Math / Numbers & Operations

Question7) $\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}$

Studdy Solution

STEP 1

1. We are given the expression $\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}$ .
2. We need to simplify this expression to find the result.

STEP 2

1. Simplify the coefficients.
2. Simplify the powers of 10.
3. Combine the results to find the final answer.

STEP 3

Identify and simplify the coefficients of the expression:
$\frac{7.1}{8.2}$
Calculate this division:
$\frac{7.1}{8.2} \approx 0.86585$

STEP 4

Identify and simplify the powers of 10:
$\frac{10^{6}}{10^{1}} = 10^{6-1} = 10^{5}$

STEP 5

Combine the simplified coefficient and power of 10:
$0.86585 \times 10^{5}$
Express in scientific notation:
$8.6585 \times 10^{4}$
The simplified expression is:
$\boxed{8.6585 \times 10^{4}}$

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Question7) $\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}$

Studdy Solution

STEP 1

1. We are given the expression $\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}$ .
2. We need to simplify this expression to find the result.

STEP 2

1. Simplify the coefficients.
2. Simplify the powers of 10.
3. Combine the results to find the final answer.

STEP 3

Identify and simplify the coefficients of the expression:
$\frac{7.1}{8.2}$
Calculate this division:
$\frac{7.1}{8.2} \approx 0.86585$

STEP 4

Identify and simplify the powers of 10:
$\frac{10^{6}}{10^{1}} = 10^{6-1} = 10^{5}$

STEP 5

Combine the simplified coefficient and power of 10:
$0.86585 \times 10^{5}$
Express in scientific notation:
$8.6585 \times 10^{4}$
The simplified expression is:
$\boxed{8.6585 \times 10^{4}}$

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Question7) 7.1×1068.2×101\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}8.2×1017.1×106​

Studdy Solution

STEP 1

1. We are given the expression 7.1×1068.2×101\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}8.2×1017.1×106​.2. We need to simplify this expression to find the result.

STEP 2

1. Simplify the coefficients.2. Simplify the powers of 10.3. Combine the results to find the final answer.

STEP 3

Identify and simplify the coefficients of the expression:7.18.2\frac{7.1}{8.2}8.27.1​Calculate this division:7.18.2≈0.86585\frac{7.1}{8.2} \approx 0.865858.27.1​≈0.86585

STEP 4

Identify and simplify the powers of 10:106101=106−1=105\frac{10^{6}}{10^{1}} = 10^{6-1} = 10^{5}101106​=106−1=105

STEP 5

Combine the simplified coefficient and power of 10:0.86585×1050.86585 \times 10^{5}0.86585×105Express in scientific notation:8.6585×1048.6585 \times 10^{4}8.6585×104 The simplified expression is:8.6585×104\boxed{8.6585 \times 10^{4}}8.6585×104​

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Question7) $\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}$

1. We are given the expression $\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}$ .
2. We need to simplify this expression to find the result.

1. Simplify the coefficients.
2. Simplify the powers of 10.
3. Combine the results to find the final answer.

Identify and simplify the coefficients of the expression:
$\frac{7.1}{8.2}$
Calculate this division:
$\frac{7.1}{8.2} \approx 0.86585$

Identify and simplify the powers of 10:
$\frac{10^{6}}{10^{1}} = 10^{6-1} = 10^{5}$

Combine the simplified coefficient and power of 10:
$0.86585 \times 10^{5}$
Express in scientific notation:
$8.6585 \times 10^{4}$
The simplified expression is:
$\boxed{8.6585 \times 10^{4}}$