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1. What is the concept of tens and ones?
Ans. The concept of tens and ones refers to the place value system used to represent numbers. In this system, a number is broken down into two parts - the tens digit and the ones digit. The tens digit represents the number of tens in the number, while the ones digit represents the number of ones. For example, in the number 35, 3 is the tens digit and 5 is the ones digit.
2. How do we represent tens and ones using base-10 blocks?
Ans. Base-10 blocks are a visual representation used to understand the concept of tens and ones. A long, also known as a rod or a ten, represents ten units or ten ones, while a cube or a unit represents one. By using these blocks, we can build numbers by combining rods and cubes. For example, to represent the number 36, we can use three rods (30) and six cubes (6).
3. How do we write numbers in expanded form using tens and ones?
Ans. Writing numbers in expanded form using tens and ones involves breaking down the number into its tens and ones digits and representing them separately. The tens digit is multiplied by 10 and the ones digit remains as it is. For example, the number 52 can be written in expanded form as (5 × 10) + 2, which equals 50 + 2.
4. How can we add numbers using the concept of tens and ones?
Ans. To add numbers using the concept of tens and ones, we start by adding the ones digits and then move on to the tens digits. If the sum of the ones digits is greater than or equal to 10, we carry over the extra ones to the tens place. For example, to add 36 and 28, we add the ones digits (6 + 8 = 14) and carry over 1 to the tens digit. Then, we add the tens digits (3 + 2 + 1 = 6) to get the final sum of 64.
5. How can we subtract numbers using the concept of tens and ones?
Ans. To subtract numbers using the concept of tens and ones, we start by subtracting the ones digits and then move on to the tens digits. If the ones digit of the number being subtracted is greater than the ones digit of the minuend, we borrow 10 from the tens digit and subtract accordingly. For example, to subtract 68 from 93, we subtract the ones digits (3 - 8 = 5) and borrow 10 from the tens digit. Then, we subtract the tens digits (8 - 6 - 1 = 1) to get the final difference of 25.
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