1. Rational Numbers
1.02 Simplifying numerical expressions involving integers
Worksheet
1
Evaluate:
a
9 + \left( - 7 \right) - 4
b
- 9 + 6 - \left( - 17 \right)
c
6 - \left(13 - 3\right)
d
- 5 + 4 + 3
e
6 - \left( - 3 \right) + 7
f
1 - \left(3 + \left( - 7 \right)\right)
g
1 - \left(4 - \left( - 5 \right)\right)
h
\left(4 - \left( - 2 \right)\right) - 6
2
Evaluate:
a
5 + 9 \times \left( - 6 \right)
b
\left( - 4 + 2\right) \times 6
c
- 3 - 6 \times \left( - 4 \right)
d
\left(7 - 8\right) \times \left( - 5 \right)
e
- 5 \times \left( - 7 \right) + 8
f
70 - 8 \times \left( - 7 \right)
g
- 4 \times \left( - 7 + 18\right)
h
\left(3 - 15\right) \times \left( - 14 + 9\right)
3
Evaluate:
a
- 18 + 21 \div 7
b
72 \div 6 \div 2
c
6 - 25 \div 5 + 4
d
54 \div 3 \div \left( - 2 \right)
e
\left( 120 \div 5\right) \times 3
f
\left( - 36 \right) \div \left( - 4 \right) - 14
g
\left( - 390 \right) \div \left( - 19 + 6\right)
h
\left( - 100 \right) \div \left( - 4 \right) \div \left( - 5 \right)
4
Evaluate:
a
|-2|+|5|
b
|-2+5|
c
|8 - (-6)|
d
|8|-|-6|
e
|-3| + |-7|
f
|-3+(-7)|
g
\left|6 - 3\right| - \left|3 - 8\right|
h
- 4 \left|7 - 3\right| - 2 \left| - 3 \right|
5
Evaluate:
a
|-3|\times |4|
b
|-3 \times 4|
c
|10 \times (-2)|
d
|12| \div |-4|
e
|-8 \times (-4)|
f
|6-8|\times |-7+4|
g
\left|\dfrac{18-10}{3-7} \right|
h
\dfrac{|6-12|}{3-4}
6
Evaluate:
a
9^{2} + 6
b
9^{2} - 8^{2}
c
3^{2} + 7^{2}
d
15 - 3^{2}
e
5^{2} + 8^{2}
f
4^{2} - 2^{3}
g
7^{2} + 18
h
28 + 6^{2}
7
Fill in the blank:
2+⬚\times 5=-188
Evaluate:
a
- 8 + \left( 24 \div 4\right)^{2}
b
- 5 + 12 \div 2^{2}
c
\left(8 - 10 \div 2\right)^{2}
d
- 7 + 8 \times 6 \div 2
e
\left( - 14 \right) \div 2 - 10 \div \left( - 2 \right)
f
2 \times \left( - 25 - 20\right) \div \left( - 7 + 2\right)
g
20 + \left( - 14 \right) - \left( - 2 \right) - 18
h
9 \times \left( - 6 \right) + 28 \div \left( - 7 \right)
9
Explain why the following statement is incorrect, and find the correct answer:
6-\left(-60\right)\div\left(-3\right)=-2210
Kaylah and Orion are evaluating the expression 10 \div 2 \times 5. Here is their work:
Kaylah:\begin{aligned} 10 \div 2 \times 5 & = 10 \div 10 \\ & = 1 \end{aligned}
Orion:\begin{aligned} 10 \div 2 \times 5 & = 5 \times 5 \\ & = 25 \end{aligned}
Who has the correct solution? Explain your answer.
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