Mathematical Problem Solving Skills

Front

What is standard form in mathematics?

Back

Standard form is a way of writing numbers using digits, where the number is expressed as a whole number followed by a decimal point and digits. For example, 9,342,268 is in standard form.

Front

How do you convert a number from expanded notation to standard form?

Back

To convert from expanded notation to standard form, you add together all the values represented in the expanded form. For example, (1 x 1,000) + (5 x 100) + (9 x 1) + (7 x 0.1) + (4 x 0.01) equals 1,509.74.

Front

What does the digit in the tens place represent in relation to the hundreds place?

Back

The digit in the tens place represents 1/10 of the value of the digit in the hundreds place. For example, in the number 9,443, the 4 in the tens place is 1/10 of the 4 in the hundreds place.

Front

How do you find the total of multiple numbers?

Back

To find the total of multiple numbers, you add them together. For example, if you plant 521 trees in the first year, 387 in the second year, and 438 in the third year, the total is 521 + 387 + 438 = 1,346.

Front

What is the value of 4 in the number 4,567?

Back

The value of 4 in the number 4,567 is 4,000 because it is in the thousands place.

Front

What is the decimal representation of 1.2?

Back

The decimal representation of 1.2 is simply 1.2, which means one whole and two tenths.

Front

How do you determine how many more are needed to reach a goal?

Back

To determine how many more are needed to reach a goal, subtract the current total from the goal. For example, if the goal is 2,000 trees and you have planted 1,346, you need 2,000 - 1,346 = 654 more trees.

Front

What is expanded notation?

Back

Expanded notation is a way of writing numbers that shows the value of each digit. For example, 1,234 can be written as (1 x 1,000) + (2 x 100) + (3 x 10) + (4 x 1).

Front

What does the term 'place value' mean?

Back

Place value refers to the value of a digit based on its position in a number. For example, in the number 5,678, the 5 is in the thousands place, so its value is 5,000.

Front

How do you express a number in scientific notation?

Back

To express a number in scientific notation, write it as a product of a number between 1 and 10 and a power of 10. For example, 9,342,268 can be written as 9.342268 x 10^6.