Grade 8: Unit 1 - Rational Numbers

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2. Match the following: Select the number set that most correctly matches the term.

Integers

Natural

Rational

Whole

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3. Please answer the following question in the space below. What is the decimal equivalent of

5 over 8

to the thousandths place?

The decimal equivalent of a number refers to its value in decimal form. In this case, the given number is 0.625. The number is already in decimal form, so its decimal equivalent is simply 0.625. The comma (,) in the answer options is likely a formatting error or a typo, and does not affect the decimal value of the number.

Explanation

The decimal equivalent of a number refers to its value in decimal form. In this case, the given number is 0.625. The number is already in decimal form, so its decimal equivalent is simply 0.625. The comma (,) in the answer options is likely a formatting error or a typo, and does not affect the decimal value of the number.

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4. What is the fractional equivalent of 0.125?Note: enter your fraction as a/b, where a is the numerator and b is the denominator.

The fractional equivalent of 0.125 is 1/8 because when we convert 0.125 to a fraction, the decimal point is placed after the 5, resulting in 125/1000. Simplifying this fraction gives us 1/8.

Explanation

The fractional equivalent of 0.125 is 1/8 because when we convert 0.125 to a fraction, the decimal point is placed after the 5, resulting in 125/1000. Simplifying this fraction gives us 1/8.

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5. Using the Venn diagram below match the following identifier with the correct name for each number set.

Natural

Whole

Integer

Rational

Real

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6. What is the fractional equivalent of 0.333? Note: Enter your fraction as a/b, where a is the numerator and b is the denominator.

The fractional equivalent of 0.333 is 1/3. This can be determined by dividing 1 by 3, which equals 0.333.

Explanation

The fractional equivalent of 0.333 is 1/3. This can be determined by dividing 1 by 3, which equals 0.333.

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7. Identify all of the rational numbers from those listed below.

7

3.415

The rational numbers are numbers that can be expressed as a fraction of two integers. In this case, both 7 and 3.415 can be expressed as fractions. 7 can be written as 7/1, and 3.415 can be written as 3415/1000, which can be simplified to 683/200. Therefore, both 7 and 3.415 are rational numbers.

Explanation

The rational numbers are numbers that can be expressed as a fraction of two integers. In this case, both 7 and 3.415 can be expressed as fractions. 7 can be written as 7/1, and 3.415 can be written as 3415/1000, which can be simplified to 683/200. Therefore, both 7 and 3.415 are rational numbers.

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