Question

1. 139 ÷ 27 ≈ ___ ÷ _ = ___

\\(27\overline{)139}\\)
quotient: _____
remainder: _____
check:
139 = ___ × _ + ___

1. 204 ÷ 48 ≈ ___ ÷ _ = ___

\\(48\overline{)204}\\)
quotient: _____
remainder: _____
check:
204 = ___ × _ + ___

Explanation:

Problem 3

Step1: Estimate the division

To estimate \(139\div27\), we can round \(139\) to \(140\) and \(27\) to \(30\) (or other close numbers, here we use \(140\) and \(30\) for simplicity). So \(139\div27\approx140\div30=\frac{14}{3}\approx5\) (or we can use \(135\div27 = 5\) as a better estimate since \(27\times5 = 135\)). Let's use \(135\) and \(27\) for estimation. So \(139\div27\approx135\div27 = 5\).

Step2: Find the quotient and remainder

When we divide \(139\) by \(27\), we know that \(27\times5=135\), and \(139 - 135 = 4\). So the quotient is \(5\) and the remainder is \(4\).

Step3: Check the division

Using the division formula \(被除数=商\times除数 + 余数\), we have \(139 = 5\times27+4\).

Step1: Estimate the division

To estimate \(204\div48\), we can round \(204\) to \(200\) and \(48\) to \(50\), so \(204\div48\approx200\div50 = 4\). Or we can use \(192\div48=4\) (since \(48\times4 = 192\)) as a better estimate. So \(204\div48\approx192\div48 = 4\).

Step2: Find the quotient and remainder

When we divide \(204\) by \(48\), we know that \(48\times4 = 192\), and \(204-192 = 12\). So the quotient is \(4\) and the remainder is \(12\).

Step3: Check the division

Using the division formula \(被除数 = 商\times除数+余数\), we have \(204=4\times48 + 12\).

Answer:

\(139\div27\approx\boldsymbol{135}\div\boldsymbol{27}=\boldsymbol{5}\) (or \(140\div30\approx5\) as an alternative estimate)
Quotient: \(\boldsymbol{5}\)
Remainder: \(\boldsymbol{4}\)
Check: \(139=\boldsymbol{5}\times\boldsymbol{27}+\boldsymbol{4}\)

Problem 4