Hakim records a mass of 0.75 kg for a science project. He first multiplies this mass by 1000 to convert it to grams. He then divides the result by 100 to find the mass of one batch in a smaller unit. What is the final answer?
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Worked Solution
Step 1: Multiply 0.75 by 1000.
Multiplying by 1000 moves the decimal point 3 places to the right.
0.75 × 1000 = 750
Step 2: Divide 750 by 100.
Dividing by 100 moves the decimal point 2 places to the left.
750 ÷ 100 = 7.5
Check using net effect:
×1000 then ÷100 = ×(1000 ÷ 100) = ×10
0.75 × 10 = 7.5 ✓
Final answer: 7.5
Answer: 7.5
Correct answer: 7.5
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