Base 10 Number System definition:

Question

Expanded Form definition:
Place Value definition:

Answer 1

Base 10 Number System:
The base 10 number system, also known as the decimal system, is a numerical system that uses 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) to represent all possible numbers. It is the most commonly used number system worldwide.

Expanded Form:
Expanded form is a way of writing a number as the sum of its place values. In expanded form, each digit of a number is multiplied by its corresponding place value, and then all the products are added together. For example, the number 832 in expanded form is written as 800 + 30 + 2.

Place Value:
Place value refers to the value of a digit within a number based on its position. In the base 10 number system, the place value of a digit is determined by its position relative to the decimal point. For example, in the number 742, the digit 7 is in the hundreds place, the digit 4 is in the tens place, and the digit 2 is in the units place. Place values increase from right to left, with each position being 10 times greater than the one before it.

Answer 2

Write the expanded form with base 10 notation.
825.29

Answer 3

825.29 in expanded form with base 10 notation is:
800 + 20 + 5 + 0.20 + 0.09

Answer 4

Write the expanded form with base 10 notation. Show your work
825.29

Answer 5

To write the expanded form with base 10 notation for 825.29, we will break down the number into its place values.

8 in the hundreds place: 8 x 100 = 800
2 in the tens place: 2 x 10 = 20
5 in the ones place: 5 x 1 = 5
2 in the tenths place: 2 x 0.1 = 0.20
9 in the hundredths place: 9 x 0.01 = 0.09

Therefore, the expanded form with base 10 notation for 825.29 is:

800 + 20 + 5 + 0.20 + 0.09

Answer 6

Write the expanded form with base 10 notation. Show your work
5.3257

Answer 7

To write the expanded form with base 10 notation for 5.3257, we will break down the number into its place values.

5 in the ones place: 5 x 1 = 5
3 in the tenths place: 3 x 0.1 = 0.3
2 in the hundredths place: 2 x 0.01 = 0.02
5 in the thousandths place: 5 x 0.001 = 0.005
7 in the ten-thousandths place: 7 x 0.0001 = 0.0007

Therefore, the expanded form with base 10 notation for 5.3257 is:

5 + 0.3 + 0.02 + 0.005 + 0.0007

Answer 8

Write the expanded form with base 10 notation. Show your work
0.45

Answer 9

To write the expanded form with base 10 notation for 0.45, we will break down the number into its place values.

4 in the tenths place: 4 x 0.1 = 0.4
5 in the hundredths place: 5 x 0.01 = 0.05

Therefore, the expanded form with base 10 notation for 0.45 is:

0.4 + 0.05

Answer 10

Write the expanded form with base 10 notation. Show your work
125.325

Answer 11

To write the expanded form with base 10 notation for 125.325, we will break down the number into its place values.

1 in the hundreds place: 1 x 100 = 100
2 in the tens place: 2 x 10 = 20
5 in the ones place: 5 x 1 = 5
3 in the tenths place: 3 x 0.1 = 0.3
2 in the hundredths place: 2 x 0.01 = 0.02
5 in the thousandths place: 5 x 0.001 = 0.005

Therefore, the expanded form with base 10 notation for 125.325 is:

100 + 20 + 5 + 0.3 + 0.02 + 0.005