Math / Numbers & Operations

QuestionQUESTION 8 Perform the following calculation using the appropriate significant figure rules. $2.93-17.21 / 15.23+17.21=$ ?

Studdy Solution

STEP 1

1. Significant figure rules must be applied to each operation performed.
2. The arithmetic operations involved are subtraction, division, and addition.
3. The final result should be expressed with the correct number of significant figures based on the operations performed.

STEP 2

1. Perform the division $\frac{17.21}{15.23}$ .
2. Perform the subtraction $2.93 - \left(\frac{17.21}{15.23}\right)$ .
3. Perform the addition of the result from step 2 to $17.21$ .
4. Apply significant figure rules to each step and express the final result with the correct number of significant figures.

STEP 3

Perform the division $\frac{17.21}{15.23}$ , and determine the number of significant figures in the result.
$\frac{17.21}{15.23} \approx 1.1302$
Since both 17.21 and 15.23 have four significant figures, the result should be rounded to four significant figures:
$\frac{17.21}{15.23} \approx 1.130$

STEP 4

Perform the subtraction $2.93 - 1.130$ .
$2.93 - 1.130 \approx 1.80$
The number of decimal places in the result should match the least number of decimal places of the numbers used in the subtraction (2 decimal places).

STEP 5

Perform the addition of the result from step 2 to $17.21$ .
$1.80 + 17.21 \approx 19.01$
The number of decimal places in the result should match the least number of decimal places of the numbers used in the addition (2 decimal places).

STEP 6

The final result, considering significant figures, is:
$19.01$

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QuestionQUESTION 8 Perform the following calculation using the appropriate significant figure rules. $2.93-17.21 / 15.23+17.21=$ ?

Studdy Solution

STEP 1

1. Significant figure rules must be applied to each operation performed.
2. The arithmetic operations involved are subtraction, division, and addition.
3. The final result should be expressed with the correct number of significant figures based on the operations performed.

STEP 2

STEP 3

Perform the division $\frac{17.21}{15.23}$ , and determine the number of significant figures in the result.
$\frac{17.21}{15.23} \approx 1.1302$
Since both 17.21 and 15.23 have four significant figures, the result should be rounded to four significant figures:
$\frac{17.21}{15.23} \approx 1.130$

STEP 4

Perform the subtraction $2.93 - 1.130$ .
$2.93 - 1.130 \approx 1.80$
The number of decimal places in the result should match the least number of decimal places of the numbers used in the subtraction (2 decimal places).

STEP 5

Perform the addition of the result from step 2 to $17.21$ .
$1.80 + 17.21 \approx 19.01$
The number of decimal places in the result should match the least number of decimal places of the numbers used in the addition (2 decimal places).

STEP 6

The final result, considering significant figures, is:
$19.01$

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QuestionQUESTION 8 Perform the following calculation using the appropriate significant figure rules. 2.93−17.21/15.23+17.21=2.93-17.21 / 15.23+17.21=2.93−17.21/15.23+17.21= ?

Studdy Solution

STEP 1

1. Significant figure rules must be applied to each operation performed.2. The arithmetic operations involved are subtraction, division, and addition.3. The final result should be expressed with the correct number of significant figures based on the operations performed.

STEP 2

STEP 3

STEP 4

Perform the subtraction 2.93−1.1302.93 - 1.1302.93−1.130.2.93−1.130≈1.80 2.93 - 1.130 \approx 1.80 2.93−1.130≈1.80The number of decimal places in the result should match the least number of decimal places of the numbers used in the subtraction (2 decimal places).

STEP 5

Perform the addition of the result from step 2 to 17.2117.2117.21.1.80+17.21≈19.01 1.80 + 17.21 \approx 19.01 1.80+17.21≈19.01The number of decimal places in the result should match the least number of decimal places of the numbers used in the addition (2 decimal places).

STEP 6

The final result, considering significant figures, is:19.01 19.01 19.01

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

QuestionQUESTION 8 Perform the following calculation using the appropriate significant figure rules. $2.93-17.21 / 15.23+17.21=$ ?

1. Significant figure rules must be applied to each operation performed.
2. The arithmetic operations involved are subtraction, division, and addition.
3. The final result should be expressed with the correct number of significant figures based on the operations performed.

Perform the subtraction $2.93 - 1.130$ .
$2.93 - 1.130 \approx 1.80$
The number of decimal places in the result should match the least number of decimal places of the numbers used in the subtraction (2 decimal places).

Perform the addition of the result from step 2 to $17.21$ .
$1.80 + 17.21 \approx 19.01$
The number of decimal places in the result should match the least number of decimal places of the numbers used in the addition (2 decimal places).

The final result, considering significant figures, is:
$19.01$