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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 __

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 __

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

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ValeriaElite · 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.

Explain

## Step 1: Analyzing Numbers Between 0 and 1<br />### 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 $5 \times 10^{-3}$. The exponent is negative because we moved the decimal to the right.<br /><br />## Step 2: Analyzing Numbers Greater than 1<br />### 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 $5 \times 10^3$. The exponent is positive because we moved the decimal to the left.
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