count the significant digits in each of these measurements:\nmeasurement number of significant digits\n- 9.0…

count the significant digits in each of these measurements:\nmeasurement number of significant digits\n- 9.0 × 10⁻¹ kj/mol\n7500. kg\n0.00900 j\n1.4 × 10⁻¹ ml
Answer
Explanation:
Step1: Recall significant - digit rules
Non - zero digits are always significant. Zeros between non - zero digits are significant. Leading zeros (zeros before non - zero digits) are not significant. Trailing zeros in a number with a decimal point are significant.
Step2: Analyze $-9.0\times10^{-1}\text{ kJ/mol}$
The non - zero digit 9 and the zero after it (since there is a decimal point) are significant. So, there are 2 significant digits.
Step3: Analyze $7500.\text{ kg}$
The non - zero digits 7 and 5 are significant, and the two trailing zeros are significant because there is a decimal point. So, there are 4 significant digits.
Step4: Analyze $0.00900\text{ J}$
The leading zeros are not significant. The non - zero digit 9 and the two trailing zeros (because of the decimal point) are significant. So, there are 3 significant digits.
Step5: Analyze $1.4\times10^{-1}\text{ mL}$
The non - zero digits 1 and 4 are significant. So, there are 2 significant digits.
Answer:
- $-9.0\times10^{-1}\text{ kJ/mol}$: 2
- $7500.\text{ kg}$: 4
- $0.00900\text{ J}$: 3
- $1.4\times10^{-1}\text{ mL}$: 2