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72 Divided by 2

In math algebra, what is 72 divided by 2, and how can the result be verified?

Subject: Math Algebra Chapter: Numbers Topic: PEMDAS Rule Answer included
72 divided by 2 72 ÷ 2 divide 72 by 2 half of 72 quotient division facts fraction form verify division
Accepted answer Answer included

Compute 72 Divided by 2

The expression 72 divided by 2 means the quotient \(72 \div 2\). In math algebra, division can be viewed as splitting a total into equal groups. Dividing by 2 specifically means finding half of the number.

Key idea: \(72 \div 2\) asks, “If 72 is split into 2 equal parts, how many are in each part?”

Step 1: Write the division in fraction form

\[ 72 \div 2 = \frac{72}{2} \]

Step 2: Perform the division

Since dividing by 2 is halving:

\[ \frac{72}{2} = 36 \]

Result: \(\boxed{36}\).

Step 3: Verify by multiplication

A correct quotient \(q\) satisfies \(2 \cdot q = 72\). Using \(q = 36\):

\[ 2 \cdot 36 = 72 \]

Summary table

Form Expression Value
Division \(72 \div 2\) \(36\)
Fraction \(\dfrac{72}{2}\) \(36\)
Check (multiplication) \(2 \cdot 36\) \(72\)

Visualization: Splitting 72 into two equal halves (no overlap)

72 ÷ 2 as two equal groups Division as equal groups: 72 split into 2 equal parts Total 72 ÷ 2 Group 1 36 Group 2 36 Each group has the same size because the split is equal: 72 ÷ 2 = 36. Check: 2 × 36 = 72.
The figure shows 72 partitioned into two equal groups. Each group contains 36, so the quotient is 36.

Final answer

\[ 72 \div 2 = 36 \]

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