How many times larger is (1.008 × 101) than (6 × 10−1)?
a) 0.168
b) 5.95
c) 11.682
d) 16.8
To determine how many times larger one value is compared to another, we divide the two values.
(1.008 × 10^1) / (6 × 10^-1)
Convert both values to the same power of 10:
(1.008 × 10^1) / (0.6 × 10^0)
Now divide:
1.008 / 0.6 = 1.68
Therefore, (1.008 × 10^1) is 1.68 times larger than (6 × 10^-1).
The correct answer is not listed, as none of the given options are 1.68.
To find out how many times larger one number is than another, you need to divide the larger number by the smaller number.
Let's calculate it step by step:
First, let's simplify the given numbers:
1.008 × 10^1 = 10.08
6 × 10^-1 = 0.6
Now, divide the larger number by the smaller number:
10.08 / 0.6 = 16.8
Therefore, (1.008 × 10) is 16.8 times larger than (6 × 10^-1).
Therefore, the answer is:
Option d) 16.8
To determine how many times larger (1.008 × 10^1) is than (6 × 10^-1), we need to divide the first number by the second number.
Step 1: Divide (1.008 × 10^1) by (6 × 10^-1):
(1.008 × 10^1) / (6 × 10^-1)
Step 2: Simplify each part of the expression:
1.008 / 6 × (10^1 / 10^-1)
Step 3: Simplify the division:
0.168 × 10^(1 - (-1))
Step 4: Simplify the exponent:
0.168 × 10^2
Step 5: Multiply the decimal part:
1.68 × 10^2
So, (1.008 × 10^1) is 1.68 times larger than (6 × 10^-1).
Comparing the options given:
a) 0.168 (This is the value we calculated, so it is incorrect)
b) 5.95
c) 11.682
d) 16.8
The correct option is d) 16.8.