QuestionSimplify the expression using order of operations: $4.8 \div 1.2 - 2.4^{2}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $4.8 \div1.-.4^{}$ . . We need to simplify this expression using the order of operations with decimal numbers.
3. The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to perform the division operation in the expression. According to the order of operations, division comes before subtraction.
$4.8 \div1.2 -2.4^{2}$

STEP 3

Perform the division operation.
$.8 \div1.2 =$ So, the expression becomes $-2.^{2}$

STEP 4

Next, we need to perform the exponentiation operation in the expression. According to the order of operations, exponentiation comes before subtraction.
$4 -2.4^{2}$

STEP 5

Perform the exponentiation operation.
$2.4^{2} =5.76$ So, the expression becomes $4 -5.76$

STEP 6

Finally, we need to perform the subtraction operation in the expression. According to the order of operations, subtraction is the last operation to be performed.
$4 -5.76$

STEP 7

Perform the subtraction operation.
$4 -5.76 = -1.76$ The simplified expression is $-1.76$ .

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QuestionSimplify the expression using order of operations: $4.8 \div 1.2 - 2.4^{2}$ .

Studdy Solution

STEP 1

STEP 2

First, we need to perform the division operation in the expression. According to the order of operations, division comes before subtraction.
$4.8 \div1.2 -2.4^{2}$

STEP 3

Perform the division operation.
$.8 \div1.2 =$ So, the expression becomes $-2.^{2}$

STEP 4

Next, we need to perform the exponentiation operation in the expression. According to the order of operations, exponentiation comes before subtraction.
$4 -2.4^{2}$

STEP 5

Perform the exponentiation operation.
$2.4^{2} =5.76$ So, the expression becomes $4 -5.76$

STEP 6

Finally, we need to perform the subtraction operation in the expression. According to the order of operations, subtraction is the last operation to be performed.
$4 -5.76$

STEP 7

Perform the subtraction operation.
$4 -5.76 = -1.76$ The simplified expression is $-1.76$ .

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QuestionSimplify the expression using order of operations: 4.8÷1.2−2.424.8 \div 1.2 - 2.4^{2}4.8÷1.2−2.42.

Studdy Solution

STEP 1

STEP 2

First, we need to perform the division operation in the expression. According to the order of operations, division comes before subtraction.4.8÷1.2−2.424.8 \div1.2 -2.4^{2}4.8÷1.2−2.42

STEP 3

Perform the division operation..8÷1.2=.8 \div1.2 =.8÷1.2=So, the expression becomes−2.2 -2.^{2}−2.2

STEP 4

Next, we need to perform the exponentiation operation in the expression. According to the order of operations, exponentiation comes before subtraction.4−2.424 -2.4^{2}4−2.42

STEP 5

Perform the exponentiation operation.2.42=5.762.4^{2} =5.762.42=5.76So, the expression becomes4−5.764 -5.764−5.76

STEP 6

Finally, we need to perform the subtraction operation in the expression. According to the order of operations, subtraction is the last operation to be performed.4−5.764 -5.764−5.76

STEP 7

Perform the subtraction operation.4−5.76=−1.764 -5.76 = -1.764−5.76=−1.76The simplified expression is −1.76-1.76−1.76.

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QuestionSimplify the expression using order of operations: $4.8 \div 1.2 - 2.4^{2}$ .

First, we need to perform the division operation in the expression. According to the order of operations, division comes before subtraction.
$4.8 \div1.2 -2.4^{2}$

Perform the division operation.
$.8 \div1.2 =$ So, the expression becomes $-2.^{2}$

Next, we need to perform the exponentiation operation in the expression. According to the order of operations, exponentiation comes before subtraction.
$4 -2.4^{2}$

Perform the exponentiation operation.
$2.4^{2} =5.76$ So, the expression becomes $4 -5.76$

Finally, we need to perform the subtraction operation in the expression. According to the order of operations, subtraction is the last operation to be performed.
$4 -5.76$

Perform the subtraction operation.
$4 -5.76 = -1.76$ The simplified expression is $-1.76$ .