Test: The Number System - Year 6 MCQ

Dividing 0.005 by 10 results in 0.0005. Dividing a decimal shifts the decimal point one place to the left, which is an important concept in dealing with small measurements or financial calculations.

Rounding 7.84 to the nearest whole number gives 8 because the tenths digit (8) is greater than 5, which means we round up. Rounding is commonly used in everyday situations, like estimating time or costs.

The decomposition of 45.672 into its place value components is 40 + 5 + 0.6 + 0.07 + 0.002. This breakdown helps in understanding how each digit contributes to the overall value of the number, which is useful for performing calculations and estimations.

Rounding 55.67 to the nearest whole number gives 56 because the tenths digit (6) is greater than 5, prompting a round up. This skill is valuable for quick estimations in everyday life.

Multiplying 3.75 by 100 results in 375, as the decimal point moves two places to the right. Mastering multiplication and division with decimals is crucial for various real-life applications, including budgeting and shopping.

Dividing 9.8 by 10 results in 0.98, as the decimal point moves one place to the left. This operation is commonly used in scaling measurements and adjusting values in various practical applications.

Dividing 240 by 10 results in 24. This division shifts the decimal point one place to the left. Understanding this concept is vital for scaling measurements in recipes or adjusting values in financial documents.

When multiplying a decimal number by 10, the decimal point moves one place to the right, effectively increasing the number. For example, multiplying 2.5 by 10 results in 25. This concept is important in calculations involving money and measurements.

When a number is multiplied by 1000, the digits move left, or the decimal point moves right by three places. This transformation is crucial in contexts like scientific notation and large number calculations.

The regrouping of the decimal number 0.205 can be expressed as 0.2 + 0.005. Regrouping helps simplify numbers for easier computations and is often used in financial calculations and measurements.

In the number 12.345, the digit in the hundredths place is 4, which represents 0.04. Understanding this aspect of place value is vital in contexts such as financial statements and scientific data.

In the number 5,672.39, the digit 6 is in the hundreds place, which means it represents 600. Understanding the place value system is crucial for interpreting numbers correctly in various contexts, such as finance and data analysis.

Adding 0.3 and 0.07 results in 0.37. This addition demonstrates the importance of aligning decimal places to ensure accurate calculations, which is crucial in tasks like budgeting or measuring.

Rounding 6.5 to the nearest whole number results in 7, as the tenths digit is 5, which rounds up. This technique is useful in scenarios where approximate values are required, such as estimating expenses or time.

Regrouping the number 0.84 can be expressed as 0.8 + 0.04. This technique is helpful in calculations where simplifying numbers makes operations easier, such as in mental math or estimation.

Answer:
c) 10.1

Explanation:

• 10.1 rounds to 10 because it is closer to 10 than to 11.

Other Options

• 10.54 rounds up to 11 (because .5 and above is rounded up).

• 9.4 rounds to 9 (because it is less than 9.5).

• 10.6 also rounds up to 11.

So, only 10.1 rounds to 10.

Rounding 5.235 to the nearest tenth results in 5.2, as the hundredths digit (3) is less than 5, prompting a round down. Rounding is an essential skill in data analysis, where precision is often balanced with clarity.

The digit 4 in the number 1,243.567 is in the tens place, so it represents 40. 

In the number 3,456.789, the digit 9 is in the thousandths place, representing 0.009. Recognizing the position of digits within larger numbers is essential for accurate calculations in everyday scenarios such as budgeting or scientific measurements.

In the number 0.456, the digit in the tenths place is 4, representing 0.4. Recognizing place values in decimal numbers is essential for accurate measurements and calculations in scientific contexts.