Final answer:
The 4 in 42 is in the tens place, having a value of 40, while the 4 in 14 is in the ones place, having a value of 4. To find the relationship between the place values, divide 40 by 4 to get 10. Hence, the value of the 4 in 42 is 10 times the value of the 4 in 14.
Step-by-step explanation:
To determine what number goes in the blank to complete the following statement: The value of the 4 in 42 is ___ times the value of the 4 in 14, we need to understand the place value of each digit in the numbers given. In the number 42, the digit 4 is in the tens place, which means it has a value of 40 (4 tens or 4 x 10). In the number 14, the digit 4 is in the ones place and has a value of 4 (4 ones or 4 x 1).
Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.
To compare the value of 4 in each number, we divide the value of 4 in 42 by the value of 4 in 14: 40 ÷ 4 = 10. Therefore, the value of the 4 in 42 is 10 times the value of the 4 in 14.