Number Relationships

4th Grade Math Resources for families

Represent the value of the digit in whole numbers through 1,000,000,000 using expanded notation and numerals

Compare and order whole numbers to 1,000,000,000

Represent comparisons using the symbols >, <, or =

Round whole numbers to a given place value through the hundred thousands place

Represent decimals, including tenths and hundredths, using concrete models, visual models, number lines, money, expanded notation, and numerals

Compare and order decimals using concrete and visual models to the hundredths

The more you talk about numbers through one billion, the easier it will be for your child to understand the values of these numbers. Be on the lookout for multi-digit numbers in the newspaper, in magazines, or on television. Point out these numbers, and practice reading them with your child. Talk about how to use place value to compare numbers. For example, show how 3,892,013 is greater than 3,650,099. While both have the same number of millions, the first number has more hundred thousands.

Expanded Notation: Shown as a sum of the digit multiplied by its place value.

How-To Video: Expanded Notation

Represent in Word Form

Represent Decimals on a Number Line

Decimal Representations- Tenths

Decimal Representations- Hundredths

Represent with Money

Write each of the digits from 0 to 9 on a separate piece of paper. Draw 2 pieces of paper and have your child use the 3 digits to write the least possible decimal number. For example, the least possible decimal number using the digits 9 and 5 is 0.59. Have your student identify the place of each digit in the decimal number (5 in the tenths and 9 in the hundredths).
Using the same pieces of paper, have your child draw 5 pairs of papers to create 5 separate decimal numbers. Then have him/her put them in order from least to greatest, or greatest to least.

Compare Whole Numbers

Compare Decimals

Order Decimals

Talk to your child about times that you use rounding, such as estimating how many grocery items you can buy with a $20 bill or how many errands you can get done in 60 minutes. Explain your thinking. Have a discussion about times when it makes sense to round and times when it is important to find an exact answer.

Rounding How-To Video

Rounding Whole Numbers Game