QuestionEstimate the length of a human stride, given it's about $1.44 \mathrm{~m}$ . Choose: (A) $1 \cdot 10^{0} \mathrm{~m}$ or (B) $1 \cdot 10^{1} \mathrm{~m}$ .

Studdy Solution

STEP 1

Assumptions1. The average human stride is $1.44 \mathrm{~m}$ long. We are asked to approximate this length using a power of10

STEP 2

We need to choose the best approximation of $1.44 \mathrm{~m}$ from the given options.(A) $1 \cdot10^{0} \mathrm{~m}$ (B) $1 \cdot10^{1} \mathrm{~m}$

STEP 3

First, let's understand what each option represents.(A) $1 \cdot10^{0} \mathrm{~m}$ is equal to $1 \mathrm{~m}$ because any number raised to the power of0 is1.
(B) $1 \cdot10^{1} \mathrm{~m}$ is equal to $10 \mathrm{~m}$ because any number raised to the power of1 is the number itself.

STEP 4

Now, we need to determine which of these two options is a better approximation of $1.44 \mathrm{~m}$ .

STEP 5

Comparing $1.44 \mathrm{~m}$ with $1 \mathrm{~m}$ and $10 \mathrm{~m}$ , we can see that $1.44 \mathrm{~m}$ is closer to $1 \mathrm{~m}$ than to $10 \mathrm{~m}$ .
So, the best approximation of the length of a human stride is $1 \cdot10^{0} \mathrm{~m}$ .

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