Question

question 82
not yet answered
marked out of 1.00
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round to the nearest thousandth if necessary
0.0345 ÷ 0.05
answer:
question 83
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marked out of 1.00
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round to the nearest thousandth if necessary
0.4375 ÷ 0.42
answer:
question 84
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marked out of 1.00
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round to the nearest thousandth if necessary
7.5 ÷ 0.125
answer:

Explanation:

Question 82

Step1: Perform the division

To divide \(0.0345\) by \(0.05\), we can multiply both the numerator and the denominator by \(10000\) to eliminate the decimals (or use the division rule for decimals). So, \(0.0345\div0.05=\frac{0.0345}{0.05}\). Multiply numerator and denominator by \(100\) to make the denominator a whole number: \(\frac{0.0345\times100}{0.05\times100}=\frac{3.45}{5}\). Now, divide \(3.45\) by \(5\).
\(3.45\div5 = 0.69\) (since \(5\times0.69 = 3.45\))

Step2: Check if rounding is needed

The result \(0.69\) has two decimal places. Since we need to round to the nearest thousandth (three decimal places), we can write it as \(0.690\) (but the value is still \(0.69\) as there are no more decimal places to consider for rounding here).

Step1: Perform the division

We need to calculate \(0.4375\div0.42\). Let's do the division: \(0.4375\div0.42=\frac{0.4375}{0.42}\). Multiply numerator and denominator by \(10000\) to get rid of decimals: \(\frac{0.4375\times10000}{0.42\times10000}=\frac{4375}{4200}\). Simplify this fraction or perform the division directly. \(4375\div4200\approx1.041666\cdots\)

Step2: Round to the nearest thousandth

The thousandth place is the third decimal place. The number is \(1.041666\cdots\). The digit in the fourth decimal place is \(6\), which is greater than or equal to \(5\), so we round up the third decimal place. So, \(1.041666\cdots\approx1.042\)

Step1: Perform the division

To divide \(7.5\) by \(0.125\), we can use the fact that dividing by \(0.125\) is the same as multiplying by \(8\) (since \(0.125=\frac{1}{8}\), and dividing by a fraction is multiplying by its reciprocal). So, \(7.5\div0.125 = 7.5\times8\)

Step2: Calculate the product

\(7.5\times8 = 60\)

Step3: Check if rounding is needed

The result is \(60\), which is an integer. To round to the nearest thousandth, we can write it as \(60.000\) (since there are no decimal places, adding zeros after the decimal doesn't change the value).

Answer:

\(0.69\) (or \(0.690\))

Question 83