How does the fact 36÷6=6 help you estimate the quotient of 364,573÷64?
360,000 / 600 = = 3600/6 = 600
To estimate the quotient of 364,573 divided by 64 using the fact 36 ÷ 6 = 6, we can break down the numbers into smaller parts.
First, we can rewrite 364,573 as 360,000 + 4,000 + 500 + 70 + 3.
Next, we can divide each of these parts individually by 64 and estimate their quotients:
- 360,000 ÷ 64 ≈ 6,000
- 4,000 ÷ 64 ≈ 63
- 500 ÷ 64 ≈ 8
- 70 ÷ 64 is a little more than 1
- 3 ÷ 64 is a very small fraction
Then, we add up these estimates:
6,000 + 63 + 8 + 1 ≈ 6,072
So, the estimated quotient of 364,573 ÷ 64 is approximately 6,072.
In summary, by using the fact 36 ÷ 6 = 6, we can break down the given number into smaller parts and estimate the quotient for each part. By adding these estimates together, we can obtain an approximation for the overall quotient.