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Estimate the value of each expression. Work in terms of decimals.$$0.24+\frac{1}{3}$$

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0.57

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Chapter 5

Decimals

Section 5

Fractions and Decimals

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Let's add this expression together working on Lian decimals, So we need to convert 1/3 2 decimal form. This means a long division that is, we have one with plenty of zeros afterwards. Divided by three Let's get started. Three doesn't go into one carry up the decimal, but it does go into 10 exactly three times. So three times three is nine 10 minus nine is one, and we carried on a zero making that time 10 is the number the three goes into three times. We put a three at the top three times three is nine subtract, and this is looking very familiar. In fact, this is a repeating decimal. No matter how many times we do this, we're always going to end up with putting more threes on the top. So 0.24 plus 1/3 is equal to 0.24 plus 0.3 repeating. All right, so we can actually add these up. Now that is, we're going to have 0.2 plus. Three is five, four plus three is seven, and then there's still an infinite number of threes after that. Three. Repeating. So the answer to This is 0.573 Repeating on Lee The three repeats here, not the five of the seven.

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