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NCERT Solutions for Class 4th Maths Chapter 9 Solve, and true-or-false statements — Let Us Solve

Book page 148 Updated on2026-09-19

Q1.
Solve a) 45 × 9 b) 507 × 7 c) 94 ÷ 4 d) 778 ÷ 6 e) 94 × 5 f) 396 × 4 g) 83 ÷ 3 h) 635 ÷ 5
Answer
ProblemWorkingAnswer
a) 45 × 9(40 × 9) + (5 × 9) = 360 + 45405
b) 507 × 7(500 × 7) + (7 × 7) = 3500 + 493549
c) 94 ÷ 420 fours = 80, 3 fours = 12, 2 left23 and 2 left over
d) 778 ÷ 6100 sixes = 600, 29 sixes = 174, 4 left129 and 4 left over
e) 94 × 5(90 × 5) + (4 × 5) = 450 + 20470
f) 396 × 4(300 × 4) + (90 × 4) + (6 × 4) = 1200 + 360 + 241584
g) 83 ÷ 320 threes = 60, 7 threes = 21, 2 left27 and 2 left over
h) 635 ÷ 5100 fives = 500, 27 fives = 135, 0 left127

Split into tens and hundreds for multiplying, and take away easy groups for dividing.

Checks:
405 ÷ 9 = 45  23 × 4 + 2 = 94  129 × 6 + 4 = 778
27 × 3 + 2 = 83  127 × 5 = 635
Tip: For (e), 94 × 5 is half of 94 × 10. 940 ÷ 2 = 470.
Q2.
In mathematics, some statements are always true, some are sometimes true, and some are never true. Tick (√) in the appropriate column. a) Multiplying by 10 gives 0 in the ones digit of the number. b) Multiplying a number by 2 gives an odd number. c) Multiplying a number by 5 gives a number with 5 in the ones digit. d) The number immediately after an odd number is an even number. e) Halving any number gives an even number. f) Adding 0 to a number increases the number by 1.
Answer
StatementAlways TrueNever TrueSometimes True
a) Multiplying by 10 gives 0 in the ones digit of the number.✓
b) Multiplying a number by 2 gives an odd number.✓
c) Multiplying a number by 5 gives a number with 5 in the ones digit.✓
d) The number immediately after an odd number is an even number.✓
e) Halving any number gives an even number.✓
f) Adding 0 to a number increases the number by 1.✓

The completed table.

  • a) 7 × 10 = 70, 23 × 10 = 230. Ten-times always puts a 0 in the ones place.
  • b) Doubling always makes two equal groups, so the answer is always even.
  • c) 5 × 1 = 5 but 5 × 2 = 10. Sometimes the ones digit is 5, sometimes 0.
  • d) Odd and even take turns: 7 → 8, 13 → 14. Always true.
  • e) Half of 8 is 4 (even) but half of 6 is 3 (odd). Sometimes true.
  • f) 25 + 0 = 25. Adding 0 changes nothing, so it never increases the number by 1.
Why it happens: “Always true” needs the statement to work for every number. One number that breaks it is enough to move it to “sometimes true” or “never true”.
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