Math Revision Sheet:
- Add and Subtract Decimal Numbers: - Line up the decimal points. - Add or subtract the numbers as you would with whole numbers. - Place the decimal point in the answer directly below the decimal points in the given numbers.
Example: 3.25 + 1.8 = 5.05
- Multiplying Decimals: - Multiply the numbers as if they were whole numbers. - Count the total number of decimal places in both numbers. - Place the decimal point in the answer so that it has the same number of decimal places as the total from step 2.
Example: 2.5 x 0.6 = 1.5
- Dividing Decimals: - Move the decimal point in the divisor to the right until it becomes a whole number. - Move the decimal point in the dividend the same number of places to the right. - Divide the numbers as if they were whole numbers. - Place the decimal point in the quotient directly above the decimal point in the dividend.
Example: 4.8 ÷ 0.6 = 8
- BODMAS (Order of Operations): - Perform operations inside parentheses first. - Calculate any exponents or powers. - Perform multiplication and division from left to right. - Perform addition and subtraction from left to right.
Example: 3 + 4 x 2 = 11
- Rounding to 1 or 2 Decimal Places: - Look at the digit to the right of the desired decimal place. - If it is 5 or greater, round up by increasing the digit in the desired decimal place by 1. - If it is less than 5, round down by leaving the digit in the desired decimal place as it is.
Example: 3.456 rounded to 2 decimal places is 3.46
- Significant Figures: - Non-zero digits are always significant. - Zeros between non-zero digits are significant. - Leading zeros (zeros before the first non-zero digit) are not significant. - Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point.
Example: 0.00340 has 3 significant figures
- Reading Decimal Scales: - Identify the smallest division on the scale. - Determine the value of each division based on the scale markings. - Read the number that aligns with the pointer or arrow.
Example: Reading a scale marked in tenths, the pointer aligns with 2.3
- Word Problems: - Read the problem carefully and identify the given information. - Determine the operation(s) needed to solve the problem. - Perform the necessary calculations using the appropriate methods. - Check your answer to ensure it makes sense in the context of the problem.
Example: A store sells a shirt for $25.50 and a pair of pants for $35.75. How much would it cost to buy both items? Solution: Add the prices of the shirt and pants: $25.50 + $35.75 = $61.25
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