QuestionReport the significant digits in the calculation: $(4.3-3.7) \times 12.3=$

Studdy Solution

STEP 1

Assumptions1. We are following the rules of significant figures in calculations. . In subtraction or addition, the result should have the same number of decimal places as the number with the least decimal places in the calculation.
3. In multiplication or division, the result should have the same number of significant figures as the number with the least significant figures in the calculation.

STEP 2

First, we need to perform the subtraction operation in the parentheses. $4. -.7 =0.6$

STEP 3

Now, we note the number of decimal places in the result of the subtraction. The number0.6 has one decimal place.

STEP 4

Next, we perform the multiplication operation.
$(4.3 -3.7) \times12.3 =0.6 \times12.3 =7.38$

STEP 5

We note the number of significant figures in each of the numbers involved in the multiplication. The number0. has two significant figures and the number12.3 has three significant figures.

STEP 6

Since the result of the multiplication should have the same number of significant figures as the number with the least significant figures in the calculation, our final answer should have two significant figures.

STEP 7

Therefore, we round the result of the multiplication to two significant figures.
$7.38 \approx7.4$ The answer should be reported with two significant figures7.4.

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QuestionReport the significant digits in the calculation: $(4.3-3.7) \times 12.3=$

Studdy Solution

STEP 1

STEP 2

First, we need to perform the subtraction operation in the parentheses. $4. -.7 =0.6$

STEP 3

Now, we note the number of decimal places in the result of the subtraction. The number0.6 has one decimal place.

STEP 4

Next, we perform the multiplication operation.
$(4.3 -3.7) \times12.3 =0.6 \times12.3 =7.38$

STEP 5

We note the number of significant figures in each of the numbers involved in the multiplication. The number0. has two significant figures and the number12.3 has three significant figures.

STEP 6

Since the result of the multiplication should have the same number of significant figures as the number with the least significant figures in the calculation, our final answer should have two significant figures.

STEP 7

Therefore, we round the result of the multiplication to two significant figures.
$7.38 \approx7.4$ The answer should be reported with two significant figures7.4.

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QuestionReport the significant digits in the calculation: (4.3−3.7)×12.3=(4.3-3.7) \times 12.3=(4.3−3.7)×12.3=

Studdy Solution

STEP 1

STEP 2

First, we need to perform the subtraction operation in the parentheses.4.−.7=0.64. -.7 =0.64.−.7=0.6

STEP 3

Now, we note the number of decimal places in the result of the subtraction. The number0.6 has one decimal place.

STEP 4

Next, we perform the multiplication operation.(4.3−3.7)×12.3=0.6×12.3=7.38(4.3 -3.7) \times12.3 =0.6 \times12.3 =7.38(4.3−3.7)×12.3=0.6×12.3=7.38

STEP 5

We note the number of significant figures in each of the numbers involved in the multiplication. The number0. has two significant figures and the number12.3 has three significant figures.

STEP 6

Since the result of the multiplication should have the same number of significant figures as the number with the least significant figures in the calculation, our final answer should have two significant figures.

STEP 7

Therefore, we round the result of the multiplication to two significant figures.7.38≈7.47.38 \approx7.47.38≈7.4The answer should be reported with two significant figures7.4.

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QuestionReport the significant digits in the calculation: $(4.3-3.7) \times 12.3=$

First, we need to perform the subtraction operation in the parentheses. $4. -.7 =0.6$

Next, we perform the multiplication operation.
$(4.3 -3.7) \times12.3 =0.6 \times12.3 =7.38$

Therefore, we round the result of the multiplication to two significant figures.
$7.38 \approx7.4$ The answer should be reported with two significant figures7.4.