Question

How can you use partial quotients to find ​630 : 18? Explain.

Answer 1

Partial quotients involve breaking down the division of 630 by 18 into estimated parts by subtracting multiples of 18 from 630 until what's left is less than 18, then summing these parts to get the quotient, which is 35.

Step-by-step explanation:

To use partial quotients for the division of 630 by 18, we start by determining how many times 18 can be subtracted from 630 in parts, until we subtract as much as we can without going negative. Here's the step-by-step process:

1. First, we estimate how many times 18 goes into 630. Let's start by multiplying 18 by 30, which gives us 540. We can subtract this from 630, leaving us with 90 (630 - 540 = 90).
2. Next, we see how many more times we can subtract multiples of 18 from the remaining 90. We find that 18 goes into 90 five times without going over (5 * 18 = 90).
3. We then add the two quotients from our estimations: 30 (from the first estimation) + 5 (from the second), to get a total partial quotient of 35. This means that 630 divided by 18 equals 35.

The partial quotients method helps break down a division problem into smaller, more manageable parts, making it easier to solve without a calculator.