CBSE Class 5 Mathematics NCERT Solutions: Tenths and Hundredths

The length of the smallest pencil used can vary from person to person. Based on common experience, a small pencil might be around 5 cm long. This is a personal observation question, and the answer reflects a typical small pencil size.

This question requires a physical measurement. First, you would guess the length of a given pencil. For example, one might guess it to be 3.5 cm. Then, using a ruler or scale, you would measure the actual length. If the actual measurement is, for instance, 3.6 cm, then the guess was quite good as it was very close to the actual length.

To answer this, you need to measure the pencil using a ruler that shows millimeters. Let's assume the pencil measures 6 mm. To convert millimeters to centimeters, we use the relationship that 10 mm = 1 cm. Therefore, 6 mm is equal to $\backslash frac\{6\}\{10\}$ cm, which is 0.6 cm. So, the length of the pencil is 6 mm, or 0.6 cm.

This is a question that encourages observation and personal experience. Yes, one might have seen frogs in gardens, near ponds, or in wet areas. Different types of frogs exist, varying in color and size. For example, some frogs are small and green, while others can be larger and brown. It is evident that frogs are not all the same length; there is a wide variation in their sizes.

The length of this small frog is given as 0.9 cm. A typical adult little finger is about 5 to 7 cm long. If we consider a little finger to be approximately 5 cm long, we can estimate how many 0.9 cm frogs would fit. Dividing the finger length by the frog's length: $5\; \backslash text\{\; cm\}\; \backslash div\; 0.9\; \backslash text\{\; cm/frog\}\; \backslash approx\; 5.5\; \backslash text\{\; frogs\}$. Therefore, about 5 or 6 such frogs could potentially sit on a little finger, depending on the finger's exact size and how closely they sit.

This statement provides information about the size of a bullfrog, which is one of the largest frog species. Its length is given as 30.5 cm. This highlights the significant difference in size between the smallest frogs (like the 0.9 cm one) and the largest ones.

The decimal number 0.9 cm means 9 tenths of a centimeter. Since 1 centimeter is equal to 10 millimeters, 9 tenths of a centimeter is equivalent to 9 millimeters. So, 0.9 cm is indeed the same as 9 mm, and it is correctly stated as nine-tenths of a cm.

The number 30.5 cm can be broken down into its whole number part and its decimal part. The whole number part is 30 cm. The decimal part is 0.5 cm. Since 1 cm is equal to 10 mm, 0.5 cm is equal to $0.5\; \backslash times\; 10\; =\; 5$ millimeters. Therefore, 30.5 cm is the same as 30 cm and 5 millimeters.

We know that the length of a big frog (bull frog) is 30.5 cm. A 1-meter scale is equal to 100 centimeters. To find out how many big frogs can fit on a 1-meter scale, we divide the total length of the scale by the length of one frog: $\backslash frac\{100\; \backslash text\{\; cm\}\}\{30.5\; \backslash text\{\; cm/frog\}\}\; \backslash approx\; 3.27\; \backslash text\{\; frogs\}$. Since we can only fit whole frogs, approximately 3 big frogs can fit along a 1-meter scale. There might be some space left over.

The length of a small frog is 0.9 cm, which is equal to 9 mm. A 1-meter scale is equal to 100 cm, or 1000 mm. To find out how many small frogs will cover 1 meter, we divide the total length of the scale in millimeters by the length of one small frog in millimeters: $\backslash frac\{1000\; \backslash text\{\; mm\}\}\{9\; \backslash text\{\; mm/frog\}\}\; \backslash approx\; 111.11\; \backslash text\{\; frogs\}$. Therefore, about 111 small frogs can cover a length of 1 meter when placed in a straight line.

To determine the length of the nail, we need to observe the provided image or scale. Assuming the nail measures 2 cm and 9 mm, we can convert this to centimeters. Since 9 mm is equal to $\backslash frac\{9\}\{10\}$ cm or 0.9 cm, the total length of the nail is 2 cm + 0.9 cm = 2.9 cm. So, the length is 2 cm and 9 mm, or 2.9 cm.

This statement provides an example of how to write a measurement in two different ways. The length of the lady's finger is given as 8 cm and 3 mm. To write this in centimeters only, we convert the millimeters part to centimeters. Since 3 mm is equal to $\backslash frac\{3\}\{10\}$ cm or 0.3 cm, the total length is 8 cm + 0.3 cm = 8.3 cm. This demonstrates the conversion from a mixed unit measurement to a decimal centimeter measurement.