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Math

Question Represent the equation 28=7×428 = 7 \times 4 using 2 tape diagrams.

Studdy Solution

STEP 1

Assumptions
1. A tape diagram is a visual model used to represent an equation.
2. The equation to represent is 28=7×428 = 7 \times 4.
3. Each tape diagram must accurately represent the equation.

STEP 2

Understand the components of the equation. The equation 28=7×428 = 7 \times 4 means that 7 groups of 4 equal 28.

STEP 3

Draw the first tape diagram. We will represent the number 28 as a whole, and divide it into 7 equal parts to represent the 7 groups.

STEP 4

Label the whole tape with the number 28 to indicate the total.

STEP 5

Divide the tape into 7 equal sections to represent the 7 groups.

STEP 6

Label each of the 7 sections with the number 4 to indicate that each group has 4 units.

STEP 7

Draw the second tape diagram. This time, we will represent the number 28 as a whole, and divide it into 4 equal parts to represent the 4 groups.

STEP 8

Label the whole tape with the number 28 to indicate the total.

STEP 9

Divide the tape into 4 equal sections to represent the 4 groups.

STEP 10

Label each of the 4 sections with the number 7 to indicate that each group has 7 units.

STEP 11

Both tape diagrams should now visually represent the equation 28=7×428 = 7 \times 4, with one diagram showing 7 groups of 4 and the other showing 4 groups of 7.
The tape diagrams have been drawn to represent the equation 28=7×428 = 7 \times 4.

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