Understanding Decimals and Fractions

Arjun and Luna are playing a game with numbers. Arjun says, "I have 45 hundredths in my pocket!" Can you help Luna figure out what decimal number Arjun is talking about?

• 0.45

• 4.5

• 0.045

• 45

Answer explanation

To convert hundredths to a decimal, write 45 as 45/100. This equals 0.45. Therefore, 45 hundredths as a decimal is 0.45, which is the correct choice.

Tags

TEKS.MATH.4.2B

Grace and Elijah are playing a game with numbers. Grace says, "I have a number that's 0.3! Can you tell me what fraction it is?"

Answer explanation

0.3 can be expressed as a fraction by recognizing it as 3 tenths, which is written as \(\frac{3}{10}\). This matches the correct answer choice.

Tags

TEKS.MATH.4.2G

Help Kai solve the mystery! What decimal is represented in the picture?

• 1.0

• 0.01

• 0.1

• 0.001

Answer explanation

The decimal 0.01 represents one hundredth, which is the correct choice. The other options represent different values: 1.0 is one, 0.1 is one tenth, and 0.001 is one thousandth.

Tags

TEKS.MATH.4.2B

Aria and Kai are playing a number guessing game. Aria says, "I am thinking of a number that is the same as two hundred thirty-four thousand, five hundred sixty-seven. The number is (a)   ."

• 234,567
• 234,5670
• 2,345,670
• 23,456,700

Answer explanation

The number two hundred thirty-four thousand, five hundred sixty-seven is written as 234,567 in numerical form. The other options either have extra digits or are incorrectly formatted.

Tags

TEKS.MATH.4.2B

• A

• B

• C

• D

Answer explanation

Model A represents ¼ of the total area shaded, which corresponds to ½ or 0.5. To represent ¼, we need a model that shows 9 out of 10 parts shaded, which is exactly what model A does, thus it represents \frac{9}{10} and 0.9.

Tags

TEKS.MATH.4.2E

Compare the following decimals: 0.4 ____ 0.40

• <

• >

• =

Tags

TEKS.MATH.4.2F

Compare the following decimals: 3.75 (a)   3.57

• <
• >
• =

Tags

TEKS.MATH.4.2F

Imagine you're at a magical fair with Abigail, Aria, and Maya. You come across a mysterious booth that challenges you to read numbers in a fun way. You would read the following decimal 0.56 as (a)  

• Fifty-six
• Fifty-six tenths
• Fifty-six hundredths
• Fifty-six thousandths

Answer explanation

The decimal 0.56 is read as 'fifty-six hundredths' because the digit 6 is in the hundredths place, indicating that it represents 56 out of 100.

Tags

TEKS.MATH.4.2G

Imagine you're at a dessert party with Kai, Benjamin, and Maya. Each of them has a slice of cake with a different amount of frosting. Who has the slice with the most frosting?

• Kai's slice: 0.89

• Benjamin's slice: 0.98

• Maya's slice: 0.79

• Another slice: 0.97

Answer explanation

To determine the largest decimal, compare the values: 0.89, 0.98, 0.79, and 0.97. The highest value is 0.98, making it the largest decimal among the options.

Tags

TEKS.MATH.4.2F

Abigail and Zoe are playing a game on a number line. They need to find the treasure hidden halfway between 0.2 and 0.3. Can you help them by determining the corresponding decimal to the tenths place?

• 0.25

• 0.23

• 0.28

• 0.27

Answer explanation

To find the midpoint between 0.2 and 0.3, calculate (0.2 + 0.3) / 2 = 0.5 / 2 = 0.25. Thus, the corresponding decimal to the tenths place is 0.25.

Tags

TEKS.MATH.4.2H