Select all of the true statements.Multi-select Choices:(A) 7×10−3 is 3.5 times as much as 2×10−4.(B) 4×10−7 is 0.01 times as much as 4×10−5.(C) 9×101 is 3,000 times as much as 3×10−2.(D) 8×104 is 3.50 times as much as 3.51.
Q. Select all of the true statements.Multi-select Choices:(A) 7×10−3 is 3.5 times as much as 2×10−4.(B) 4×10−7 is 0.01 times as much as 4×10−5.(C) 9×101 is 3,000 times as much as 3×10−2.(D) 8×104 is 3.50 times as much as 3.51.
Question Prompt: Question prompt: Determine which of the given statements are true.
Statement (A) Comparison: For statement (A), compare 7×10−3 and 2×10−4. To see if 7×10−3 is 3.5 times 2×10−4, calculate 3.5×2×10−4.3.5×2×10−4=7×10−4.Since 7×10−4 is not equal to 7×10−3, statement (A) is false.
Statement (B) Comparison: For statement (B), compare 4×10−7 and 4×10−5. To see if 4×10−7 is 0.01 times 4×10−5, calculate 0.01×4×10−5.0.01×4×10−5=4×10−7.Since 4×10−7 is equal to 0.01 times 4×10−5, statement (B) is true.
Statement (C) Comparison: For statement (C), compare 9×101 and 3×10−2. To see if 9×101 is 3,000 times 3×10−2, calculate 3,000×3×10−2. 3,000×3×10−2=9×101. Since 9×101 is not equal to 3,000 times 3×10−2, statement (C) is false.
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