Math / Numbers & Operations

Question饺 Evaluate the expression. $(0.9 \div 4.5)^{2}+1.8 \times 0.02$

Studdy Solution

STEP 1

1. The expression to evaluate is $(0.9 \div 4.5)^{2} + 1.8 \times 0.02$ .
2. The operations involved are division, exponentiation, and multiplication.
3. Follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

STEP 2

1. Evaluate the division inside the parentheses.
2. Apply the exponentiation.
3. Evaluate the multiplication.
4. Add the results from steps 2 and 3.

STEP 3

Evaluate the division inside the parentheses:
$0.9 \div 4.5 = 0.2$

STEP 4

Apply the exponentiation to the result from Step 1:
$(0.2)^{2} = 0.04$

STEP 5

Evaluate the multiplication:
$1.8 \times 0.02 = 0.036$

STEP 6

Add the results from Step 2 and Step 3:
$0.04 + 0.036 = 0.076$
The evaluated expression is:
$\boxed{0.076}$

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Question饺 Evaluate the expression. $(0.9 \div 4.5)^{2}+1.8 \times 0.02$

Studdy Solution

STEP 1

STEP 2

1. Evaluate the division inside the parentheses.
2. Apply the exponentiation.
3. Evaluate the multiplication.
4. Add the results from steps 2 and 3.

STEP 3

Evaluate the division inside the parentheses:
$0.9 \div 4.5 = 0.2$

STEP 4

Apply the exponentiation to the result from Step 1:
$(0.2)^{2} = 0.04$

STEP 5

Evaluate the multiplication:
$1.8 \times 0.02 = 0.036$

STEP 6

Add the results from Step 2 and Step 3:
$0.04 + 0.036 = 0.076$
The evaluated expression is:
$\boxed{0.076}$

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Question饺 Evaluate the expression. (0.9÷4.5)2+1.8×0.02(0.9 \div 4.5)^{2}+1.8 \times 0.02(0.9÷4.5)2+1.8×0.02

Studdy Solution

STEP 1

STEP 2

1. Evaluate the division inside the parentheses.2. Apply the exponentiation.3. Evaluate the multiplication.4. Add the results from steps 2 and 3.

STEP 3

Evaluate the division inside the parentheses:0.9÷4.5=0.2 0.9 \div 4.5 = 0.2 0.9÷4.5=0.2

STEP 4

Apply the exponentiation to the result from Step 1:(0.2)2=0.04 (0.2)^{2} = 0.04 (0.2)2=0.04

STEP 5

Evaluate the multiplication:1.8×0.02=0.036 1.8 \times 0.02 = 0.036 1.8×0.02=0.036

STEP 6

Add the results from Step 2 and Step 3:0.04+0.036=0.076 0.04 + 0.036 = 0.076 0.04+0.036=0.076 The evaluated expression is:0.076\boxed{0.076}0.076​

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Question饺 Evaluate the expression. $(0.9 \div 4.5)^{2}+1.8 \times 0.02$

1. Evaluate the division inside the parentheses.
2. Apply the exponentiation.
3. Evaluate the multiplication.
4. Add the results from steps 2 and 3.

Evaluate the division inside the parentheses:
$0.9 \div 4.5 = 0.2$

Apply the exponentiation to the result from Step 1:
$(0.2)^{2} = 0.04$

Evaluate the multiplication:
$1.8 \times 0.02 = 0.036$

Add the results from Step 2 and Step 3:
$0.04 + 0.036 = 0.076$
The evaluated expression is:
$\boxed{0.076}$