QuestionIdentify the benchmark ten thousands for 821,059 and place them on a number line with 821,059.

Studdy Solution

STEP 1

Assumptions1. The number given is821,059. We are asked to find the ten thousands benchmarks for this number3. A benchmark in this context refers to numbers that are multiples of ten thousand (10,000) and are close to the given number

STEP 2

First, we need to find the ten thousands place in the given number. In the number821,059, the ten thousands place is occupied by2.

STEP 3

The benchmark ten thousands are the multiples of ten thousand (10,000) that are closest to the given number. To find these, we can divide the given number by ten thousand and round down and up to the nearest whole numbers.
$Lower\, benchmark = \left\lfloor\frac{821,059}{10,000}\right\rfloor \times10,000$ $Upper\, benchmark = \left\lceil\frac{821,059}{10,000}\right\rceil \times10,000$

STEP 4

Now, plug in the given number into the formulas to find the lower and upper benchmarks.
$Lower\, benchmark = \left\lfloor\frac{821,059}{10,000}\right\rfloor \times10,000 =820,000$ $Upper\, benchmark = \left\lceil\frac{821,059}{10,000}\right\rceil \times10,000 =830,000$

STEP 5

Now that we have the lower and upper benchmarks, we can place these along with the given number on the number line. The number line should start at the lower benchmark (820,000) and end at the upper benchmark (830,000), with the given number (821,059) marked in its appropriate location.
The benchmarks for the number821,059 are820,000 and830,000.

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