Newton Reid
04/16/2023 · Elementary School
Choose the most precise measurement in each set. \( \begin{array}{ll}\text { 1. } 7.0 \mathrm{~cm} ; 700 \mathrm{~cm} ; 7000 \mathrm{~cm} & \text { 2. } 30 \mathrm{~cm} ; 30 \mathrm{~m} ; 32 \mathrm{n}\end{array} \)
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Step-by-step Solution
To determine the most precise measurement in each set, we need to look at the number of significant figures in each measurement.
1. **Set 1: \( 7.0 \mathrm{~cm} ; 700 \mathrm{~cm} ; 7000 \mathrm{~cm} \)**
- \( 7.0 \mathrm{~cm} \) has **2 significant figures** (the zero after the decimal point counts).
- \( 700 \mathrm{~cm} \) has **1 significant figure** (unless specified otherwise, trailing zeros without a decimal point are not counted).
- \( 7000 \mathrm{~cm} \) also has **1 significant figure** (for the same reason as above).
The most precise measurement in this set is **\( 7.0 \mathrm{~cm} \)**.
2. **Set 2: \( 30 \mathrm{~cm} ; 30 \mathrm{~m} ; 32 \mathrm{n} \)**
- \( 30 \mathrm{~cm} \) has **1 significant figure** (unless specified otherwise, trailing zeros without a decimal point are not counted).
- \( 30 \mathrm{~m} \) also has **1 significant figure** (for the same reason as above).
- \( 32 \mathrm{n} \) has **2 significant figures**.
The most precise measurement in this set is **\( 32 \mathrm{n} \)**.
In summary:
1. The most precise measurement is **\( 7.0 \mathrm{~cm} \)**.
2. The most precise measurement is **\( 32 \mathrm{n} \)**.
Quick Answer
1. The most precise measurement is \( 7.0 \mathrm{~cm} \).
2. The most precise measurement is \( 32 \mathrm{n} \).
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