Understanding Decimal Numbers

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Questions and Answers

Which of the following statements accurately describes the initial step in comparing two decimal numbers?

Compare the digits in the thousandths place.
Compare the whole number parts. (correct)
Compare the digits in the hundredths place.
Compare the digits in the tenths place.

When ordering the decimals 2.4, 2.38, 2.04, and 2.3 from least to greatest, which decimal would be second in the ordered sequence?

2.4
2.3 (correct)
2.38
2.04

What is the result of rounding 15.085 to the nearest tenth?

15.0
15.09
15.1 (correct)
15.08

Calculate the difference: 12.4 - 8.65

3.75 (B) Signup and view all the answers

What is the product of 2.4 multiplied by 0.5?

1.2 (D) Signup and view all the answers

What is the result when 0.8 is divided by 0.2?

4 (C) Signup and view all the answers

Which of the following is equivalent to adding zeros to the right of a decimal?

Does not change the value of the decimal. (A) Signup and view all the answers

A store sells apples for $0.75 each. If Sarah buys 4 apples, what is the total cost?

$3.00 (A) Signup and view all the answers

John has a plank of wood that is 3.5 meters long. He needs to cut it into pieces that are 0.5 meters long each. How many pieces can he cut?

7 (A) Signup and view all the answers

Which of the following statements accurately describes the relationship between fractions and decimals?

Decimals are a specific type of fraction where the denominator is always a power of 10. (C) Signup and view all the answers

When converting the fraction $\frac{5}{8}$ to a decimal, which method is most appropriate, and what is the resulting decimal?

Convert to $\frac{625}{1000}$ and express as 0.625 (C) Signup and view all the answers

Which of the following numbers has the digit in the 'hundredths' place with the largest value?

456.789 (B) Signup and view all the answers

How would you correctly read the decimal 15.03 in words, according to standard decimal reading conventions?

Fifteen and three hundredths (D) Signup and view all the answers

Convert the decimal 0.625 into its simplest fractional form.

$\frac{5}{8}$ (D) Signup and view all the answers

Arrange the following decimals in ascending order: 0.25, 0.025, 0.2, 0.0025

0.0025, 0.025, 0.2, 0.25 (C) Signup and view all the answers

If a student measures a length to be 3.45 meters, but the actual length is 3.5 meters, what is the difference between the actual length and the measured length? Express the difference as a decimal.

0.05 meters (D) Signup and view all the answers

Which of the following fractions will result in a repeating decimal when converted?

$\frac{5}{6}$ (D) Signup and view all the answers

Flashcards

What are decimals?

Numbers that represent non-whole values, based on the base-10 system.

How to read decimals?

Read the whole number, say 'and' for the decimal point, then read the digits after the decimal as a whole number, stating the place value of the last digit.

Fraction to decimal

Divide the numerator by the denominator.

Decimal to fraction

Write the decimal digits as the numerator, and use a power of 10 (10, 100, 1000, etc.) as the denominator.