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Round Decimals

Grade 5 · Decimals · Worksheet 1

  1. A rectangular prism has a length of 6.25 cm, a width of 4.8 cm, and a height of 3.5 cm. What is the volume of this prism?
    Answer: ______________
  2. Maria is tracking the growth of her sunflower plant for a science project. After 3 weeks, her plant has grown to 4.762 centimeters tall. She needs to record this measurement rounded to the nearest hundredth of a centimeter in her project journal. What height should Maria write down? Answer: ______________
  3. Emma is tracking the growth of her sunflower plant for a science project. After 2 weeks, her plant measures 3.647 meters tall. She needs to record this height rounded to the nearest hundredth of a meter in her project journal. What height should Emma write down? Answer: ______________
  4. Mere is baking cookies for a school fundraiser. Her digital kitchen scale shows that a bag of flour weighs 3.718 kilograms. The recipe calls for the flour to be measured to the nearest tenth of a kilogram. What weight should Mere record for the flour? Answer: ______________
  5. round(9.847, 1) = ? Answer: ______________
  6. Mere is measuring the weight of her pumpkin for the school's annual pumpkin-growing contest. Her pumpkin weighs 5.628 kilograms. The contest rules require all weights to be reported rounded to the nearest tenth of a kilogram. What weight should Mere report for her pumpkin? Answer: ______________
  7. Round 8.357 to the nearest hundredth. Answer: ______________
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Answer Key & Explanations

Round Decimals · Grade 5 · Worksheet 1

  1. A rectangular prism has a length of 6.25 cm, a width of 4.8 cm, and a height of 3.5 cm. What is the volume of this prism? Answer: 105 Solution: V = length × width × height Write down the given dimensions. Length = 6.25 cm Width = 4.8 cm Height = 3.5 cm Multiply the length and width first.
    Full step-by-step solution

    Step 1: Understand the formula for the volume of a rectangular prism. The volume V is given by: V = length × width × height Step 2: Write down the given dimensions. Length = 6.25 cm Width = 4.8 cm Height = 3.5 cm Step 3: Multiply the length and width first. 6.25 × 4.8 First, multiply 6.25 × 4: 6.25 × 4 = 25.00 Then multiply 6.25 × 0.8: 6.25 × 0.8 = 5.00 Add the two results: 25.00 + 5.00 = 30.00 So, 6.25 × 4.8 = 30.00 Step 4: Multiply the result by the height. 30.00 × 3.5 First, multiply 30 × 3 = 90 Then multiply 30 × 0.5 = 15 Add: 90 + 15 = 105 Step 5: State the final answer with units. The volume is 105 cubic centimeters. Answer: 105

  2. Maria is tracking the growth of her sunflower plant for a science project. After 3 weeks, her plant has grown to 4.762 centimeters tall. She needs to record this measurement rounded to the nearest hundredth of a centimeter in her project journal. What height should Maria write down? Answer: 4.76 Solution: Identify the hundredths place in 4.762. The hundredths place is the second digit after the decimal point, which is 6. Look at the digit immediately to the right of the hundredths place, which is the thousandths place.
    Full step-by-step solution

    Step 1: Identify the hundredths place in 4.762. The hundredths place is the second digit after the decimal point, which is 6. Step 2: Look at the digit immediately to the right of the hundredths place, which is the thousandths place. In 4.762, the thousandths digit is 2. Step 3: Since 2 is less than 5, we keep the hundredths digit the same and drop all digits to the right. Step 4: 4.762 rounded to the nearest hundredth is 4.76. The answer is 4.76.

  3. Emma is tracking the growth of her sunflower plant for a science project. After 2 weeks, her plant measures 3.647 meters tall. She needs to record this height rounded to the nearest hundredth of a meter in her project journal. What height should Emma write down? Answer: 3.65 Solution: Identify the hundredths place in 3.647. The digits are: 3 (ones), 6 (tenths), 4 (hundredths), 7 (thousandths). Look at the digit to the right of the hundredths place, which is 7 in the thousandths place.
    Full step-by-step solution

    Step 1: Identify the hundredths place in 3.647. The digits are: 3 (ones), 6 (tenths), 4 (hundredths), 7 (thousandths). Step 2: Look at the digit to the right of the hundredths place, which is 7 in the thousandths place. Step 3: Since 7 is 5 or greater, we round the hundredths place digit (4) up by 1. Step 4: 4 becomes 5, so 3.647 rounded to the nearest hundredth is 3.65. The answer is 3.65.

  4. Mere is baking cookies for a school fundraiser. Her digital kitchen scale shows that a bag of flour weighs 3.718 kilograms. The recipe calls for the flour to be measured to the nearest tenth of a kilogram. What weight should Mere record for the flour? Answer: 3.7 Solution: Identify the tenths place in 3.718. The tenths place is the first digit after the decimal point, which is 7. Look at the digit to the right of the tenths place, which is 1 (in the hundredths place).
    Full step-by-step solution

    Step 1: Identify the tenths place in 3.718. The tenths place is the first digit after the decimal point, which is 7. Step 2: Look at the digit to the right of the tenths place, which is 1 (in the hundredths place). Step 3: Since 1 is less than 5, we do not round up. The tenths digit stays 7. Step 4: All digits to the right of the tenths place become zero, so we get 3.700, which is written as 3.7. The answer is 3.7.

  5. round(9.847, 1) = ? Answer: 9.8 Solution: Identify the digit in the tenths place (first decimal place): 8 Look at the digit in the hundredths place (second decimal place): 4 Since the hundredths digit is 4, which is less than 5, we do not round up.
    Full step-by-step solution

    Step 1: Identify the digit in the tenths place (first decimal place): 8 Step 2: Look at the digit in the hundredths place (second decimal place): 4 Step 3: Since the hundredths digit is 4, which is less than 5, we do not round up. Step 4: The tenths digit (8) stays the same, and we drop all digits to the right. Step 5: The rounded number is 9.8. The answer is 9.8.

  6. Mere is measuring the weight of her pumpkin for the school's annual pumpkin-growing contest. Her pumpkin weighs 5.628 kilograms. The contest rules require all weights to be reported rounded to the nearest tenth of a kilogram. What weight should Mere report for her pumpkin? Answer: 5.6 Solution: Identify the tenths place in 5.628. The tenths place is the first digit after the decimal point, which is 6. Look at the digit to the right of the tenths place.
    Full step-by-step solution

    Step 1: Identify the tenths place in 5.628. The tenths place is the first digit after the decimal point, which is 6. Step 2: Look at the digit to the right of the tenths place. That is the hundredths place, which is 2. Step 3: Since 2 is less than 5, we do not round up the tenths digit. The tenths digit stays as 6. Step 4: All digits to the right of the tenths place become zero, so we get 5.600, which simplifies to 5.6. The answer is 5.6.

  7. Round 8.357 to the nearest hundredth. Answer: 8.36 Solution: Identify the hundredths place and the thousandths place in 8.357. The hundredths digit is 5, and the thousandths digit is 7. Since the thousandths digit (7) is 5 or greater, we round the hundredths digit (5) up by 1.
    Full step-by-step solution

    Step 1: Identify the hundredths place and the thousandths place in 8.357. The hundredths digit is 5, and the thousandths digit is 7. Step 2: Since the thousandths digit (7) is 5 or greater, we round the hundredths digit (5) up by 1. Step 3: Rounding 5 up gives 6. The digits to the left of the hundredths place remain the same. Step 4: Therefore, 8.357 rounded to the nearest hundredth is 8.36.