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The value of 0.0016×38000000 is:
8
16
0.8
6
8
Convert decimals and large numbers into powers of 10 or fractions to easily extract roots without complex long division.
0.0016×38000000
a×b=a×b
Convert decimals and large numbers into powers of 10 or fractions to easily extract roots without complex long division.
Confusing square root and cube root or miscounting the number of decimal places when converting decimals to fractions.
Step 1: Simplify the square root term
Express 0.0016 as a fraction: 0.0016=1000016. Taking the square root gives 1000016=1004=0.04.
0.0016=0.04
Step 2: Simplify the cube root term
Express 8000000 as 8×106. Taking the cube root gives 38×106=2×102=200.
38000000=200
Step 3: Multiply the two results
Multiply 0.04 and 200: 0.04×200=8.
0.04×200=8
A is correct because the calculated value of the expression is 8.
Practicing conversion of large numbers and decimals into standard exponential notation simplifies radical and logarithmic calculations significantly in quantitative exams.