Question 23 of 41intermediate🔧 ApplyNumerical3 marks

Write the detailed place value computation for 84.691 – 77.345, and its compact form.

Correct Answer

Step 1: Write in detailed place value form (80 + 4 + 0.6 + 0.09 + 0.001) - (70 + 7 + 0.3 + 0.04 + 0.005)

Step 2: Subtract corresponding places (80 - 70) + (4 - 7) + (0.6 - 0.3) + (0.09 - 0.04) + (0.001 - 0.005)

Step 3: Handle borrowing 10 + (-3) + 0.3 + 0.05 + (-0.004)

Answer: 7.346

Compact Form: 84.691 - 77.345 = 7.346

Exercise: 3.7 Addition and Subtraction of Decimals | Q: 21 | (Page Page 29)
For More Understanding

Explanation

Align decimal points and subtract place by place. Borrow when necessary. The detailed form shows each place value subtraction separately.

Solution Steps

  1. Write in detailed place value form: (80 + 4 + 0.6 + 0.09 + 0.001) - (70 + 7 + 0.3 + 0.04 + 0.005)

  2. Subtract corresponding places: (80 - 70) + (4 - 7) + (0.6 - 0.3) + (0.09 - 0.04) + (0.001 - 0.005)

  3. Handle borrowing: 10 + (-3) + 0.3 + 0.05 + (-0.004)

  4. Calculate result: 7.346

  5. Compact form: 84.691 - 77.345 = 7.346

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