In the number 964, the digit 4 is located in the ones place. Therefore, its value is 4. It signifies four single units. Place value dictates that the position of a digit within a number determines its contribution to the overall quantity, which is crucial for number sense and mathematical operations like addition and subtraction.

In the number 412, the digit 4 resides in the hundreds place. This means its value is 400. It represents four groups of one hundred. Grasping this concept is essential for understanding larger numbers and for performing multi-digit arithmetic, forming a cornerstone of numerical literacy and mathematical proficiency.

In the number 5,487, the digit 4 is positioned in the hundreds place. Consequently, its value is 400. It signifies four hundreds. Recognizing the value of digits based on their position is a key skill for number comprehension and for successfully executing mathematical operations involving larger numbers, enhancing overall numerical fluency.

In the number 1,234, the digit 4 occupies the ones place. This means its value is 4. It represents four single units. Understanding place value is fundamental for correctly interpreting numbers and for performing basic arithmetic operations. It's a foundational concept that supports more complex mathematical learning and problem-solving abilities.

In the number 4,000, the digit 4 is in the thousands place. Therefore, its value is 4,000. It signifies four groups of one thousand. This understanding is crucial for working with large numbers, comprehending financial figures, and performing advanced mathematical calculations, making it a vital component of numerical understanding.

In the number 34,567, the digit 4 is located in the thousands place. This means its value is 4,000. It represents four thousands. Mastering place value is essential for reading and writing large numbers, comparing quantities, and performing complex arithmetic operations, which are all critical for mathematical development.

In the decimal number 7.4, the digit 4 is in the tenths place. Consequently, its value is 0.4, or four tenths. It signifies four parts of a whole divided into ten equal sections. Understanding decimal place value is vital for working with fractions, measurements, and money, expanding numerical comprehension beyond whole numbers.

In the decimal number 0.4, the digit 4 is in the hundredths place. This means its value is 0.4, or four hundredths. It represents four parts of a whole divided into one hundred equal sections. This knowledge is crucial for precision in calculations and for understanding scientific notation and various forms of data.

In the number 40, the digit 4 is in the tens place. Therefore, its value is 40. It signifies four groups of ten. This fundamental understanding of place value is key to building a strong foundation in arithmetic, enabling students to perform addition, subtraction, multiplication, and division with greater ease and accuracy.