Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all of the true statements.\newlineMulti-select Choices:\newline(A) 4×1064 \times 10^{-6} is 0.020.02 times as much as 2×1042 \times 10^{-4}.\newline(B) 6×1036 \times 10^{-3} is 150150 times as much as 4×1054 \times 10^{-5}.\newline(C) 4×1054 \times 10^{5} is 8080 times as much as 5×1045 \times 10^{4}.\newline(D) 9×1049 \times 10^{-4} is 0.020.0200 times as much as 0.020.0211.

Full solution

Q. Select all of the true statements.\newlineMulti-select Choices:\newline(A) 4×1064 \times 10^{-6} is 0.020.02 times as much as 2×1042 \times 10^{-4}.\newline(B) 6×1036 \times 10^{-3} is 150150 times as much as 4×1054 \times 10^{-5}.\newline(C) 4×1054 \times 10^{5} is 8080 times as much as 5×1045 \times 10^{4}.\newline(D) 9×1049 \times 10^{-4} is 0.020.0200 times as much as 0.020.0211.
  1. Compare and Calculate Choice (A): For choice (A), compare 4×1064 \times 10^{-6} to 2×1042 \times 10^{-4}. Calculate 0.020.02 times 2×1042 \times 10^{-4}. 0.02×2×104=0.04×104=4×1060.02 \times 2 \times 10^{-4} = 0.04 \times 10^{-4} = 4 \times 10^{-6}. Check if 4×1064 \times 10^{-6} equals 4×1064 \times 10^{-6}.
  2. Compare and Calculate Choice (B): For choice (B), compare 6×1036 \times 10^{-3} to 4×1054 \times 10^{-5}. Calculate 150×4×105150 \times 4 \times 10^{-5}. 150×4×105=600×105=6×103150 \times 4 \times 10^{-5} = 600 \times 10^{-5} = 6 \times 10^{-3}. Check if 6×1036 \times 10^{-3} equals 6×1036 \times 10^{-3}.
  3. Compare and Calculate Choice (C): For choice (C), compare 4×1054 \times 10^5 to 5×1045 \times 10^4. Calculate 80×5×10480 \times 5 \times 10^4. 80×5×104=400×104=4×10580 \times 5 \times 10^4 = 400 \times 10^4 = 4 \times 10^5. Check if 4×1054 \times 10^5 equals 4×1054 \times 10^5.
  4. Compare and Calculate Choice (D): For choice (D), compare 9×1049 \times 10^{-4} to 9×1029 \times 10^{-2}. Calculate 0.001×9×1020.001 \times 9 \times 10^{-2}. 0.001×9×102=0.009×102=9×1050.001 \times 9 \times 10^{-2} = 0.009 \times 10^{-2} = 9 \times 10^{-5}. Check if 9×1049 \times 10^{-4} equals 9×1059 \times 10^{-5}.

More problems from Multiply and divide rational expressions