Understanding Place Value and Decimals

Five tenths

Five hundredths

A value multiplied by 10

A value divided by 10

Shifting the decimal point to the right or left based on the exponent

The position of a digit after the decimal point showing tenths, hundredths, thousandths, etc.

Writing decimals in words

Writing decimals using digits

13.013

20.73

4.019

0.512

800.208

2.04

42.41

723.6

A step-by-step method for multiplying numbers, involving carrying over digits and aligning place values.

Approximating the result of a division problem by rounding the dividend and divisor to the nearest ten, hundred, or thousand.

A method of dividing where you break down the dividend into smaller chunks and divide each chunk by the divisor, then add the resulting quotients.

A visual model that uses rectangles to represent the dividend and divisor, where the area of the rectangle represents the quotient.

Confirming the accuracy of a division solution by multiplying the quotient by the divisor to ensure the product equals the dividend.

The number being divided in a division problem.

The number that divides the dividend in a division problem.

The result of a division problem.

Numbers that are easy to work with mentally, often using rounding or adjusting for easier calculation.

Identifying decimal addition problems whose sum is less than 5.

Finding the difference between two decimal numbers.

Using rounding to estimate the total weight of luggage to see if it's within a limit.

Approximating a decimal number to the closest whole number.

Using rounding to estimate the total amount of water available to see if it meets a need.

Determining if the total weight obtained by adding rounded values is within a specific limit.

Approximating numbers to the nearest whole number or decimal place to simplify calculations.

Using rounding to check if a calculated answer makes sense in the context of the problem.

Multiplying a decimal by a whole number.

Shifting the decimal point one place to the right when multiplying by 10.

Shifting the decimal point two places to the right when multiplying by 100.

Shifting the decimal point three places to the right when multiplying by 1000.

Shifting the decimal point to the right based on the exponent of 10.

The number of decimal places in the product (answer) of decimal multiplication is equal to the total number of decimal places in the numbers being multiplied.

When multiplying a decimal greater than 1 by a decimal less than 1, the product will be between the two original numbers.

You can check the reasonableness of a decimal division answer by multiplying the quotient (answer) by the divisor (number you divided by). The result should equal the dividend (original number).

An answer can appear reasonable even if it is incorrect. It's crucial to perform the calculation correctly to ensure accuracy.

Dividing by a number in the hundredths (e.g., 0.01, 0.02, 0.03) is equivalent to multiplying by 100.

When dividing a decimal by a whole number, the quotient will be smaller than the dividend. The size of the divisor determines how much smaller the quotient will be.

The decimal point in the quotient (answer) aligns with the decimal point in the dividend (original number).

To check if your division answer is reasonable, compare the magnitude of the dividend and the divisor. Consider if the answer should be larger or smaller than the dividend.