Math / Numbers & Operations

QuestionEvaluate the expression. $(0.3 \div 0.15)^{2}+4.2$

Studdy Solution

STEP 1

1. The expression to evaluate is $(0.3 \div 0.15)^{2} + 4.2$ .
2. We need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

STEP 2

1. Evaluate the division inside the parentheses.
2. Apply the exponent.
3. Perform the addition.

STEP 3

Evaluate the division inside the parentheses:
$0.3 \div 0.15$
Calculate:
$\frac{0.3}{0.15} = 2$

STEP 4

Apply the exponent to the result from Step 1:
$(2)^{2}$
Calculate:
$2^{2} = 4$

STEP 5

Perform the addition with the result from Step 2:
$4 + 4.2$
Calculate:
$4 + 4.2 = 8.2$
The evaluated expression is:
$\boxed{8.2}$

Was this helpful?

QuestionEvaluate the expression. $(0.3 \div 0.15)^{2}+4.2$

Studdy Solution

STEP 1

1. The expression to evaluate is $(0.3 \div 0.15)^{2} + 4.2$ .
2. We need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

STEP 2

1. Evaluate the division inside the parentheses.
2. Apply the exponent.
3. Perform the addition.

STEP 3

Evaluate the division inside the parentheses:
$0.3 \div 0.15$
Calculate:
$\frac{0.3}{0.15} = 2$

STEP 4

Apply the exponent to the result from Step 1:
$(2)^{2}$
Calculate:
$2^{2} = 4$

STEP 5

Perform the addition with the result from Step 2:
$4 + 4.2$
Calculate:
$4 + 4.2 = 8.2$
The evaluated expression is:
$\boxed{8.2}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionEvaluate the expression. (0.3÷0.15)2+4.2(0.3 \div 0.15)^{2}+4.2(0.3÷0.15)2+4.2

Studdy Solution

STEP 1

1. The expression to evaluate is (0.3÷0.15)2+4.2(0.3 \div 0.15)^{2} + 4.2(0.3÷0.15)2+4.2.2. We need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

STEP 2

1. Evaluate the division inside the parentheses.2. Apply the exponent.3. Perform the addition.

STEP 3

Evaluate the division inside the parentheses:0.3÷0.15 0.3 \div 0.15 0.3÷0.15Calculate:0.30.15=2 \frac{0.3}{0.15} = 2 0.150.3​=2

STEP 4

Apply the exponent to the result from Step 1:(2)2 (2)^{2} (2)2Calculate:22=4 2^{2} = 4 22=4

STEP 5

Perform the addition with the result from Step 2:4+4.2 4 + 4.2 4+4.2Calculate:4+4.2=8.2 4 + 4.2 = 8.2 4+4.2=8.2 The evaluated expression is:8.2\boxed{8.2}8.2​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionEvaluate the expression. $(0.3 \div 0.15)^{2}+4.2$

1. The expression to evaluate is $(0.3 \div 0.15)^{2} + 4.2$ .
2. We need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

1. Evaluate the division inside the parentheses.
2. Apply the exponent.
3. Perform the addition.

Evaluate the division inside the parentheses:
$0.3 \div 0.15$
Calculate:
$\frac{0.3}{0.15} = 2$

Apply the exponent to the result from Step 1:
$(2)^{2}$
Calculate:
$2^{2} = 4$

Perform the addition with the result from Step 2:
$4 + 4.2$
Calculate:
$4 + 4.2 = 8.2$
The evaluated expression is:
$\boxed{8.2}$