Author: admin
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Addition of Aligned Decimals
Definition The decimals are aligned so that the digits of same place values are above and below each other. Such decimals are aligned decimals. It is necessary that the decimals are aligned before addition. Addition of aligned decimals is similar to addition of whole numbers.Rules of decimal addition: So, at first the decimals are aligned…
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Addition or Subtraction of Whole Numbers
Word problem 1 (on addition): Yesterday, John had 237 baseball cards. Today he got 105 more. How many cards does John have now? Solution Step 1: Number of baseball cards John had = 237 Number of cards John got more = 105 Step 2: Number of cards John has now = 237 + 105 =…
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Fact Families for Addition and Subtraction
Definition A fact family is a group of math facts using the same numbers. In the case of addition and subtraction, you use three numbers and get four facts. For example, you can form a fact family using the three numbers 3, 10, and 13: 10 + 3 = 13, 3 + 10 = 13,…
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Subtraction and Regrouping with Zeros
Problem 1: Subtract 6804 − 2547 Solution Step 1: Align the numbers vertically. Step 2: Since 4 is less than 7, we need to regroup in the ones place. We cannot borrow from zero, so we need to regroup in tens place as well. We regroup 8 to get 7 in hundreds place and ten…
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Subtracting a Number From a 2-digit Number
Problem 1: Subtract the numbers 17 − 8 Solution Method 1 We subtract the numbers using a number line here. On the number line, start from the larger number 17 and then make 8 jumps to the left to land on 9. This is the difference between 17 and 8. Method 2 Counting backwards We…
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Addition of 2-digit, 3-digit & 4-digit Numbers
Problem 1: Find the sum 3473 + 53 + 682 Solution Step 1: We line up the numbers vertically. Step 2: The digits in ones column are added. 3 + 3 + 2 = 8. So 8 is written below ones column. Step 3: Then the digits in tens column are added. 7 + 5…
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Addition With Carry to the Hundreds Place
Problem 1: Find the sum 562 + 76 Solution Step 1: We line up the numbers vertically. Step 2: We add the digits in ones column. 2 + 6 = 8. 8 is written below ones column. Step 3: Then we add the digits in tens column. 6 + 7 = 13. 3 is written…
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Addition of Two 2-digit Numbers With Carry
Problem 1: Add the numbers 45 + 26 Solution Step 1: We line up the numbers vertically. Step 2: We add digits in ones column. 5 + 6 = 11. 1 is written below ones column and other 1 is carried over to the tens column. Step 3: In the tens column, 4 + 2…
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Adding 2-digit Numbers and Single Digit Numbers
Problem 1: Add the numbers 57 + 8 Solution Step 1: We line up the numbers vertically. Step 2: We add the digits in ones column. 7 + 8 = 15. 5 is written below ones column and 1 is carried over to tens column. Step 3: In tens column, 5 + 1 = 6.…
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Addition of Two 2-digit Numbers Without Carry
Problem 1: Add the numbers 36 + 51 Solution Step 1: Line up the numbers vertically. Step 2: We first add the digits in ones column. 6 + 1= 7. 7 is written below ones column. Step 3: Next we add the digits in tens column. 3 + 5 = 8. 8 is written below…