Question 59 of 60intermediate🔍 AnalyzeNumerical3 marks

C: (a) 352 ÷ 11 = 32 (b) 704 ÷ 22 = ___ (c) 704 ÷ 11 = ___ (d) 352 ÷ 22 = ___ (e) 1,408 ÷ 44 = ___

Correct Answer

Pattern: When both dividend and divisor double, the quotient stays the same. When only the dividend doubles, the quotient doubles. When only the divisor doubles, the quotient halves.

(a) 352 ÷ 11: 352 ÷ 11 = 32 ∴ 32

(b) 704 ÷ 22: 704 ÷ 22 = 32 (Both dividend and divisor doubled, quotient stays the same) ∴ 32

(c) 704 ÷ 11: 704 ÷ 11 = 64 (Dividend doubled, quotient doubled) ∴ 64

(d) 352 ÷ 22: 352 ÷ 22 = 16 (Divisor doubled, quotient halved) ∴ 16

(e) 1,408 ÷ 44: 1,408 ÷ 44 = 32 (Both quadrupled from original, quotient stays the same) ∴ 32

Exercise: Let Us Solve | Q: 5C | (Page Page 14)
For More Understanding

Explanation

Using patterns: When both dividend and divisor double (352 to 704, 11 to 22), quotient stays the same (32). When only dividend doubles, quotient doubles. When only divisor doubles, quotient halves.

Solution Steps

  1. Step 1: 352 ÷ 11 = 32

  2. Step 2: 704 ÷ 22 = 32 (both doubled, quotient same)

  3. Step 3: 704 ÷ 11 = 64 (dividend doubled, quotient doubled)

  4. Step 4: 352 ÷ 22 = 16 (divisor doubled, quotient halved)

  5. Step 5: 1,408 ÷ 44 = 32 (both quadrupled from original, quotient same)

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