A Peek Beyond the Point — Class 7 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 7 Mathematics chapter "A Peek Beyond the Point" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 7 Mathematics chapter "A Peek Beyond the Point" — 8 important questions with detailed answers for CBSE boa…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

Express 3.45 in expanded form using place value.
Compare 0.5 and 0.50. Are they equal?
Arrange in ascending order: 2.05, 2.5, 2.005, 2.50
Convert the fraction 7/20 to a decimal.
Which is greater: 3/8 or 0.35?
Add: 2.15 + 3.7
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
Express 3.45 in expanded form using place value.	✓ Solved
Compare 0.5 and 0.50. Are they equal?	✓ Solved
Arrange in ascending order: 2.05, 2.5, 2.005, 2.50	✓ Solved
Convert the fraction 7/20 to a decimal.	✓ Solved
Which is greater: 3/8 or 0.35?	✓ Solved
Add: 2.15 + 3.7	✓ Solved

Showing 6 of 8 questions

Q1: Express 3.45 in expanded form using place value.

Step 1: Identify each digit and its place value: 3 is in the ones place = 3 × 1 = 3 4 is in the tenths place = 4 × 1/10 = 4 × 0.1 = 0.4 5 is in the hundredths place = 5 × 1/100 = 5 × 0.01 = 0.05 Step 2: Write the expanded form: 3.45 = 3 + 0.4 + 0.05 Or: 3.45 = 3 + 4/10 + 5/100 Answer: 3 + 4 × 0.1 + 5 × 0.01

Q2: Compare 0.5 and 0.50. Are they equal?

Step 1: Write 0.5 in expanded form: 0.5 = 5 × 1/10 = 0.5 Step 2: Write 0.50 in expanded form: 0.50 = 5 × 1/10 + 0 × 1/100 = 0.5 Step 3: Both represent the same value: 0.5 = 0.50 Trailing zeros after the decimal do not change the value. Answer: Yes, 0.5 and 0.50 are equal.

Q3: Arrange in ascending order: 2.05, 2.5, 2.005, 2.50

Step 1: Write all numbers with the same number of decimal places: 2.05 = 2.050 2.5 = 2.500 2.005 = 2.005 2.50 = 2.500 Step 2: Compare the decimal parts: 2.005 < 2.050 < 2.500 = 2.500 Step 3: Arrange in ascending order: 2.005, 2.05, 2.5, 2.50 Or: 2.005, 2.05, 2.5 (since 2.5 = 2.50) Answer: 2.005 < 2.05 < 2.5 = 2.50

Q4: Convert the fraction 7/20 to a decimal.

Step 1: To convert fraction to decimal, divide numerator by denominator: 7 ÷ 20 Step 2: Perform long division: 7.00 ÷ 20 = 0.35 Working: 20 goes into 70 three times (3 × 20 = 60) Remainder: 70 - 60 = 10 Bring down 0: 100 20 goes into 100 five times (5 × 20 = 100) Remainder: 0 Answer: 7/20 = 0.35

Q5: Which is greater: 3/8 or 0.35?

Step 1: Convert 3/8 to decimal: 3 ÷ 8 = 0.375 Working: 3.000 ÷ 8 8 goes into 30 three times (3 × 8 = 24) Remainder: 6, bring down 0 = 60 8 goes into 60 seven times (7 × 8 = 56) Remainder: 4, bring down 0 = 40 8 goes into 40 five times (5 × 8 = 40) Step 2: Compare: 0.375 vs 0.35 0.375 > 0.35 Answer: 3/8 is greater than 0.35

Q6: Add: 2.15 + 3.7

Step 1: Align decimal points and write with same decimal places: 2.15 + 3.70 ------ Step 2: Add column by column from right to left: Hundredths: 5 + 0 = 5 Tenths: 1 + 7 = 8 Ones: 2 + 3 = 5 Step 3: Write the answer: 2.15 + 3.70 ------ 5.85 Answer: 5.85

Showing 6 of 8 questions. Visit the full page for complete solutions.