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3 years ago

Divide 4 1/5 by 3 1/8. simplify the answer and write as a mixed number.

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

(4 1/5) / (3 1/8) =
(21/5) / (25/8) =
21/5 * 8/25 =
168/125 =
1 43/125 <==

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3 years ago

Which shows the expression below in simplified form? (7 × 10-3) - (2.3 × 10-6) A. 6.9977 × 10-3 B. 6.99977 × 10-3 C. 6.9977 × 10

rosijanka [135]

Option A

$(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = 6.9977 \times 10^{-3}$

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Given expression is:

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To evaluate the expression, let us make the exponent of 10 same

$2.3 \times 10^{-6} = 0.0023 \times 10^{-6+3} = 0.0023 \times 10^{-3}$

[ Here, decimal point is moved three times left, so add 3 ]

Therefore,

$(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = (7 \times 10^{-3}) - (0.0023 \times 10^{-3})$

$\text{Take the } 10^{-3} \text{ as common }$

$(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3}(7-0.0023)\\\\\text{ Solve for terms inside the bracket }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3} \times 6.9977\\\\\text{Therefore, the simplified expression is: }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 6.9977 \times 10^{-3}$

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