent Practice:
Multiply or divide the following integers using sign rules.
7.) 15.832 ÷ (-4)
8.) -44.4(-7)
9.) -93.6 ÷ 6
10.) 25.31(-8)
11.) -1,943.74 ÷ (-2)
12.) 28.99(5)
9
HOMEWORK 1.11
Multiply or divide the following rational numbers using sign rules.
1.) 37.5 ÷ 5
2.) -6.9(-4)
3.) -35.7 ÷ 3
4.) -222.2(11)
5.) -646.8 ÷ 6
6.) 36.99(9)
10
1.12: Multiply and Divide Rational Numbers (7.NS.A.2a-b)
Bell Work:
Divide:
-87.3 ÷ (-3)
Whole-Class:
Multiply or divide the following rational numbers using sign rules.
1.) 79.8(-7)
2.) -588.45 ÷ 5
Guided Practice:
Multiply or divide the following rational numbers using sign rules.
3.) -65.7 ÷ 9
4.) -67.3(45)
11
Independent Practice:
Multiply or divide the following integers using sign rules.
5.) 26.943 ÷ (-3)
6.) -77.7(-6)
7.) -104.7 ÷ 6
8.) 36.42(-2)
9.) -2,054.85 ÷ (-5)
10.) 39.99(13)
12
HOMEWORK 1.12
Multiply or divide the following rational numbers using sign rules.
1.) 47.5 ÷ 5
2.) -7.4(-7)
3.) -57.9 ÷ 3
4.) -324.6(14)
5.) -868.8 ÷ 6
6.) 49.99(7)
13
1.13: Apply Properties to Multiply and Divide Rational Numbers
(7.NS.A.2c)
Bell Work:
Multiply:
1
4
8( )
Whole-Class:
1.) Evaluate the expression: -6 • 2 • (-2) • (-5) • (-3)
2.) Evaluate the expression from exercise 1 using the commutative and
associative properties. Did it make it easier?
14
Guided Practice:
3.) Rewrite the mixed number as a sum; then, multiply using the
distributive property:
1
3
-6 • (5 )
Independent Practice:
4.) Rewrite the mixed number as a sum; then, multiply using the
distributive property:
-8 • (3
1
)
2
5.) Evaluate the expression using the commutative and associative
properties:
4•
1
1
• (-8) • 9 • (- )
2
3
15
HOMEWORK 1.13
1.) Rewrite the mixed number as a sum; then, multiply using the
distributive property:
1
5
-10 • (7 )
2.) Evaluate the expression using the commutative and associative
properties:
6•
1
1
• (-4) • 15 • (- )
5
3
16
1.14: Convert Decimals to Fractions (7.NS.A.2d)
Bell Work:
In the following number, what digit is in the hundredths place?
342.671
Whole-Class:
Use place value to convert each terminating decimal to a fraction. Be
sure to rewrite each fraction in simplest form.
1.) 0.5
2.) 2.38
3.) 0.005
Guided Practice:
Use place value to convert each terminating decimal to a fraction. Be
sure to rewrite each fraction in simplest form.
4.) 0.16
5.) 3.6
6.) 0.218
17
Independent Practice:
Use place value to convert each terminating decimal to a fraction. Be
sure to rewrite each fraction in simplest form.
7.) 0.55
8.) 0.3
9.) 7.125
10.) 21.8
11.) 0.333
12.) 0.24
13.) 9.75
14.) 0.2
15.) 0.014
18
HOMEWORK 1.14
Use place value to convert each terminating decimal to a fraction. Be
sure to rewrite each fraction in simplest form.
1.) 0.4
2.) 0.28
3.) 0.625
4.) 3.08
5.) 0.012
6.) 4.4
19
1.15: Convert Rational Numbers to Decimals (7.NS.A.2d)
Bell Work:
Use place value to convert the terminating decimal to a fraction. Be
sure to rewrite the fraction in simplest form.
0.44
Whole-Class:
Use long division to write each fraction as a decimal.
1.)
1
2
2.)
1
3
3.) -
3
16
Guided Practice:
Use long division to write each fraction as a decimal.
3
4.) 4
1
5.)
8
1
6.)
11
20
Independent Practice:
Use long division to write each fraction as a decimal.
7.)
1
4
8.) -
1
9
9.)
21
5
16
HOMEWORK 1.15
Use long division to write each fraction as a decimal.
1.)
1
5
5
4.) 8
2.) -
2
9
3.)
6
5.)
11
1
16
4
6.)
5
22
Quiz 1.2 Review
(7.NS.A.2)
Use your knowledge of math to complete each of the following
questions. Show your work!
1-2: Multiply or divide the following rational numbers using sign rules.
1.) -27.2 ÷ (-4)
2.) 8.3(-5)
3.) Rewrite the mixed number as a sum; then, multiply using the
distributive property:
1
3
-12 • (5 )
23
4.) Evaluate the expression using the commutative and associative
properties:
(-9) •
1
1
• 15 • (-16) • ( )
4
5
5-7: Use place value to convert each terminating decimal to a fraction. Be
sure to rewrite each fraction in simplest form.
5.) 9.6
6.) 0.36
7.) 0.075
8-9: Use long division to write each fraction as a decimal.
8.)
1
4
9.) -
24
7
8