Section 1
Relating Division to Finding a Missing Factor
Property
Solving a division problem, such as , is the same as finding the unknown factor in the related multiplication equation, .
The quotient of the division is the unknown factor.
In this Grade 4 enVision Mathematics lesson from Chapter 5, students learn how to estimate quotients using compatible numbers and multiplication when dividing 3-digit dividends by 1-digit numbers. Students practice replacing difficult numbers with nearby compatible numbers to make mental math easier, such as replacing 700 ÷ 9 with 720 ÷ 9 because 720 is divisible by 9. The lesson builds number sense by applying basic multiplication facts to check whether estimated quotients are reasonable in real-world contexts.
Section 1
Relating Division to Finding a Missing Factor
Solving a division problem, such as , is the same as finding the unknown factor in the related multiplication equation, .
The quotient of the division is the unknown factor.
Section 2
Choosing Compatible Numbers for Estimation
Compatible numbers are numbers that are easy to compute mentally. When estimating quotients, replace the dividend with a nearby number that is a multiple of the divisor, which is often more effective than using standard rounding rules.
Expand to review the lesson summary and core properties.
Section 1
Relating Division to Finding a Missing Factor
Solving a division problem, such as , is the same as finding the unknown factor in the related multiplication equation, .
The quotient of the division is the unknown factor.
Section 2
Choosing Compatible Numbers for Estimation
Compatible numbers are numbers that are easy to compute mentally. When estimating quotients, replace the dividend with a nearby number that is a multiple of the divisor, which is often more effective than using standard rounding rules.