What is 5.2 as a decimal

Add: Add: 4. We will show the steps to calculate this in the next example. Subtract: 2. If we subtract 7. To subtract easily, we can subtract 2. Then we will place the negative sign in the result. Subtract: 4.

Subtract: 8. Multiplying decimals is very much like multiplying whole numbers—we just have to determine where to place the decimal point. The procedure for multiplying decimals will make sense if we first review multiplying fractions. Do you remember how to multiply fractions? To multiply fractions, you multiply the numerators and then multiply the denominators. We will do two examples side-by-side in Table 5. Look for a pattern. There is a pattern that we can use. In A, we multiplied two numbers that each had one decimal place, and the product had two decimal places.

In B, we multiplied a number with one decimal place by a number with two decimal places, and the product had three decimal places. How many decimal places would you expect for the product of 0. When we multiply two numbers with decimals, we count all the decimal places in the factors—in this case two plus three—to get the number of decimal places in the product—in this case five. Once we know how to determine the number of digits after the decimal point , we can multiply decimal numbers without converting them to fractions first.

The number of decimal places in the product is the sum of the number of decimal places in the factors. The rules for multiplying positive and negative numbers apply to decimal s, too, of course. When you multiply signed decimals, first determine the sign of the product and then multiply as if the numbers were both positive. Finally, write the product with the appropriate sign.

Multiply: 3. Multiply: 4. Multiply: Multiply: 0. In many fields, especially in the sciences, it is common to multiply decimal s by powers of Look at the results without the final zeros. Do you notice a pattern? The number of places that the decimal point moved is the same as the number of zeros in the power of ten. Table 5.

We can use this pattern as a shortcut to multiply by powers of ten instead of multiplying using the vertical format. We can count the zeros in the power of 10 10 and then move the decimal point that same of places to the right. So, for example, to multiply Sometimes when we need to move the decimal point, there are not enough decimal places.

In that case, we use zeros as placeholders. We need to move the decimal point 2 2 places to the right. Since there is only one digit to the right of the decimal point, we must write a 0 0 in the hundredths place. Multiply 5. By looking at the number of zeros in the multiple of ten, we see the number of places we need to move the decimal to the right. Multiply 2. Multiply Just as with multiplication, division of decimals is very much like dividing whole numbers.

We just have to figure out where the decimal point must be placed. Remember, a multiplication problem can be rephrased as a division problem. So we can write. Notice that the decimal point in the quotient is directly above the decimal point in the dividend.

To divide a decimal by a whole number, we place the decimal point in the quotient above the decimal point in the dividend and then divide as usual. Sometimes we need to use extra zeros at the end of the dividend to keep dividing until there is no remainder. Divide: 0. In everyday life, we divide whole numbers into decimals—money—to find the price of one item. This means the price per bottle is 17 17 cents. So far, we have divided a decimal by a whole number. What happens when we divide a decimal by another decimal?

Remember, again, that a multiplication problem can be rephrased as a division problem. This means that 0. We would get the same answer, 4 , 4 , if we divide 8 8 by 2 , 2 , both whole numbers. Why is this so? We multiplied the numerator and denominator by 10 10 and ended up just dividing 8 8 by 2. To divide decimals, we multiply both the numerator and denominator by the same power of 10 10 to make the denominator a whole number.

The effect is to move the decimal points in the numerator and denominator the same number of places to the right. We use the rules for dividing positive and negative numbers with decimals, too. When dividing signed decimals, first determine the sign of the quotient and then divide as if the numbers were both positive. Finally, write the quotient with the appropriate sign. Now we will divide a whole number by a decimal number.

We can relate this example to money. How many nickels are there in four dollars? We often apply decimals in real life, and most of the applications involving money. The Strategy for Applications we used in The Language of Algebra gives us a plan to follow to help find the answer. Take a moment to review that strategy now. How much of her babysitting money was left? How much did Amber spend? Jessie put 8 8 gallons of gas in her car. How much does Jessie owe for the gas? Round the answer to the nearest cent.

Hector put 13 13 gallons of gas into his car. How much did Hector owe for the gas? Round to the nearest cent. Christopher bought 5 5 pizzas for the team. How much did all the pizzas cost? Four friends went out for dinner. They shared a large pizza and a pitcher of soda. If they divide the cost equally, how much should each friend pay? Six friends went out for dinner.

If they divide the bill equally, how much should each friend pay? How much does he earn per hour? Be careful to follow the order of operations in the next example. Remember to multiply before you add. How much is the total cost of the fruit? How much is the total cost of these groceries? Lydia bought movie tickets for the family. How much did the tickets cost Lydia in all? Use Decimals in Money Applications. How much money did she have left? How much did Adam spend? How much did Roberto spend?

How much did she pay for the box of cereal? How much did she pay for the can of coffee? Diet Leo took part in a diet program. He weighed pounds at the start of the program. During the first week, he lost 4. During the second week, he had lost 2. The third week, he gained 0.

The fourth week, he lost 1. What did Leo weigh at the end of the fourth week? Snowpack On April 1 , 1 , the snowpack at the ski resort was 4 4 meters deep, but the next few days were very warm. By April 5 , 5 , the snow depth was 1. On April 8 , 8 , it snowed and added 2. What was the total depth of the snow?

Coffee Noriko bought 4 4 coffees for herself and her co-workers. How much did she pay for all the coffees? Last week she rode the subway 6 6 days. How much did she spend for the subway fares? Last week she worked 32 32 hours.

To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, if there are two numbers, 1, if it's three numbers and 10, if it's The next step is to simplify this fraction and, to do that, we need to find the greatest common factor GCF.

This is sometimes also known as:. In the case of 52 and 10, the greatest common divisor is 2. This means that to simplify the fraction we can divide by the numerator and the denominator by 2 and we get:. And there you have it! In just a few short steps we have figured out what 5. The complete answer for your enjoyment is below:.

Note: because 52 is greater than 10 we have simplified this fraction even further to a mixed fraction. Hopefully this tutorial has helped you to understand how to convert a decimal number into a fraction. You can now go forth and convert decimals to fractions as much as your little heart desires! If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it.

We really appreciate your support! Accessed on November 12, Accessed 12 November, What is 5. Preset List of Decimals to Fractions Below are links to some preset decimal calculations that are commonly searched for:. If you really love decimal to fraction conversions and just can't get enough, here are some random calculations for you:. Visual Fractions. What is 0. What is 1. What is 2.