Decimal Number Basics Quiz

In the decimal number 3.47, the tenths place is the first digit to the right of the decimal point. In this case, the digit in the tenths place is 4, which represents four-tenths or 0.4 of the whole number.

The fraction 1/10 represents one part of ten equal parts, which can be expressed as a decimal. Dividing 1 by 10 yields 0.1, indicating that 0.1 is the decimal equivalent of the fraction 1/10. Other options do not represent this value accurately.

Five and three tenths is expressed in decimal form by placing the whole number five before the decimal point and three tenths after it. This means that there are five whole units and three tenths of an additional unit, which is represented as 5.3.

2.5 is larger than 2.05 because when comparing decimal numbers, the whole number part is considered first. Here, 2.5 has a whole number of 2, which is the same as 2.05, but the decimal part (5 vs. 05) shows that 2.5 is greater. Thus, 2.5 is the larger number.

Adding 0.6 and 0.3 involves simple decimal addition. Aligning the numbers, 0.6 plus 0.3 equals 0.9. This calculation can also be visualized as combining six-tenths and three-tenths, resulting in nine-tenths, which is represented as 0.9 in decimal form.

In the number 8.92, the digit 9 is in the tenths place, which signifies that it represents 9 tenths. This means it contributes 0.9 to the overall value of the number, indicating that there are 9 parts out of 10 in the decimal system.

To order the decimals from smallest to largest, compare their values. 1.02 is less than 1.2 and 1.20, as the first two digits are smaller. Both 1.2 and 1.20 represent the same value, but 1.20 is written with an extra zero, making it larger in terms of decimal places. Thus, the correct order is 1.02, 1.2, 1.20.

To solve 1.5 − 0.7, you subtract 0.7 from 1.5. When you perform the subtraction, you find that 1.5 minus 0.7 equals 0.8. This calculation shows the difference between the two numbers, confirming that 0.8 is the correct result.

0.25 can be expressed as a fraction by recognizing that it represents 25 hundredths, or 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 yields 1/4. Thus, 0.25 is equivalent to the fraction 1/4.

To find how many hundredths are in 0.45, recognize that 0.45 is equivalent to 45 hundredths. This is because the decimal 0.45 can be expressed as 45/100, indicating that there are 45 parts out of 100, thus confirming that there are 45 hundredths in 0.45.

To find the product of 2.3 and 2, you multiply the two numbers together. Calculating 2.3 × 2 gives 4.6, which is the result of doubling 2.3. Thus, the answer is 4.6.

0.6 is a decimal that lies directly between 0.5 and 0.7 on the number line. It is greater than 0.5 and less than 0.7, making it the only option that fits within this specified range. The other options (0.4, 0.8, and 0.3) do not fall between these two values.