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Math

Math Snap

PROBLEM

Find two decimals equivalent to (8×100)+(3×110)+(6×1100)(8 \times 100) + \left(3 \times \frac{1}{10}\right) + \left(6 \times \frac{1}{100}\right).

STEP 1

Assumptions1. We are asked to find two decimals equivalent to the given expression.
. The given expression is (8×100)+(3×110)+(6×1100)(8 \times100)+\left(3 \times \frac{1}{10}\right)+\left(6 \times \frac{1}{100}\right).

STEP 2

Let's start by simplifying the given expression. We can do this by performing the multiplications first, according to the order of operations (PEMDAS/BODMAS).
8×100=8008 \times100 =800×110=0. \times \frac{1}{10} =0.6×1100=0.066 \times \frac{1}{100} =0.06

STEP 3

Now, we add these results together to get the decimal.
800+0.3+0.06=800.36800 +0.3 +0.06 =800.36

SOLUTION

The decimal800.36 is equivalent to the given expression. Now, we need to find another decimal that is equivalent to this.One way to do this is to change the place of the decimal point. We can move the decimal point two places to the right to get80036.00. This is still equivalent to800.36, because moving the decimal point to the right does not change the value of the number, it only changes its form.
So, the two decimals that are equivalent to the given expression are800.36 and80036.00.

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