What is the process of breaking a decimal number into its individual place value components called?

Decomposing decimals.

Fill in the blank: To add decimals accurately, you must align the ___ points.

Decimal

True or False: The decimal number 6.075 can be decomposed into 6, 0.07, and 0.005.

True

Fill in the blank: When regrouping decimals, 4.49 can be rearranged to ___ + 0.4 + 0.09.

4

True or False: The Olympic qualifying time of 10.05 seconds is shorter than Usain Bolt's record time of 9.58 seconds.

False: 10.05 seconds is longer than 9.58 seconds.

What are the steps involved in composing a decimal number?

To compose a decimal, you combine its place values.

Fill in the blank: The decimal number 37.844 can be decomposed into ___ + 7 + 0.8 + 0.04 + 0.004.

30

Fill in the blank: To perform subtraction of decimals, you should ___ the decimal points.

Align

True or False: When adding decimals, it is necessary to use trailing zeros for consistency in decimal places.

True

Riddle: I can be used to find the total after spending some money. What am I?

Addition of decimals

What is the result of 65.98 + 32.75?

The result is 98.73.

Fill in the blank: The method used to subtract decimals where you align decimal points and subtract directly is known as the ___ method.

Column

Riddle: I am the operation that gives you the difference when you take away some value from another. What am I?

Subtraction of decimals

If you have 4.49 and 3.09, what is the sum using both the regrouping and column methods?

The sum is 7.58 using both methods.

The result of subtracting 7.58 from 10.00 is ___

2.42