Question 57 of 60intermediate🔍 AnalyzeNumerical3 marks

Find the solutions for part A. Observe the relations between the quotient, divisor and dividend and use it to answer parts B and C. A: (a) 340 ÷ 34 = 10 (b) 340 ÷ 17 = ___ (c) 680 ÷ 17 = ___ (d) 680 ÷ 34 = ___ (e) 170 ÷ 17 = ___ (f) 680 ÷ 68 = ___

Correct Answer

Part A:

(a) 340 ÷ 34 = 10

(b) 340 ÷ 17 = 20

(c) 680 ÷ 17 = 40

(d) 680 ÷ 34 = 20

(e) 170 ÷ 17 = 10

(f) 680 ÷ 68 = 10

Pattern Observations:

  • When the divisor is halved (from 34 to 17), the quotient doubles (from 10 to 20).
  • When the dividend is doubled (from 340 to 680), the quotient doubles.
  • When both dividend and divisor are doubled, the quotient stays the same.
Exercise: Let Us Solve | Q: 5 | (Page Page 14)
For More Understanding

Explanation

When the divisor is halved (from 34 to 17), the quotient doubles (from 10 to 20). When the dividend is doubled (from 340 to 680), the quotient doubles. When both dividend and divisor are doubled, the quotient stays the same.

Solution Steps

  1. Step 1: 340 ÷ 34 = 10

  2. Step 2: 340 ÷ 17 = 20 (divisor halved, quotient doubled)

  3. Step 3: 680 ÷ 17 = 40 (dividend doubled, quotient doubled)

  4. Step 4: 680 ÷ 34 = 20 (dividend doubled from 340)

  5. Step 5: 170 ÷ 17 = 10 (dividend halved from 340)

  6. Step 6: 680 ÷ 68 = 10 (dividend and divisor both doubled from 340 ÷ 34)

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