Math

QuestionCompare using >,<>,<, or ==: 77×3636\frac{7}{7} \times 36 \bigcirc 36 without multiplying.

Studdy Solution

STEP 1

Assumptions1. We are comparing two quantities 77×36\frac{7}{7} \times36 and 3636. . We are asked to use the symbols >>, <<, or == to compare these quantities.
3. We are given a hint to try to solve without multiplying.

STEP 2

Let's simplify the left side of the comparison. We know that any number divided by itself equals1, so 77=1\frac{7}{7} =1.
77×36=1×36\frac{7}{7} \times36 =1 \times36

STEP 3

Now, we know that any number multiplied by1 equals the original number, so 1×36=361 \times36 =36.
1×36=361 \times36 =36

STEP 4

So, we have simplified the left side of the comparison to 3636.
363636 \bigcirc36

STEP 5

Now, we can compare the two quantities. Since they are equal, we use the == symbol.
36=3636 =36So, 77×36=36\frac{7}{7} \times36 =36.

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