CBSE Class 5  >  Class 5 Notes  >  Mathematics  >  Word Problem: Decimals - 3

Word Problem: Decimals - 3

Q1: Each batch of cookie mix needs 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Ans:
0.4 × 4 = 1.6
Therefore, she needs 1.6 cups of sugar.

Q2: Ashley measured 1.43 cups of sugar. How much more sugar does she need?
Ans: 
Required - Measured = Additional needed
1.60 - 1.43 = 0.17
She needs 0.17 cups more sugar.

Q3: After she finished making the cookies, Ashley had 0.945 kg of flour left. How much flour did she use?
Ans: 
Initial flour - Remaining flour = Flour used
2.64 - 0.945 = 1.695 kg
She used 1.695 kg of flour.

Q4: Ashley found 2 boxes of sugar in the kitchen. The green box is 1.26 kg, and the red box is 1.026 kg. Which box contains more sugar?
Ans: 
Compare the amounts by writing with the same number of decimal places:
1.260 kg > 1.026 kg
So, the green box contains more sugar.

Q5: She has 3 bags of flour. She has two smaller bags with 0.75 kg of flour each and a bigger bag which has 1.14 kg. How much flour does she have in total?
Ans: 
Add the two smaller bags first: 0.75 + 0.75 = 1.50 kg
Now add the bigger bag: 1.50 + 1.14 = 2.64 kg
She has 2.64 kg of flour in total.

Q6: Each batch of cookies is 8.9 oz. What is the weight of 2.5 batches of cookies?
Ans:
8.9 × 2.5 = 22.25 oz
The weight of 2.5 batches of cookies is 22.25 oz.

Q7: Write the smallest and greatest 6-digit numbers formed by using digits 1,0,5,7 with repetition.
Ans: 
To make the greatest 6-digit number, use the largest digit (7) in every place: 777777 → 7,77,777 (Indian grouping).
To make the smallest 6-digit number, the first digit cannot be 0, so use 1 followed by zeros: 100000 → 1,00,000.
Greatest 6-digit number with repetition = 7,77,777
Smallest 6-digit number with repetition = 1,00,000

Q8: The difference between the two numbers is 3856749. If the smaller number is 2565638. Find the greater number.
Ans: 
Greater number = Smaller number + Difference
3,856,749 + 2,565,638 = 6,422,387
So, the greater number is 6,422,387 (written as 64,22,387 in Indian grouping).

Q9: A thread of length 20m has been divided into 5 pieces. What is the length of each piece?
Ans: 
Total length ÷ Number of pieces = Length of each piece
20 ÷ 5 = 4 m
Each piece is 4 m long.

Q10: Arrange in descending order 4123676,71204381,176489,3240973
Ans: 
Count digits to compare sizes:
4123676 → 7 digits
71204381 → 8 digits
176489 → 6 digits
3240973 → 7 digits
Numbers with more digits are larger, so descending order from largest to smallest is:
71204381, 4123676, 3240973, 176489.

Q11: The mass of a bag is 2kg 890g. What is the mass of 14 such bags?
Ans: 
Convert to grams: 2 kg 890 g = 2,890 g
Total mass in grams = 2,890 × 14 = 40,460 g
Convert back to kg and g: 40,460 g = 40 kg 460 g
So, mass of 14 bags = 40 kg 460 g.

Q12: A man had Rs. 2,08,78,560 amounts in his bank. He withdrew Rs. 48,36,980 in the month of January, Rs. 3,95,648 in the month of February and Rs. 45,000 in the month of March. What is the amount remaining in his bank account by the end of March?
Ans:
Total amount = Rs. 2,08,78,560
After January withdrawal: 2,08,78,560 - 48,36,980 = 1,60,41,580
After February withdrawal: 1,60,41,580 - 3,95,648 = 1,56,45,932
After March withdrawal: 1,56,45,932 - 45,000 = 1,56,00,932
Amount remaining by the end of March = Rs. 1,56,00,932.

The document Word Problem: Decimals - 3 is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Word Problem: Decimals - 3

1. What are decimals?
Ans. Decimals are a way of expressing numbers that are not whole numbers. They use a dot, known as a decimal point, to separate the whole number part from the fractional part. For example, in the number 3.14, 3 is the whole number, and 14 is the fraction, which represents 14 hundredths.
2. How do you add decimals?
Ans. To add decimals, you should first align the numbers by their decimal points. Then, add the numbers starting from the rightmost digit to the left. If a column sums to more than 9, carry over the extra value to the next column. For example, to add 1.25 and 2.3, align them as follows: 1.25 + 2.30 Adding the columns gives 3.55.
3. What is the importance of decimal place value?
Ans. Decimal place value is crucial as it determines the value of each digit in a decimal number. Each position to the right of the decimal point represents a power of ten. For instance, in the number 0.456, the digit 4 is in the tenths place, 5 is in the hundredths place, and 6 is in the thousandths place, indicating their respective values as 0.4, 0.05, and 0.006.
4. How do you subtract decimals?
Ans. To subtract decimals, align the numbers by their decimal points, just as you do in addition. Then subtract each column starting from the right. If a digit in the top number is smaller than the digit below it, you may need to borrow from the next column. For example, subtracting 5.67 from 8.50 would be aligned and calculated as follows: 8.50 - 5.67 The result is 2.83.
5. What are some common mistakes when working with decimals?
Ans. Common mistakes when working with decimals include misaligning the decimal points, forgetting to add zeroes for proper place value, and incorrectly carrying over when necessary during addition or subtraction. Additionally, confusion often arises when converting decimals to fractions or percentages, which requires a clear understanding of each format.
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