NCERT MCQ Solutions for Class 7 Maths Ganita Prakash Chapter 3 A Peek Beyond the Point

The number 2 7⁄10 cm means 2 cm and 7 one-tenths of a cm. It can be written as 2.7 cm using decimal notation. This shows how the scale divides each unit into 10 equal parts for accuracy.

A unit divided into 10 equal parts results in ten one-tenths. Each one-tenth is 1⁄10 of a unit. This helps measure small lengths accurately such as a screw or a pencil.

41 one-tenths means 41 × 1⁄10 = 41⁄10. It is equal to 4 1⁄10 in mixed number form or 4.1 in decimal form. All represent the same length using different notations.

6 units and 3 one-tenths means 6 + 3⁄10, which equals 6.3. The place value of 3 is tenths, and it appears after the decimal point. This notation makes it easier to add and subtract.

2 7/10 = 2.7 and 3 2⁄10 = 3.2. Since 3.2 > 2.7, 3 2/10 is longer. Decimal notation helps in easy comparison of such values without converting them into fractions.

Adding two tenths: 27⁄10 + 35⁄10 = (27 + 35)⁄10 = 62⁄10. It can be written as 6 2⁄10 or 6.2. Adding fractional parts using the same denominator.

A unit divided into 100 equal parts gives one-hundredths. So, 100 one-hundredths equal 1 unit. This concept helps in understanding values like 4.45 where 45 is in hundredths.

1 1/10 = 11/10 = 110/100, add 4/100 to get 114/100. It is written as 1.14 in decimal form. This shows conversion between mixed numbers and decimal representation.

7 ones and 5 hundredths mean 7 + 5⁄100 = 7.05. The 5 appears in the hundredths place in decimal notation. This accurately represents measurements requiring fine precision.

1 cm = 10 mm, so 5 mm = 5/10 = 0.5 cm. This shows how smaller units like millimeters convert into decimal fractions of a centimeter for accurate measurement.

Since 1 rupee = 100 paise, 75 paise is 75/100 rupee, which is 0.75. Decimal notation helps convert paise into rupees easily and allows comparison with other decimal values in financial contexts.

Folding 8 9/10 units in half gives 4 45/100 or 4.45 units. Both represent the same quantity in different forms—one in mixed fraction and the other in decimal notation.

Both have 6 units and 4 tenths, but 6.465 has 6 hundredths while 6.456 has only 5 hundredths. Comparing digits from left to right, the larger digit at the hundredths place determines the larger value.

25 9/10 – 6 4/10 7/100 = 19 4/10 3/100 = 19.43 = 19.403 (in extended form). These representations are equivalent and show how decimals, mixed numbers, and hundredths can describe the same value.

Converting all values to hundredths and adding gives 1802/100 = 18 2/100. It demonstrates the importance of aligning place values and understanding that 10 hundredths equal one tenth during addition.

Since 1 kg = 1000 g, 254 g = 254⁄1000 = 0.254 kg. This conversion helps understand small weights in decimal form and relate them to the base kilogram unit.

23 tens means 23 × 10 = 230. This is a whole number with no fractional part. It is essential to distinguish between tens and tenths in such questions.

87 ones + 5 tenths + 60 hundredths = 87 + 0.5 + 0.60 = 88.10. The sum of the fractional parts adds 1, increasing the ones digit by one. Decimal addition handles this carry-over automatically.

Comparing each number’s distance from 1, we find 1.01 is only one hundredth greater than 1. All others are farther away. The smallest absolute difference determines the closest decimal.

1 cm = 10 mm, so 1/10 cm = 0.1 cm. It is important to note that 1 mm = 0.1 cm is incorrect. Decimals should reflect correct place value and conversion.