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Rounding Multi Digit Numbers

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Rounding Multi Digit Numbers
CCSS.MATH.CONTENT.4.NBT.A.3

Basics on the topic Rounding Multi Digit Numbers

Content

In this Rounding Multi-Digit Whole Numbers Video

Skylar is using her telescope to look at the night sky. She wants to know about how far away objects are from the ground. She will round multi-digit numbers to several place values to get approximate distances of a plane, a satellite, and the moon…even a UFO!

What is Rounding?

Rounding numbers is a way of simplifying a number. When we round, our number will be an approximate answer, not an exact one. We can round to any place value of a multi-digit number by using the RULES OF ROUNDING.

Rules of Rounding

What strategies can you use when rounding multi-digit numbers? These are the rules for rounding multi-digit numbers. First, identify the place value being rounded and UNDERLINE the digit. Next, find the place value of the digit to the RIGHT and CIRCLE it. This number will tell us what we need to do. SEO_25206_line_10.svg

If the number you are rounding is followed by zero to four… the number being rounded stays the same. SEO_25206_line_14.svg

If the number you are rounding is followed by five to nineround the number up to the next number because it is closer to the next whole number. SEO_25206_line_16.svg

Finally, all the remaining place values after the rounded number are replaced with zeros. SEO_25206_line_17.svg

Have You Practiced Yet?

With sofatutor, you can round multi-digit numbers to any place value with additional exercises and rounding multi-digit numbers worksheets. The rounding video, exercises, and multi-digit worksheet will help you understand how to round numbers with many digits and to any place value.

Transcript Rounding Multi Digit Numbers

Skylar wants to know about how far away objects are from the ground. We can help her find approximate distances by "Rounding Multi-Digit Numbers" to any place value. Rounding numbers is a way of simplifying a number. When we round, our number will be an approximate answer, not an exact one. We can round to any place value of a multi-digit number by using the RULES OF ROUNDING. First, identify the place value being rounded and UNDERLINE the digit. Next, find the place value of the digit to the RIGHT and CIRCLE it. This number will tell us what we need to do. Now, look at these two place values. If the number you are rounding is followed by five to nine... round the number UP to the NEXT NUMBER because it is closer to the next whole number. If the number you are rounding is followed by zero to four... the number being rounded STAYS THE SAME. Finally, all the remaining place values AFTER the rounded number are replaced with zeros. Sklyar sees a plane flying at thirty-eight thousand, eight hundred, fifty-five feet. Let's help round to the nearest ten-thousands place to identify the approximate distance. First, put our exact number in the place value chart… and identify the place value we are rounding. We are rounding the ten-thousands place, so UNDERLINE the THREE. Next, find and circle the place value of the digit to the right, which is the eight in the thousands place. The eight tells us to round UP. That means we change the ten thousand place to a four… and the following place values are replaced with zeros. Thirty-eight thousand, eight hundred, fifty-five feet rounded to the nearest ten-thousands is FORTY-THOUSAND. The plane was flying at approximately forty-thousand feet. Skylar looks into space and sees a satellite. The satellite is twenty-two thousand, two hundred, twenty-three miles away. We can round the distance of the satellite to the THOUSANDS place to get an approximate distance. We’ll put the exact number in the place value chart. First, identify the digit in the place value we are rounding and underline it. What do we underline? (...) We underline the TWO in the THOUSANDS place. Now, circle the digit to the right(...) which is THIS two in the hundreds place. What does the two in the hundreds place tell us to do the two in the thousands place? (...) The two tells us the digit stays the same. The following place values will be replaced with zeros. Notice the digit in the TEN thousand place didn’t change. This is because it is BEFORE the place value we rounded. The satellite is approximately twenty-two thousand miles away. Skylar views the moon. It is two hundred, thirty-eight thousand, eight hundred, fifty-five miles away. We’ll round this distance to the HUNDREDS place to get a close approximation. First, put the number in the place value chart and underline the digit we are rounding. What number do we underline? (...) The eight in the HUNDREDS place. Now, circle the digit to the right. What number do we circle? (...) The five in the TENS place. What does five tell us to do to the eight? (...) Round UP to nine. What is the rounded number? (...) Two hundred, thirty-eight thousand, NINE HUNDRED. The moon is approximately two hundred, thirty-eight thousand, nine hundred miles away. Skylar spots UFO in the distance. While she tries to identify it(...) let's summarize. Remember...rounding numbers is a way of simplifying a number to make it easier to work with. We can round to any place value of a multi-digit number by using the RULES OF ROUNDING. First, identify the place value being rounded and UNDERLINE the digit. Next, find the place value of the digit to the right and CIRCLE it. If the number you are rounding is followed by five to nine, round the number up to the next number. If the number you are rounding is followed by zero to four, the number being rounded stays the same. It's a BIRD!? It's a PLANE!? IT'S SUPER HENRY!