Here is a base-ten diagram that represents 1.13. Use the diagram to find 1.13-0.46 Explain how y

step 1 In this question, we are going to use a diagram to subtract decimals. The diagram represents 1 .

Here is a base-ten diagram that represents 1.13. Use the...

Key Concepts

Decimal Subtraction

Decimal subtraction involves aligning numbers according to their decimal points and subtracting corresponding place values. This process may require borrowing (regrouping) when a digit in a particular place of the minuend is smaller than the corresponding digit in the subtrahend. This method ensures that each digit is subtracted correctly according to its specific place value.

Base-Ten Diagrams

Base-ten diagrams are visual representations that use blocks, squares, or other shapes to represent different place values such as ones, tenths, and hundredths. These diagrams help students understand the abstract concept of numbers by breaking them into concrete parts, thereby making it easier to visualize operational processes like addition and subtraction.

Place Value

Place value refers to the value of each digit in a number based on its position relative to the decimal point. In a decimal number, digits to the left of the decimal represent powers of ten (ones, tens, hundreds, etc.), while digits to the right represent fractional parts (tenths, hundredths, thousandths, etc.). Understanding place value is crucial for performing accurate arithmetic operations such as addition and subtraction.

Decimal Number System

The decimal number system is a base-ten arithmetic system that represents numbers using digits 0 through 9. This system is structured so that each place value represents a power of 10, making it fundamental for understanding how numbers are built and manipulated, especially when dealing with fractions of a whole in everyday contexts like money and measurements.

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