Word Problems on Decimals
Word problems on decimals are solved here step by step.
1. The product of two numbers is 42.63. If one number is 2.1, find the other.
Solution:
Product of two numbers = 42.63
One number = 2.1
Other number = 42.63 ÷ 2.1
= 426.3 ÷ 21
Therefore, the other number is = 20.3
Answers: 20.3
2. John bought 9.25 m of cloth for $425.50. Find the cost price per metre.
Solution:
Cloth bought by John = 9.25 m
Cost of 9.25 m = $425.50
Cost per metre = 425.50 ÷ 9.25
= 42550 ÷ 925
The cost of the cloth per metre = $ 46
Answers: $46
3. One kg Basmati rice costs $ 43.75. Find the cost of 17 kg of rice.
Solution:
Cost of 1 kg rice = 43.75
Cost of 17 kg rice = 43.75 × 17
Therefore, 17 kg rice cost $743.75
Answers: $743.75
4. Nitheeya spent $35.75 on Physics book and $32.60 on Chemistry book. Then find the total amount spent by Nitheeya.
Solution:
Money spent on Physics book = 35 . 75
Money spent on Chemistry book = + 32 . 60
Total amount spent = 68 . 35
Hence, the amount spent by Nitheeya is 68.35.
5. Nairitee bought 24.50 kg onions, 12.40 kg potatoes and 7.450 kg tomatoes. Find the weight of the vegetables she bought in all.
Solution:
Weight of onions = 24.50 kg
Weight of potatoes = 12.40 kg
Weight of tomatoes = 7.450 kg
Therefore, total weight of the vegetables bought is:
24 . 500 kg
+ 12 . 400 kg
+ 7 . 450 kg
44 . 350 kg
Thus, total weight of the vegetables bought = 44.350 kg.
6. Michael spent $ 90.50 and Robert spent $ 67.25 on a picnic. How much more money was spent by Michael than Robert?
Solution:
Michael spent = $ 90 . 50
Robert spent = - $ 67 . 25
Difference = $ 23 . 25
Therefore, Michael spent $ 23.25 more than Robert.
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Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.
While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the
Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole
The rules of subtracting decimal numbers are: (i) Write the digits of the given numbers one below the other such that the decimal points are in the same vertical line. (ii) Subtract as we subtract whole numbers. Let us consider some of the examples on subtraction
Definition of decimal numbers: We have learnt that the decimals are an extension of our number system. We also know that decimals can be considered as fractions whose denominators are 10, 100, 1000
Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.
Concept of like and unlike decimals: Decimals having the same number of decimal places are called like decimals i.e. decimals having the same number of digits on the right of the decimal
In conversion of unlike decimals to like decimals follow the steps of the method. Step I: Find the decimal number having the maximum number of decimal places, say (n). Step II: Now, convert each
In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from the given decimal and take as numerator.
In converting fractions to decimals, we know that decimals are fractions with denominators 10, 100, 1000 etc. In order to convert other fractions into decimals, we follow the following steps:
Practice different types of math questions given in the worksheet on decimal numbers, these math problems will help the students to review decimals number concepts.
Representing decimals on number line shows the intervals between two integers which will help us to increase the basic concept on formation of decimal numbers.
In ordering decimals we will learn how to compare two or more decimals. (i) Convert each of them as like decimals. (ii) Compare these decimals just as we compare two whole numbers ignoring
Practice the questions given in the worksheet on word problems on addition and subtraction of decimals. Read the questions carefully to add or subtract the decimals as required.
Practice the questions given in the worksheet on use of decimals in calculating money, in measuring the length, in measuring the distance, in measuring the mass and in measuring the capacity.
● Decimal.
Decimal Place Value Chart.
Expanded form of Decimal Fractions.
Like Decimal Fractions.
Unlike Decimal Fraction.
Equivalent Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
Comparison of Decimal Fractions.
Conversion of a Decimal Fraction into a Fractional Number.
Conversion of Fractions to Decimals Numbers.
Addition of Decimal Fractions.
Subtraction of Decimal Fractions.
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
Division of a Decimal by a Whole Number.
Division of Decimal Fractions
Division of Decimal Fractions by Multiples.
Division of a Decimal by a Decimal.
Division of a whole number by a Decimal.
Conversion of fraction to Decimal Fraction.
Simplification in Decimals.
Word Problems on Decimal.
5th Grade Numbers Page
5th Grade Math Problems
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