In this Grade 5 enVision Mathematics lesson from Chapter 5, students learn to divide four-digit dividends by two-digit divisors using place value, area models, and place-value blocks. The lesson emphasizes regrouping by place value and recording each step of the division process to find quotients with and without remainders. Students apply these skills to real-world problems such as distributing large quantities equally and calculating equal payments.
Section 1
Solve Division Using an Area Model
To solve a division problem using an area model, the dividend is partitioned into a sum of smaller, convenient numbers. The quotient is the sum of the partial quotients found by dividing each part of the dividend by the divisor.
Section 2
Divide a 4-Digit Number by a 2-Digit Number
To divide a 4-digit number (the dividend) by a 2-digit number (the divisor), you can use place value and partial quotients. The process involves finding how many times the divisor goes into parts of the dividend, starting with the largest place value. The relationship can be expressed as:
This skill involves dividing a number in the thousands by a two-digit number. You can break the problem down by thinking about place value, for example, how many times the divisor fits into the thousands, then the hundreds, and so on. This process often involves regrouping, like trading leftover hundreds for tens. The final answer, or quotient, may also include a remainder if the dividend is not perfectly divisible by the divisor.
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Section 1
Solve Division Using an Area Model
To solve a division problem using an area model, the dividend is partitioned into a sum of smaller, convenient numbers. The quotient is the sum of the partial quotients found by dividing each part of the dividend by the divisor.
Section 2
Divide a 4-Digit Number by a 2-Digit Number
To divide a 4-digit number (the dividend) by a 2-digit number (the divisor), you can use place value and partial quotients. The process involves finding how many times the divisor goes into parts of the dividend, starting with the largest place value. The relationship can be expressed as:
This skill involves dividing a number in the thousands by a two-digit number. You can break the problem down by thinking about place value, for example, how many times the divisor fits into the thousands, then the hundreds, and so on. This process often involves regrouping, like trading leftover hundreds for tens. The final answer, or quotient, may also include a remainder if the dividend is not perfectly divisible by the divisor.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter