Percentages, Fractions, and Decimal Values

There are 10 tenths in 1 whole. This is because a whole can be divided into 10 equal parts, and each part represents one-tenth. Therefore, when you combine all 10 tenths, they equal 1 whole.

No structure can be 100 percent failure proof due to inherent uncertainties in materials, design, and environmental conditions. Factors such as material fatigue, human error, natural disasters, and unforeseen circumstances can compromise structural integrity. Additionally, the complexities of real-world applications often introduce variables that are difficult to predict or control. As a result, while engineers can design for high reliability, absolute failure proofing is unattainable.

A decimal model to represent the decimal 3.05 can be visualized using base-ten blocks or a number line. In this model, the whole number 3 is represented by three full blocks, while the decimal part, 0.05, can be shown as 5 hundredths, which could be represented by five small squares or dots, each representing one-hundredth. Together, they visually illustrate the value of 3.05 by combining the whole number and the fractional part.

To divide 57 by 100, you simply perform the operation 57 ÷ 100. This results in 0.57, as dividing by 100 shifts the decimal point two places to the left. Thus, 57 divided by 100 equals 0.57.

To convert 10.31 into a mixed number, start by separating the whole number from the decimal. The whole number is 10, and the decimal 0.31 can be expressed as a fraction: 31/100. Therefore, 10.31 as a mixed number is 10 31/100.

Value Added Tax (VAT) in the UK was temporarily reduced to 15 percent from December 1, 2008, as part of the government's measures to stimulate the economy during the financial crisis. This reduced rate remained in effect until January 1, 2010, when it was increased back to 17.5 percent.

In the number 6397, the digit in the hundreds place is 6. The place values of the digits from right to left are units (7), tens (9), hundreds (3), and thousands (6). Therefore, the hundreds place represents the value of 600.

Ten percent of 35 pounds is 3.5 pounds. You can calculate this by multiplying 35 by 0.10 (which represents 10 percent). Thus, 35 x 0.10 = 3.5.

Speeding significantly contributes to highway fatalities, accounting for around 30 percent of all highway deaths. This statistic underscores the importance of adhering to speed limits and driving safely to reduce the risk of accidents. Speeding not only increases the likelihood of crashes but also exacerbates the severity of injuries sustained during accidents. Promoting awareness and enforcement of speed regulations can help mitigate this serious issue.

People use tenths as a way to express fractions or decimals that represent one part of ten equal parts. This is common in various contexts, such as measuring distances (e.g., 3.5 miles), grading systems (e.g., scores of 87.6%), or financial calculations (e.g., $9.75). Tenths facilitate precise communication of values, making them easier to understand and compare. Overall, they serve as a practical tool in everyday mathematics and decision-making.

The decimal 0.42857143 can be expressed as the fraction 3/7. This is because the repeating decimal 0.428571, which represents 3/7, continues indefinitely. To convert it to a fraction, you recognize that 0.428571 is approximately equal to 3/7, making it a repeating decimal representation.

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Two equivalent ratios for ( \frac{15}{7} ) can be found by multiplying both the numerator and the denominator by the same number. For example, multiplying by 2 gives ( \frac{30}{14} ), and multiplying by 3 gives ( \frac{45}{21} ). Therefore, ( \frac{30}{14} ) and ( \frac{45}{21} ) are both equivalent ratios to ( \frac{15}{7} ).

To find 13 out of 14 as a percentage, you divide 13 by 14 and then multiply the result by 100. This calculation gives you approximately 92.86%. Therefore, 13 out of 14 is about 92.86%.

Thirty hundredths is equivalent to 0.30 or 30%. It can also be expressed as the fraction 30/100, which simplifies to 3/10.

Five thousand six hundredths is written as 5,600. In decimal form, it is expressed as 56.00 or simply 56, since the two decimal places indicate the hundredths.

1/6 = 2/12 = 4/24 = 8/48 = 16/96 = 32 / 192 et seq.,

NB Three horizontal lines (=) means 'Equivalent to' ; NOT 'equal to'.

2/6 is the equivalent fraction to ' 1/3 '.

2.6 = 2 6/10 = 2 3/5 (Mixed number) or '23/5' Improper fraction.

0.428

Since there are three decimal places, we write the decimal over ' 1.000' ; Note 3 zeroes. .

Hence

0.428 / 1.000

Cancel down the decimal point

0428/1000

Drop the trivial prefix zero in the numerator

428/1000

Cancel down by '4'

107/250 Is the fraction in its simplest form !!!!!

NB THis method is good for converting any terminating decimal to a fraction. Just remember the number of decimal places is the same as the number of zeroes in the denominator.

Ten twelved is 10/12

Since '2' is a common factor to both '10' & '12' , then cancel down by '2'

Hence

10/12 = 5/6 (This is the fraction in its simplest form).

A decrease of energy by 90 percent means that only 10 percent of the original energy remains. For example, if you start with 100 joules of energy, a 90 percent decrease would result in just 10 joules remaining. This significant reduction can occur in various contexts, such as in physical systems, energy consumption, or even in the decay of radioactive materials.

When you multiply a number by 100, you effectively shift the decimal point two places to the right. This is because 100 has two zeros, and each zero represents a power of ten. For example, multiplying 5 by 100 results in 500, which shows the two zeros added to the end of the original number. This process helps to easily scale the number up by a factor of 100.

To find out how many tenths are in 2347, you can multiply 2347 by 10, since each whole number contains 10 tenths. Therefore, 2347 has 23,470 tenths.

One sixth of a cup is a measurement used in cooking and baking, equivalent to approximately 2 tablespoons plus 2 teaspoons. In decimal form, it represents about 0.167 cups. This measurement is often used for ingredients that need to be measured in smaller quantities.