Final answer:
To solve 6 divided by 756, simplify the fraction by dividing both the numerator and denominator by 6 to get 1/126. Convert to scientific notation and divide the coefficients and subtract exponents.
Step-by-step explanation:
To solve 6 divided by 756 using place value and properties of operations to perform multi-digit arithmetic, you can follow these steps:
- Write the division in fractional form, which is 6/756.
- Recognize both 6 and 756 are multiples of 6. Divide numerator and denominator by 6 to simplify the fraction: (6/6)/(756/6) = 1/126.
- Now, deal with 1/126. Since 126 has two digits, you can express it as 1.26 × 10² in scientific notation.
- To divide the scientific notation, take the digit terms and divide them and subtract the exponents: 1 ÷ 1.26 = 0.79365, and 0 - 2 = -2, giving us 0.79365 × 10⁻².
- Finally, we round the result to the same number of significant figures as the least precise number we started with. Since 6 has only one significant figure, we round our answer to one significant figure: 0.8 × 10⁻² or 0.008.