Question

What fraction and decimal are represented by this base-ten block model, where the large cube represents one whole? Select Multiple Answers A 1233 -------- 1000 B 1.233 C 1233 D one and two hundred thirty-three thousandths I need answer fast please

Answer 1

The base-ten block model showing 1233 represents the fraction 1233/1000 and the decimal 1.233, both of which translate to 'one and two hundred thirty-three thousandths'.

Step-by-step explanation:

The question involves understanding how to express quantities in base-ten block model formats as fractions and decimals. In base-ten, the large cube represents one whole, or 1 x 10³, which is equal to 1000. When a number is broken down into cubes, flats, rods, and units, each has a specific place value representing parts of the whole. To convert the given base-ten block model into both a fraction and a decimal, we can understand that:

- 1233 representing a thousand (1 x 10³), two hundreds (2 x 10²), three tens (3 x 10¹), and three units (3 x 10°).

- This can be expressed as the decimal 1.233, where the 1 is before the decimal point representing the thousand, and the numbers after the decimal represent the parts of the thousand: 2 hundreds (0.2), 3 tens (0.03), and 3 units (0.003).

- The equivalent fraction is 1233/1000, which literally means 1233 parts out of 1000.

- As a word representation, this is one and two hundred thirty-three thousandths.

Therefore, the correct choices would be a fraction written as 1233/1000 and as a decimal written as 1.233, and verbally expressed as one and two hundred thirty-three thousandths.

Answer 2

The fraction represented by the model is 1233/1000, and the decimal is 1.233, both of which denote one and two hundred thirty-three thousandths.

Step-by-step explanation:

The fraction and decimal represented by the base-ten block model, where the large cube represents one whole, are one and two hundred thirty-three thousandths and 1.233, respectively. When you connect to the concept of integer powers, you see that 10³ represents 1000, which is the 'whole' in this question. Dividing 1233 by 1000 gives us the decimal 1.233, similarly, when written as a fraction, it is 1233 over 1000, or 1233/1000.

To summarize the process of conversion, if we multiply or divide a number by powers of ten, we shift the decimal point accordingly. Therefore, 1233 divided by 10³ (or 1000) yields the decimal 1.233. Additionally, this as a fraction is simply 1233/1000, which also represents the same value of one and two hundred thirty-three thousandths.