example
Simplify the expressions:
1.
7(18.3−21.7)
2.
32(8.3−3.8)
Solution
1. |
|
|
7(18.3−21.7) |
Simplify inside parentheses. |
7(−3.4) |
Multiply. |
−23.8 |
2. |
|
|
32(8.3−3.8) |
Simplify inside parentheses. |
32(4.5) |
Write 4.5 as a fraction. |
32(14.5) |
Multiply. |
39 |
Simplify. |
3 |
example
Simplify each expression:
1.
6÷0.6+(0.2)4−(0.1)2
2.
(101)2+(3.5)(0.9)
Answer:
Solution
1. |
|
|
6÷0.6+(0.2)4−(0.1)2 |
Simplify exponents. |
6÷0.6+(0.2)4−0.01 |
Divide. |
10+(0.2)4−0.01 |
Multiply. |
10+0.8−0.01 |
Add. |
10.8−0.01 |
Subtract. |
10.79 |
2. |
|
|
(101)2+(3.5)(0.9) |
Simplify exponents. |
1001+(3.5)(0.9) |
Multiply. |
1001+3.15 |
Convert 1001 to a decimal. |
0.01+3.15 |
Add. |
3.16 |