Question
Expressing a number in scientific notation can be represented as the following: numberarrow Ntimes 10^M where Ngeqslant 1ANDNlt 10 where M is an integer For numbers with a magnitude between 0 and 1, the value is M will be __ For numbers with a magnetic of greater than 1, the value of M will be __
Solution
4.5
(320 Votes)
Valeria
Elite ยท Tutor for 8 years
Answer
### For numbers with a magnitude between 0 and 1, the value of M will be negative. For numbers with a magnitude greater than 1, the value of M will be positive.
Explanation
## Step 1: Analyzing Numbers Between 0 and 1### Let's consider a number between 0 and 1, say 0.005. To express this in scientific notation, we move the decimal point to the right until we have a number between 1 and 10. In this case, we move it three places to the right, resulting in
. The exponent is negative because we moved the decimal to the right.## Step 2: Analyzing Numbers Greater than 1### Now consider a number greater than 1, for example, 5000. To express this in scientific notation, we move the decimal point to the left until we have a number between 1 and 10. Here, we move it three places to the left, resulting in
. The exponent is positive because we moved the decimal to the left.