Solved on Dec 08, 2023

Evaluate $8.591-0.6 \times 1.4^{2}$ .

STEP 1

Assumptions
1. We are given the expression $8.591 - 0.6 \times 1.4^{2}$ .
2. We need to follow the order of operations, also known as BIDMAS/BODMAS (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).

STEP 2

First, we need to deal with the exponentiation part of the expression, which is $1.4^{2}$ .
$1.4^{2} = 1.4 \times 1.4$

STEP 3

Now, calculate the value of $1.4^{2}$ .
$1.4^{2} = 1.4 \times 1.4 = 1.96$

STEP 4

Next, we need to multiply the result of the exponentiation by $0.6$ .
$0.6 \times 1.4^{2} = 0.6 \times 1.96$

STEP 5

Calculate the product of $0.6$ and $1.96$ .
$0.6 \times 1.96 = 1.176$

STEP 6

Now, subtract the result from $8.591$ .
$8.591 - 0.6 \times 1.4^{2} = 8.591 - 1.176$

STEP 7

Finally, perform the subtraction to evaluate the expression.
$8.591 - 1.176 = 7.415$
The value of the expression is $7.415$ .

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Evaluate $8.591-0.6 \times 1.4^{2}$ .

STEP 1

Assumptions
1. We are given the expression $8.591 - 0.6 \times 1.4^{2}$ .
2. We need to follow the order of operations, also known as BIDMAS/BODMAS (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).

STEP 2

First, we need to deal with the exponentiation part of the expression, which is $1.4^{2}$ .
$1.4^{2} = 1.4 \times 1.4$

STEP 3

Now, calculate the value of $1.4^{2}$ .
$1.4^{2} = 1.4 \times 1.4 = 1.96$

STEP 4

Next, we need to multiply the result of the exponentiation by $0.6$ .
$0.6 \times 1.4^{2} = 0.6 \times 1.96$

STEP 5

Calculate the product of $0.6$ and $1.96$ .
$0.6 \times 1.96 = 1.176$

STEP 6

Now, subtract the result from $8.591$ .
$8.591 - 0.6 \times 1.4^{2} = 8.591 - 1.176$

STEP 7

Finally, perform the subtraction to evaluate the expression.
$8.591 - 1.176 = 7.415$
The value of the expression is $7.415$ .

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Evaluate 8.591−0.6×1.428.591-0.6 \times 1.4^{2}8.591−0.6×1.42.

STEP 1

Assumptions1. We are given the expression 8.591−0.6×1.428.591 - 0.6 \times 1.4^{2}8.591−0.6×1.42.2. We need to follow the order of operations, also known as BIDMAS/BODMAS (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).

STEP 2

First, we need to deal with the exponentiation part of the expression, which is 1.421.4^{2}1.42.1.42=1.4×1.41.4^{2} = 1.4 \times 1.41.42=1.4×1.4

STEP 3

Now, calculate the value of 1.421.4^{2}1.42.1.42=1.4×1.4=1.961.4^{2} = 1.4 \times 1.4 = 1.961.42=1.4×1.4=1.96

STEP 4

Next, we need to multiply the result of the exponentiation by 0.60.60.6.0.6×1.42=0.6×1.960.6 \times 1.4^{2} = 0.6 \times 1.960.6×1.42=0.6×1.96

STEP 5

Calculate the product of 0.60.60.6 and 1.961.961.96.0.6×1.96=1.1760.6 \times 1.96 = 1.1760.6×1.96=1.176

STEP 6

Now, subtract the result from 8.5918.5918.591.8.591−0.6×1.42=8.591−1.1768.591 - 0.6 \times 1.4^{2} = 8.591 - 1.1768.591−0.6×1.42=8.591−1.176

STEP 7

Finally, perform the subtraction to evaluate the expression.8.591−1.176=7.4158.591 - 1.176 = 7.4158.591−1.176=7.415The value of the expression is 7.4157.4157.415.

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

Evaluate $8.591-0.6 \times 1.4^{2}$ .

Assumptions
1. We are given the expression $8.591 - 0.6 \times 1.4^{2}$ .
2. We need to follow the order of operations, also known as BIDMAS/BODMAS (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).

First, we need to deal with the exponentiation part of the expression, which is $1.4^{2}$ .
$1.4^{2} = 1.4 \times 1.4$

Now, calculate the value of $1.4^{2}$ .
$1.4^{2} = 1.4 \times 1.4 = 1.96$

Next, we need to multiply the result of the exponentiation by $0.6$ .
$0.6 \times 1.4^{2} = 0.6 \times 1.96$

Calculate the product of $0.6$ and $1.96$ .
$0.6 \times 1.96 = 1.176$

Now, subtract the result from $8.591$ .
$8.591 - 0.6 \times 1.4^{2} = 8.591 - 1.176$

Finally, perform the subtraction to evaluate the expression.
$8.591 - 1.176 = 7.415$
The value of the expression is $7.415$ .