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Arithmetic

Course: Arithmetic > Unit 7

Lesson 2: Multi-digit multiplication: place value and area models
Math
Arithmetic
Multiply 1- and 2-digit numbers
Multi-digit multiplication: place value and area models
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Multiply 3- and 4-digits by 1-digit with area models

Google Classroom

Problem

The following area model shows 6×5,432 broken into parts.
The image is not drawn to scale.
An area model using a rectangle of 4 unequal parts, all with a width of 6 but different lengths. From left to right, the parts are labeled A, B, C, and D, and the lengths, also from left to right, are 5000, 400, 30, and 2.
Find the area of each rectangle.
A=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
B=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
C=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
D=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
Find the total area.
6×5,432=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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