Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 2
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46What You
Learned Before
Complete the number sentence with <, >, or =.
−0.3
−0.003
Example 1
1.1
1.01
Example 2
110
101
300
3
Because −
is less than −
—
—
—
—
Because
is greater than
,
,
100
100
1000
1000
−0.3 is less than −0.003.
1.1 is greater than 1.01.
So, −0.3 < −0.003.
So, 1.1 > 1.01.
Find three decimals that make the number sentence −5.12 >
Example 3
true.
Any decimal less than −5.12 will make the sentence true.
Sample answer: −10.1, −9.05, −8.25
Complete the number sentence with <, >, or =.
2. −4.5
−4.25
3. π
1. 2.10
2.1
3.2
Find three decimals that make the number sentence true.
4. −0.01 ≤
6. 0.75 ≥
5. 1.75 >
2
÷ (32 ÷ 2) − 2(3 − 5).
Example 4
Evaluate 8
2
÷ (32 ÷ 2) − 2(3 − 5) = 8
2
÷ 16 − 2(−2)
First:
Parentheses
8
= 64 ÷ 16 − 2(−2)
Second:
Exponents
= 4 + 4
Third:
Multiplication and Division (from left to right)
= 8
Fourth:
Addition and Subtraction (from left to right)
Evaluate the expression.
⋅
⋅
⋅
(
)
(
)
2
12
4
− 7
2
− 2
2
4 ÷ 18 + 30
6 − 1
9. −1 +
(6 − 1)
—
—
7. 15
7
8. 3
3
2
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