RBSE Solutions Class 6 Maths Chapter 6 Decimal Numbers More Ques

Page No. 75

Question 1. You too measure pencil, rubber and other things from your bag by scale and fill in the table.
Answer: Students should use a scale to measure various items from their school bag, such as a pencil, pen, rubber, notebook, book, and pencil box. Then, they should record the exact length of each item in the table provided. This helps them understand how to use a scale and read measurements accurately.
Here is an example of how the table can be filled:

In simple words: Measure your school items with a ruler and write down their lengths in the table. The example shows how to do this.
🎯 Exam Tip: When measuring, ensure the item starts at the '0' mark of the scale for the most accurate reading.

Page No. 76

Question 1. Show the decimal numbers 0.6, 1.3 and 2.5 on number line.
Answer: To show decimal numbers on a number line, we first locate the whole number part, then divide the segment between that whole number and the next into ten equal parts, each representing 0.1. For 0.6, we count six marks after 0. For 1.3, we go past 1 and count three marks. For 2.5, we go past 2 and count five marks. This visual representation helps to understand the relative position of decimals.

In simple words: To show decimals like 0.6, 1.3, and 2.5 on a number line, first find the whole number. Then, split the space to the next whole number into ten small parts. Count the right number of small parts to mark your decimal.

🎯 Exam Tip: Always make sure the number line is evenly spaced, and each segment (e.g., between 0 and 1) is clearly divided into ten parts to mark tenths accurately.

Page No. 81

Question 1. Which number is greater in the following?
(i) 3.07 and 3.89
(ii) 0.57 and 0.05
(iii) 147.8 and 147.08
(iv) 9.5 and 5.92
Answer: To find the greater number, we compare the digits from left to right, starting with the whole number part and then moving to the decimal places (tenths, hundredths, etc.). The first digit that is different tells us which number is larger. If one number has more decimal places, we can add zeros to the shorter one to make the comparison easier.
(i) Comparing 3.07 and 3.89: The whole number part (3) is the same. Comparing the tenths place: 0 in 3.07 and 8 in 3.89. Since 8 > 0, 3.89 is greater. Thus, number 3.89 is greater than number 3.07.
(ii) Comparing 0.57 and 0.05: The whole number part (0) is the same. Comparing the tenths place: 5 in 0.57 and 0 in 0.05. Since 5 > 0, 0.57 is greater. Thus, number 0.57 is greater than number 0.05.
(iii) Comparing 147.8 and 147.08: The whole number part (147) is the same. Comparing the tenths place: 8 in 147.8 and 0 in 147.08. Since 8 > 0, 147.8 is greater. We can write 147.8 as 147.80 for easier comparison with 147.08. Thus, number 147.8 is greater than number 147.08.
(iv) Comparing 9.5 and 5.92: Comparing the whole number part: 9 in 9.5 and 5 in 5.92. Since 9 > 5, 9.5 is greater. Thus, number 9.5 is greater than number 5.92.
In simple words: To find which decimal is bigger, look at the numbers from left to right. Start with the whole number. If they are the same, look at the first digit after the decimal point (the tenths place). If that's also the same, look at the next digit (hundredths place) and so on. The number with the larger digit at the first different spot is the bigger number.

🎯 Exam Tip: Always align the decimal points when comparing numbers; it helps to clearly see which digits are in the same place value position.

Page No. 74

Question 2.
(i) Subtract 1.67 from 5.47.
(ii) Subtract 4.07 from 8.90.
Answer: To subtract decimal numbers, we need to line up the decimal points and then subtract digits in each column, starting from the rightmost digit, just like with whole numbers. If a digit in the top number is smaller, we borrow from the left.
(i) Subtract 1.67 from 5.47:
5.47
- 1.67
3.80
So, 5.47 - 1.67 = 3.80.
(ii) Subtract 4.07 from 8.90:
8.90
- 4.07
4.83
So, 8.90 - 4.07 = 4.83.
In simple words: To subtract decimals, put the bigger number on top and line up the decimal points. Then, subtract each column of numbers, starting from the right, just like you subtract normal numbers. Make sure to borrow if you need to.

🎯 Exam Tip: Double-check your subtraction by adding the answer to the number you subtracted – you should get the original top number if your calculation is correct.

Page No. 75

Question 2. How much is the length of Rehman's compass?
Answer: Based on the visual shown on the scale, Rehman's compass is longer than 5 cm but shorter than 6 cm. If we divide each centimeter into 10 smaller parts, we can see that the compass reaches 4 parts beyond the 5 cm mark. Therefore, the total length of Rehman's compass is 5.4 cm. This demonstrates how to read and interpret measurements on a standard ruler with decimal precision.
In simple words: Rehman's compass is 5.4 cm long. It goes past the 5 cm mark and covers 4 small lines (tenths) after it.

🎯 Exam Tip: When reading a scale, first identify the whole number, then count the smaller divisions (tenths) to get the decimal part of the measurement.

Question 1. Find the place value of number 523.
Answer: The place value of a digit tells us its position in a number, which affects its value. In the number 523, we have three digits, each with a specific place value. Understanding place value is fundamental for working with larger numbers and decimals.
- Place value of 5: The digit 5 is in the hundreds place, so its value is \( 5 \times 100 = 500 \).
- Place value of 2: The digit 2 is in the tens place, so its value is \( 2 \times 10 = 20 \).
- Place value of 3: The digit 3 is in the ones place, so its value is \( 3 \times 1 = 3 \).
In simple words: For the number 523: the 5 means 500, the 2 means 20, and the 3 means 3. Each number's position gives it a special value.

🎯 Exam Tip: Always remember that moving one place to the left in a number multiplies the place value by 10, and moving one place to the right divides it by 10.

Question 2. Fill the following table.
Answer: To fill the table, we break down each decimal number into its place values: Hundred, Tens, Unit (Ones), and Tenth. For example, in 124.5, 1 is in the hundreds place, 2 in tens, 4 in units, and 5 in the tenths place. This exercise reinforces the concept of place value for decimal numbers.

In simple words: For each number in the table, write down what digit is in the Hundreds spot, what's in the Tens spot, what's in the Units spot, and what's in the Tenths spot.
🎯 Exam Tip: Remember that the decimal point separates the whole number parts (Units, Tens, Hundreds) from the fractional parts (Tenths, Hundredths, etc.).

Page No. 79

Question 1. Write the following numbers in words :
1. 45.36 cm =
2. Rs 325.25 =
Answer: When writing decimal numbers in words, we state the whole number part first, then use "point" (or "decimal") for the decimal point, and then state the digits after the decimal point individually. It's important to be precise with currency units like Rupees and measurement units like centimeters.
1. 45.36 cm = Forty five point three six centimeters.
2. Rs 325.25 = Three hundred twenty five rupees and twenty five paise (or three hundred twenty five point two five rupees).
In simple words: When you write a decimal number in words, say the whole part first. Then say "point" and read each number after the point separately. For money, say the rupees and then the paise.

🎯 Exam Tip: Always state the units (like cm or Rs) clearly after writing the number in words to make the meaning complete.