Write the value of 17 tens three different ways. Use the largest unit possible. a. Standard form b. Expanded form c. Unit form . 99
The Correct Answer and Explanation is :
Answer:
a. Standard Form
The value of 17 tens is 170.
b. Expanded Form
The value of 17 tens can be written as 100 + 70.
c. Unit Form
In unit form, 17 tens is written as 1 hundred 7 tens.
Explanation:
Understanding the Value of 17 Tens:
The term “17 tens” means 17 groups of ten. To find the value, we multiply ( 17 \times 10 = 170 ). This calculation shows that the number is in the hundreds range, so we use larger units (hundreds and tens) to express it effectively.
a. Standard Form:
The standard form is simply the numerical representation of the value. Since ( 17 \times 10 = 170 ), the standard form of 17 tens is 170.
b. Expanded Form:
Expanded form breaks a number into its place value components. For 170, the expanded form is ( 100 + 70 ). This means that 170 is composed of one hundred (100) and seventy (70).
c. Unit Form:
Unit form expresses the number in terms of place value units. Instead of saying “170,” we break it into its constituent units: 1 hundred 7 tens. This aligns with the way numbers are constructed in our place value system, where 170 means 1 group of 100 and 7 groups of 10.
Why Use the Largest Unit Possible?
Using the largest unit possible makes numbers more understandable and efficient to express. For example, “1 hundred 7 tens” is clearer and less cumbersome than “17 tens” when describing the value of 170. It highlights the hierarchical structure of our number system, which organizes values by hundreds, tens, and ones.
This practice of representing numbers in different forms helps build a deeper understanding of place value, which is a foundational concept in mathematics.